def shockbubble(use_petsc=False,outdir='./_output',solver_type='classic'):
"""
Solve the Euler equations of compressible fluid dynamics.
This example involves a bubble of dense gas that is impacted by a shock.
"""
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type=='sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.euler_5wave_2D)
solver.dq_src=dq_Euler_radial
solver.weno_order=5
solver.lim_type=2
else:
solver = pyclaw.ClawSolver2D(riemann.euler_5wave_2D)
solver.dimensional_split = 0
solver.transverse_waves = 2
solver.limiters = [4,4,4,4,2]
solver.step_source=step_Euler_radial
solver.bc_lower[0]=pyclaw.BC.custom
solver.bc_upper[0]=pyclaw.BC.extrap
solver.bc_lower[1]=pyclaw.BC.wall
solver.bc_upper[1]=pyclaw.BC.extrap
#Aux variable in ghost cells doesn't matter
solver.aux_bc_lower[0]=pyclaw.BC.extrap
solver.aux_bc_upper[0]=pyclaw.BC.extrap
solver.aux_bc_lower[1]=pyclaw.BC.extrap
solver.aux_bc_upper[1]=pyclaw.BC.extrap
# Initialize domain
mx=160; my=40
x = pyclaw.Dimension('x',0.0,2.0,mx)
y = pyclaw.Dimension('y',0.0,0.5,my)
domain = pyclaw.Domain([x,y])
num_eqn = 5
num_aux=1
state = pyclaw.State(domain,num_eqn,num_aux)
state.problem_data['gamma']= gamma
state.problem_data['gamma1']= gamma1
qinit(state)
auxinit(state)
solver.user_bc_lower=shockbc
claw = pyclaw.Controller()
claw.tfinal = 0.75
claw.solution = pyclaw.Solution(state,domain)
claw.solver = solver
claw.num_output_times = 10
claw.outdir = outdir
return claw
def setup(use_petsc=False, outdir='./_output', solver_type='classic'):
"""
Example python script for solving the 2d advection equation.
"""
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.advection_2D)
solver.dimensional_split = 1
solver.limiters = pyclaw.limiters.tvd.vanleer
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.advection_2D)
solver.bc_lower[0] = pyclaw.BC.periodic
solver.bc_upper[0] = pyclaw.BC.periodic
solver.bc_lower[1] = pyclaw.BC.periodic
solver.bc_upper[1] = pyclaw.BC.periodic
solver.cfl_max = 1.0
solver.cfl_desired = 0.9
#===========================================================================
# Initialize domain, then initialize the solution associated to the domain and
# finally initialize aux array
#===========================================================================
# Domain:
mx = 50
my = 50
x = pyclaw.Dimension('x', 0.0, 1.0, mx)
y = pyclaw.Dimension('y', 0.0, 1.0, my)
domain = pyclaw.Domain([x, y])
num_eqn = 1
state = pyclaw.State(domain, num_eqn)
state.problem_data['u'] = 0.5 # Parameters (global auxiliary variables)
state.problem_data['v'] = 1.0
# Initial solution
# ================
qinit(state) # This function is defined above
#===========================================================================
# Set up controller and controller parameters
#===========================================================================
claw = pyclaw.Controller()
claw.tfinal = 2.0
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.setplot = setplot
claw.keep_copy = True
return claw
def setup(use_petsc=False,solver_type='classic', outdir='_output', kernel_language='Fortran',
disable_output=False, mx=320, my=80, tfinal=0.6, num_output_times = 10):
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type=='sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.euler_5wave_2D)
solver.dq_src = dq_Euler_radial
solver.weno_order = 5
solver.lim_type = 2
else:
solver = pyclaw.ClawSolver2D(riemann.euler_5wave_2D)
solver.step_source = step_Euler_radial
solver.source_split = 1
solver.limiters = [4,4,4,4,2]
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
x = pyclaw.Dimension(0.0,2.0,mx,name='x')
y = pyclaw.Dimension(0.0,0.5,my,name='y')
domain = pyclaw.Domain([x,y])
num_aux=1
state = pyclaw.State(domain,num_eqn,num_aux)
state.problem_data['gamma']= gamma
qinit(state)
auxinit(state)
solver.user_bc_lower = incoming_shock
solver.bc_lower[0]=pyclaw.BC.custom
solver.bc_upper[0]=pyclaw.BC.extrap
solver.bc_lower[1]=pyclaw.BC.wall
solver.bc_upper[1]=pyclaw.BC.extrap
#Aux variable in ghost cells doesn't matter
solver.aux_bc_lower[0]=pyclaw.BC.extrap
solver.aux_bc_upper[0]=pyclaw.BC.extrap
solver.aux_bc_lower[1]=pyclaw.BC.extrap
solver.aux_bc_upper[1]=pyclaw.BC.extrap
claw = pyclaw.Controller()
claw.solution = pyclaw.Solution(state,domain)
claw.solver = solver
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.tfinal = tfinal
claw.num_output_times = num_output_times
claw.outdir = outdir
claw.setplot = setplot
return claw
def kpp(use_petsc=False,
iplot=False,
htmlplot=False,
outdir='./_output',
solver_type='classic'):
"""
Example python script for solving the 2d KPP equations.
"""
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D()
else:
solver = pyclaw.ClawSolver2D()
from clawpack import riemann
solver.rp = riemann.rp2_kpp
solver.num_waves = 1
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.extrap
# Initialize domain
mx = 200
my = 200
x = pyclaw.Dimension('x', -2.0, 2.0, mx)
y = pyclaw.Dimension('y', -2.0, 2.0, my)
domain = pyclaw.Domain([x, y])
num_eqn = 1
state = pyclaw.State(domain, num_eqn)
qinit(state)
solver.dimensional_split = 1
solver.cfl_max = 1.0
solver.cfl_desired = 0.9
solver.num_waves = 2
solver.limiters = pyclaw.limiters.tvd.minmod
claw = pyclaw.Controller()
claw.tfinal = 1.0
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.num_output_times = 10
# Solve
status = claw.run()
if htmlplot: pyclaw.plot.html_plot(outdir=outdir)
if iplot: pyclaw.plot.interactive_plot(outdir=outdir)
def __init__(self, shape=None, mx=160, my=40, use_petsc=False, **kwargs):
super(PFASSTShockBubble, self).__init__()
if use_petsc:
import clawpack.petclaw as pyclaw
else:
import clawpack.pyclaw as pyclaw
import clawpack.riemann as riemann
solver = pyclaw.SharpClawSolver2D()
solver.dq_src = dq_Euler_radial
solver.weno_order = 5
solver.lim_type = 2
solver.rp = riemann.rp2_euler_5wave
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
solver.num_waves = 5
solver.bc_lower[0] = pyclaw.BC.custom
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.extrap
solver.aux_bc_lower[0] = pyclaw.BC.extrap
solver.aux_bc_upper[0] = pyclaw.BC.extrap
solver.aux_bc_lower[1] = pyclaw.BC.extrap
solver.aux_bc_upper[1] = pyclaw.BC.extrap
# initialize domain
x = pyclaw.Dimension('x', 0.0, 2.0, mx)
y = pyclaw.Dimension('y', 0.0, 0.5, my)
domain = pyclaw.Domain([x, y])
state = pyclaw.State(domain, 5, 1)
state.problem_data['gamma'] = gamma
state.problem_data['gamma1'] = gamma1
qinit(state)
auxinit(state)
solver.user_bc_lower = shockbc
solution = pyclaw.Solution(state, domain)
solver.setup(solution)
self.solution = solution
self.solver = solver
self.state = state
self.shape = (5 * mx * my, )
self.size = 5 * mx * my
self.qshape = (5, mx, my)
def setup(use_petsc=False, outdir='./_output', solver_type='classic'):
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.advection_2D)
solver.dimensional_split = 1
solver.limiters = pyclaw.limiters.tvd.vanleer
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.advection_2D)
solver.bc_lower[0] = pyclaw.BC.periodic
solver.bc_upper[0] = pyclaw.BC.periodic
solver.bc_lower[1] = pyclaw.BC.periodic
solver.bc_upper[1] = pyclaw.BC.periodic
solver.cfl_max = 1.0
solver.cfl_desired = 0.9
# Domain:
mx = 50
my = 50
x = pyclaw.Dimension(0.0, 1.0, mx, name='x')
y = pyclaw.Dimension(0.0, 1.0, my, name='y')
domain = pyclaw.Domain([x, y])
num_eqn = 1
state = pyclaw.State(domain, num_eqn)
state.problem_data['u'] = 0.5 # Advection velocity
state.problem_data['v'] = 1.0
qinit(state)
claw = pyclaw.Controller()
claw.tfinal = 2.0
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.setplot = setplot
claw.keep_copy = True
return claw
def setup(use_petsc=False, outdir='./_output', solver_type='classic'):
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.shallow_roe_with_efix_2D)
solver.limiters = pyclaw.limiters.tvd.MC
solver.dimensional_split = 1
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.shallow_roe_with_efix_2D)
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.wall
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.wall
# Domain:
xlower = -2.5
xupper = 2.5
mx = 150
ylower = -2.5
yupper = 2.5
my = 150
x = pyclaw.Dimension('x', xlower, xupper, mx)
y = pyclaw.Dimension('y', ylower, yupper, my)
domain = pyclaw.Domain([x, y])
state = pyclaw.State(domain, solver.num_eqn)
# Gravitational constant
state.problem_data['grav'] = 1.0
qinit(state)
claw = pyclaw.Controller()
claw.tfinal = 2.5
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.num_output_times = 10
claw.setplot = setplot
claw.keep_copy = True
return claw
def setup(use_petsc=False, outdir='./_output', solver_type='classic'):
"""
Example python script for solving the 2d KPP equations.
"""
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.kpp_2D)
else:
solver = pyclaw.ClawSolver2D(riemann.kpp_2D)
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.extrap
# Initialize domain
mx = 200
my = 200
x = pyclaw.Dimension('x', -2.0, 2.0, mx)
y = pyclaw.Dimension('y', -2.0, 2.0, my)
domain = pyclaw.Domain([x, y])
state = pyclaw.State(domain, solver.num_eqn)
qinit(state)
solver.dimensional_split = 1
solver.cfl_max = 1.0
solver.cfl_desired = 0.9
solver.limiters = pyclaw.limiters.tvd.minmod
claw = pyclaw.Controller()
claw.tfinal = 1.0
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.num_output_times = 10
claw.setplot = setplot
claw.keep_copy = True
return claw
def setup(use_petsc=False, outdir='./_output', solver_type='classic'):
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.kpp_2D)
else:
solver = pyclaw.ClawSolver2D(riemann.kpp_2D)
solver.dimensional_split = 1
solver.cfl_max = 1.0
solver.cfl_desired = 0.9
solver.limiters = pyclaw.limiters.tvd.minmod
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.extrap
# Initialize domain
mx = 200
my = 200
x = pyclaw.Dimension(-2.0, 2.0, mx, name='x')
y = pyclaw.Dimension(-2.0, 2.0, my, name='y')
domain = pyclaw.Domain([x, y])
state = pyclaw.State(domain, solver.num_eqn)
# Initial data
X, Y = state.grid.p_centers
r = np.sqrt(X**2 + Y**2)
state.q[0, :, :] = 0.25 * np.pi + 3.25 * np.pi * (r <= 1.0)
claw = pyclaw.Controller()
claw.tfinal = 1.0
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.setplot = setplot
claw.keep_copy = True
return claw
def shockbubble(use_petsc=False,
kernel_language='Fortran',
solver_type='classic',
iplot=False,
htmlplot=False,
outdir='_output',
disable_output=False):
"""
Solve the Euler equations of compressible fluid dynamics.
This example involves a bubble of dense gas that is impacted by a shock.
"""
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if kernel_language != 'Fortran':
raise Exception(
'Unrecognized value of kernel_language for Euler Shockbubble')
if solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D()
solver.dq_src = dq_Euler_radial
solver.weno_order = 5
solver.lim_type = 2
else:
solver = pyclaw.ClawSolver2D()
solver.limiters = [4, 4, 4, 4, 2]
solver.step_source = step_Euler_radial
# Initialize domain
mx = 160
my = 40
x = pyclaw.Dimension('x', 0.0, 2.0, mx)
y = pyclaw.Dimension('y', 0.0, 0.5, my)
domain = pyclaw.Domain([x, y])
num_eqn = 5
num_aux = 1
state = pyclaw.State(domain, num_eqn, num_aux)
state.problem_data['gamma'] = gamma
state.problem_data['gamma1'] = gamma1
tfinal = 0.2
qinit(state)
auxinit(state)
initial_solution = pyclaw.Solution(state, domain)
from clawpack import riemann
solver.rp = riemann.rp2_euler_5wave
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
solver.num_waves = 5
solver.dt_initial = 0.005
solver.user_bc_lower = shockbc
solver.source_split = 1
solver.bc_lower[0] = pyclaw.BC.custom
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.extrap
#Aux variable in ghost cells doesn't matter
solver.aux_bc_lower[0] = pyclaw.BC.extrap
solver.aux_bc_upper[0] = pyclaw.BC.extrap
solver.aux_bc_lower[1] = pyclaw.BC.extrap
solver.aux_bc_upper[1] = pyclaw.BC.extrap
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
# The output format MUST be set to petsc!
claw.tfinal = tfinal
claw.solution = initial_solution
claw.solver = solver
claw.num_output_times = 1
claw.outdir = outdir
# Solve
status = claw.run()
if htmlplot: pyclaw.plot.html_plot(file_format=claw.output_format)
if iplot: pyclaw.plot.interactive_plot(file_format=claw.output_format)
return claw.frames[claw.num_output_times].state
def psystem2D(iplot=False,kernel_language='Fortran',htmlplot=False,
outdir='./_output',solver_type='classic',
disable_output=False):
"""
Solve the p-system in 2D with variable coefficients
"""
####################################
######### MAIN PARAMETERS ##########
####################################
# Domain
x_lower=0.0; x_upper=200.00
y_lower=0.0; y_upper=1.0
# cells per layer
Nx=64
Ny=256
mx=(x_upper-x_lower)*Nx; my=(y_upper-y_lower)*Ny
# Initial condition parameters
A=10.
x0=0.0 # Center of initial perturbation
y0=0.25 # Center of initial perturbation
varx=5.0; vary=5.0 # Width of initial perturbation
# Boundary conditions
bc_x_lower=pyclaw.BC.wall; bc_x_upper=pyclaw.BC.extrap
bc_y_lower=pyclaw.BC.periodic; bc_y_upper=pyclaw.BC.periodic
#change x BCs to periodic
change_BCs=1
t_change_BCs=50
# Turning off 1st half of the domain. Useful in rect domains
turnZero_half_2D=1 #flag
t_turnZero=50
tfinal = 1000
num_output_times = 1000
# restart options
restart_from_frame = 670
if solver_type=='classic':
solver = pyclaw.ClawSolver2D()
elif solver_type=='sharpclaw':
solver = pyclaw.SharpClawSolver2D()
if kernel_language != 'Fortran':
raise Exception('Unrecognized value of kernel_language for 2D psystem')
from clawpack import riemann
solver.rp = riemann.rp2_psystem
solver.num_waves = 2
solver.limiters = pyclaw.limiters.tvd.MC
solver.bc_lower[0]=bc_x_lower
solver.bc_upper[0]=bc_x_upper
solver.bc_lower[1]=bc_y_lower
solver.bc_upper[1]=bc_y_upper
solver.aux_bc_lower[0]=bc_x_lower
solver.aux_bc_upper[0]=bc_x_upper
solver.aux_bc_lower[1]=bc_y_lower
solver.aux_bc_upper[1]=bc_y_upper
solver.fwave = True
solver.before_step = b4step
if solver_type=='classic':
solver.cfl_max = 0.45
solver.cfl_desired = 0.4
solver.dimensional_split=False
elif solver_type=='sharpclaw':
solver.cfl_max = 2.5
solver.cfl_desired = 2.45
#controller
claw = pyclaw.Controller()
claw.tfinal = tfinal
claw.solver = solver
claw.outdir = outdir
claw.num_output_times = num_output_times
if restart_from_frame is not None:
claw.solution = pyclaw.Solution(restart_from_frame, file_format='petsc',read_aux=False)
claw.solution.state.mp = 1
claw.solution.state.mF = 1
grid = claw.solution.domain.grid
claw.solution.state.aux = setaux(grid.x.centers,grid.y.centers)
#claw.num_output_times = num_output_times - restart_from_frame
claw.start_frame = restart_from_frame
else:
####################################
####################################
####################################
#Creation of Domain
x = pyclaw.Dimension('x',x_lower,x_upper,mx)
y = pyclaw.Dimension('y',y_lower,y_upper,my)
domain = pyclaw.Domain([x,y])
num_eqn = 3
num_aux = 4
state = pyclaw.State(domain,num_eqn,num_aux)
state.mF = 1
#Set global parameters
state.problem_data = {}
state.problem_data['turnZero_half_2D'] = turnZero_half_2D
state.problem_data['t_turnZero'] = t_turnZero
state.problem_data['change_BCs'] = change_BCs
state.problem_data['t_change_BCs'] = t_change_BCs
state.mp = 1
grid = state.grid
state.aux = setaux(grid.x.centers,grid.y.centers)
#Initial condition
qinit(state,A,x0,y0,varx,vary)
claw.solution = pyclaw.Solution(state,domain)
claw.num_output_times = num_output_times
claw.compute_p = compute_p
if disable_output:
claw.output_format = None
claw.compute_F = compute_F
claw.solution.state.keep_gauges = True
claw.solution.state.grid.add_gauges([[25.0,0.75],[50.0,0.75],[75.0,0.75],[25.0,1.25],[50.0,1.25],[75.0,1.25]])
solver.compute_gauge_values = gauge_pfunction
claw.write_aux_init = False
#Solve
status = claw.run()
if iplot: pyclaw.plot.interactive_plot()
if htmlplot: pyclaw.plot.html_plot()
return claw.solution.state
def shockbubble(use_petsc=False, solver_type='sharpclaw', kernel_language='Fortran',
dt=0.001, tfinal=0.02, outdir='test', restart=False):
"""Solve the Euler equations of compressible fluid dynamics.
This example involves a bubble of dense gas that is impacted by a
shock.
"""
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if kernel_language != 'Fortran':
raise Exception('Unrecognized value of kernel_language for Euler Shockbubble')
if solver_type=='sharpclaw':
solver = pyclaw.SharpClawSolver2D()
solver.dq_src=dq_Euler_radial
solver.weno_order=5
solver.lim_type=2
else:
solver = pyclaw.ClawSolver2D()
solver.limiters = [4,4,4,4,2]
solver.step_source=step_Euler_radial
solver.source_split = 1
solver.rp = riemann.rp2_euler_5wave
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
solver.num_waves = 5
solver.dt_initial = 0.005
solver.user_bc_lower = shockbc
solver.bc_lower[0] = pyclaw.BC.custom
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.extrap
# aux variable in ghost cells doesn't matter
solver.aux_bc_lower[0] = pyclaw.BC.extrap
solver.aux_bc_upper[0] = pyclaw.BC.extrap
solver.aux_bc_lower[1] = pyclaw.BC.extrap
solver.aux_bc_upper[1] = pyclaw.BC.extrap
# initial condition or restart
if restart:
initial_solution = pyclaw.Solution(1, path=restart)
initial_solution.t = 0.0
for state in initial_solution.states:
state.problem_data['gamma'] = gamma
state.problem_data['gamma1'] = gamma1
auxinit(state)
else:
mx, my = 160, 40
x = pyclaw.Dimension('x', 0.0, 2.0, mx)
y = pyclaw.Dimension('y', 0.0, 0.5, my)
num_eqn = 5
num_aux = 1
domain = pyclaw.Domain([x, y])
state = pyclaw.State(domain, num_eqn, num_aux)
state.problem_data['gamma'] = gamma
state.problem_data['gamma1'] = gamma1
auxinit(state)
qinit(state)
initial_solution = pyclaw.Solution(state, domain)
solver.dt_variable = False
solver.dt_initial = dt
solver.max_steps = 1e9
claw = pyclaw.Controller()
claw.keep_copy = True
claw.tfinal = tfinal
claw.solution = initial_solution
claw.solver = solver
claw.outdir = outdir
claw.num_output_times = int(tfinal/dt)
# Solve
status = claw.run()
return claw.frames[claw.num_output_times].state
def advection2D(iplot=False,
use_petsc=False,
htmlplot=False,
outdir='./_output',
solver_type='classic'):
"""
Example python script for solving the 2d advection equation.
"""
#===========================================================================
# Import libraries
#===========================================================================
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
#===========================================================================
# Setup solver and solver parameters
#===========================================================================
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D()
solver.dimensional_split = 1
solver.limiters = pyclaw.limiters.tvd.vanleer
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D()
from clawpack import riemann
solver.rp = riemann.rp2_advection
solver.bc_lower[0] = pyclaw.BC.periodic
solver.bc_upper[0] = pyclaw.BC.periodic
solver.bc_lower[1] = pyclaw.BC.periodic
solver.bc_upper[1] = pyclaw.BC.periodic
solver.num_waves = 1
solver.cfl_max = 1.0
solver.cfl_desired = 0.9
#===========================================================================
# Initialize domain, then initialize the solution associated to the domain and
# finally initialize aux array
#===========================================================================
# Domain:
mx = 50
my = 50
x = pyclaw.Dimension('x', 0.0, 1.0, mx)
y = pyclaw.Dimension('y', 0.0, 1.0, my)
domain = pyclaw.Domain([x, y])
num_eqn = 1
state = pyclaw.State(domain, num_eqn)
state.problem_data['u'] = 0.5 # Parameters (global auxiliary variables)
state.problem_data['v'] = 1.0
# Initial solution
# ================
qinit(state) # This function is defined above
#===========================================================================
# Set up controller and controller parameters
#===========================================================================
claw = pyclaw.Controller()
claw.tfinal = 2.0
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
#===========================================================================
# Solve the problem
#===========================================================================
status = claw.run()
#===========================================================================
# Plot results
#===========================================================================
if htmlplot: pyclaw.plot.html_plot(outdir=outdir)
if iplot: pyclaw.plot.interactive_plot(outdir=outdir)
return claw
def setup(kernel_language='Fortran',
use_petsc=False,
outdir='./_output',
solver_type='classic',
time_integrator='SSP104',
ptwise=False,
disable_output=False):
"""
Example python script for solving the 2d acoustics equations.
"""
if use_petsc:
from clawpack import petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
if ptwise:
solver = pyclaw.ClawSolver2D(riemann.acoustics_2D_ptwise)
else:
solver = pyclaw.ClawSolver2D(riemann.acoustics_2D)
solver.dimensional_split = True
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
solver.limiters = pyclaw.limiters.tvd.MC
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.acoustics_2D)
solver.time_integrator = time_integrator
if solver.time_integrator == 'SSP104':
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
elif solver.time_integrator == 'SSPMS32':
solver.cfl_max = 0.2
solver.cfl_desired = 0.16
else:
raise Exception(
'CFL desired and CFL max have not been provided for the particular time integrator.'
)
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.extrap
mx = 100
my = 100
x = pyclaw.Dimension(-1.0, 1.0, mx, name='x')
y = pyclaw.Dimension(-1.0, 1.0, my, name='y')
domain = pyclaw.Domain([x, y])
num_eqn = 3
state = pyclaw.State(domain, num_eqn)
rho = 1.0 # Material density
bulk = 4.0 # Material bulk modulus
cc = np.sqrt(bulk / rho) # sound speed
zz = rho * cc # impedance
state.problem_data['rho'] = rho
state.problem_data['bulk'] = bulk
state.problem_data['zz'] = zz
state.problem_data['cc'] = cc
solver.dt_initial = np.min(
domain.grid.delta) / state.problem_data['cc'] * solver.cfl_desired
qinit(state)
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.num_output_times = 10
claw.tfinal = 0.12
claw.setplot = setplot
return claw
def setup(kernel_language='Fortran',
use_petsc=False,
outdir='./_output',
solver_type='classic',
disable_output=False):
"""
Example python script for solving the 2d acoustics equations.
"""
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.vc_acoustics_2D)
solver.dimensional_split = False
solver.limiters = pyclaw.limiters.tvd.MC
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.vc_acoustics_2D)
solver.bc_lower[0] = pyclaw.BC.wall
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.extrap
solver.aux_bc_lower[0] = pyclaw.BC.wall
solver.aux_bc_upper[0] = pyclaw.BC.extrap
solver.aux_bc_lower[1] = pyclaw.BC.wall
solver.aux_bc_upper[1] = pyclaw.BC.extrap
# Initialize domain
mx = 200
my = 200
x = pyclaw.Dimension('x', -1.0, 1.0, mx)
y = pyclaw.Dimension('y', -1.0, 1.0, my)
domain = pyclaw.Domain([x, y])
num_eqn = 3
num_aux = 2 # density, sound speed
state = pyclaw.State(domain, num_eqn, num_aux)
# Cell centers coordinates
grid = state.grid
Y, X = np.meshgrid(grid.y.centers, grid.x.centers)
# Set aux arrays
rhol = 4.0
rhor = 1.0
bulkl = 4.0
bulkr = 4.0
cl = np.sqrt(bulkl / rhol)
cr = np.sqrt(bulkr / rhor)
state.aux[0, :, :] = rhol * (X < 0.) + rhor * (X >= 0.) # Density
state.aux[1, :, :] = cl * (X < 0.) + cr * (X >= 0.) # Sound speed
# Set initial condition
x0 = -0.5
y0 = 0.
r = np.sqrt((X - x0)**2 + (Y - y0)**2)
width = 0.1
rad = 0.25
state.q[0, :, :] = (np.abs(r - rad) <= width) * (1. +
np.cos(np.pi *
(r - rad) / width))
state.q[1, :, :] = 0.
state.q[2, :, :] = 0.
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.num_output_times = 20
claw.write_aux_init = True
# Solve
claw.tfinal = 0.6
return claw
def setup(kernel_language='Fortran',
use_petsc=False,
outdir='./_output',
solver_type='classic',
time_integrator='SSP104',
lim_type=2,
num_output_times=20,
disable_output=False,
num_cells=200):
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
riemann_solver = riemann.acoustics_mapped_2D
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann_solver)
solver.dimensional_split = False
solver.limiters = pyclaw.limiters.tvd.MC
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann_solver)
solver.time_integrator = time_integrator
solver.bc_lower[0] = pyclaw.BC.custom
solver.user_bc_lower = incoming_square_wave
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.extrap
solver.aux_bc_lower[0] = pyclaw.BC.extrap
solver.aux_bc_upper[0] = pyclaw.BC.extrap
solver.aux_bc_lower[1] = pyclaw.BC.extrap
solver.aux_bc_upper[1] = pyclaw.BC.extrap
x = pyclaw.Dimension(0., 1.0, num_cells, name='x')
y = pyclaw.Dimension(0., 1.0, num_cells, name='y')
domain = pyclaw.Domain([x, y])
num_eqn = 3
num_aux = 9 # geometry (7), impedance, sound speed
state = pyclaw.State(domain, num_eqn, num_aux)
state.grid.mapc2p = inclusion_mapping
a_x, a_y, length_left, b_x, b_y, length_bottom, area = compute_geometry(
state.grid)
state.aux[0, :, :] = a_x
state.aux[1, :, :] = a_y
state.aux[2, :, :] = length_left
state.aux[3, :, :] = b_x
state.aux[4, :, :] = b_y
state.aux[5, :, :] = length_bottom
state.aux[6, :, :] = area
state.index_capa = 6 # aux[6,:,:] holds the capacity function
grid = state.grid
xp, yp = grid.p_centers
state.aux[7, :, :] = 1.0 # Impedance
state.aux[8, :, :] = 1.0 # Sound speed
for i, circle in enumerate(circles):
# Set impedance and sound speed in each inclusion
radius = circle[0][0]
x0, y0 = circle[1]
distance = np.sqrt((xp - x0)**2 + (yp - y0)**2)
in_circle = np.where(distance <= radius)
state.aux[7][in_circle] = impedance[i]
state.aux[8][in_circle] = sound_speed[i]
# Set initial condition
state.q[0, :, :] = 0.
state.q[1, :, :] = 0.
state.q[2, :, :] = 0.
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.tfinal = 0.9
claw.num_output_times = num_output_times
claw.write_aux_init = True
claw.setplot = setplot
if use_petsc:
claw.output_options = {'format': 'binary'}
return claw
def setup(kernel_language='Fortran',
use_petsc=False,
outdir='./_output',
solver_type='classic',
disable_output=False,
cells_per_layer=30,
tfinal=18.):
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
# material parameters
KA = 1.
rhoA = 1.
KB = 4.
rhoB = 4.
stress_rel = 2
# Domain
x_lower = 0.25
x_upper = 20.25
y_lower = 0.25
y_upper = 20.25
# cells per layer
mx = int((x_upper - x_lower) * cells_per_layer)
my = int((y_upper - y_lower) * cells_per_layer)
# Initial condition parameters
initial_amplitude = 10.
x0 = 0.25 # Center of initial perturbation
y0 = 0.25 # Center of initial perturbation
varx = 0.5
vary = 0.5 # Width of initial perturbation
num_output_times = 10
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.psystem_2D)
solver.dimensional_split = False
solver.cfl_max = 0.9
solver.cfl_desired = 0.8
solver.limiters = pyclaw.limiters.tvd.superbee
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.psystem_2D)
if kernel_language != 'Fortran':
raise Exception('Unrecognized value of kernel_language for 2D psystem')
# Boundary conditions
solver.bc_lower[0] = pyclaw.BC.wall
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.extrap
solver.aux_bc_lower[0] = pyclaw.BC.wall
solver.aux_bc_upper[0] = pyclaw.BC.extrap
solver.aux_bc_lower[1] = pyclaw.BC.wall
solver.aux_bc_upper[1] = pyclaw.BC.extrap
solver.fwave = True
solver.before_step = b4step
#controller
claw = pyclaw.Controller()
claw.tfinal = tfinal
claw.solver = solver
claw.outdir = outdir
# restart options
restart_from_frame = None
if restart_from_frame is None:
x = pyclaw.Dimension(x_lower, x_upper, mx, name='x')
y = pyclaw.Dimension(y_lower, y_upper, my, name='y')
domain = pyclaw.Domain([x, y])
num_eqn = 3
num_aux = 4
state = pyclaw.State(domain, num_eqn, num_aux)
state.mF = 1
state.mp = 1
grid = state.grid
state.aux = setaux(grid.x.centers, grid.y.centers, KA, KB, rhoA, rhoB,
stress_rel)
#Initial condition
qinit(state, initial_amplitude, x0, y0, varx, vary)
claw.solution = pyclaw.Solution(state, domain)
claw.num_output_times = num_output_times
else:
claw.solution = pyclaw.Solution(restart_from_frame,
format='petsc',
read_aux=False)
claw.solution.state.mp = 1
grid = claw.solution.domain.grid
claw.solution.state.aux = setaux(grid.x.centers, grid.y.centers)
claw.num_output_times = num_output_times - restart_from_frame
claw.start_frame = restart_from_frame
#claw.p_function = p_function
if disable_output:
claw.output_format = None
claw.compute_F = total_energy
claw.compute_p = compute_stress
claw.write_aux_init = False
grid.add_gauges([[0.25, 0.25], [17.85, 1.25], [3.25, 18.75],
[11.75, 11.75]])
solver.compute_gauge_values = gauge_stress
state.keep_gauges = True
claw.setplot = setplot
claw.keep_copy = True
return claw
def advection_annulus(use_petsc=False,
iplot=0,
htmlplot=False,
outdir='./_output',
solver_type='classic'):
#===========================================================================
# Import libraries
#===========================================================================
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
#===========================================================================
# Setup solver and solver parameters
#===========================================================================
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D()
solver.dimensional_split = 0
solver.transverse_waves = 2
solver.order = 2
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D()
from clawpack import riemann
solver.rp = riemann.rp2_vc_advection
solver.num_waves = 1
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.periodic
solver.bc_upper[1] = pyclaw.BC.periodic
solver.aux_bc_lower[0] = pyclaw.BC.custom
solver.aux_bc_upper[0] = pyclaw.BC.custom
solver.user_aux_bc_lower = velocities_lower
solver.user_aux_bc_upper = velocities_upper
solver.aux_bc_lower[1] = pyclaw.BC.periodic
solver.aux_bc_upper[1] = pyclaw.BC.periodic
solver.dt_initial = 0.1
solver.cfl_max = 0.5
solver.cfl_desired = 0.2
solver.limiters = pyclaw.limiters.tvd.vanleer
#===========================================================================
# Initialize domain and state, then initialize the solution associated to the
# state and finally initialize aux array
#===========================================================================
# Domain:
xlower = 0.2
xupper = 1.0
mx = 40
ylower = 0.0
yupper = np.pi * 2.0
my = 120
x = pyclaw.Dimension('x', xlower, xupper, mx)
y = pyclaw.Dimension('y', ylower, yupper, my)
domain = pyclaw.Domain([x, y])
domain.grid.mapc2p = mapc2p_annulus # Override default_mapc2p function implemented in geometry.py
# State:
num_eqn = 1 # Number of equations
state = pyclaw.State(domain, num_eqn)
# Set initial solution
# ====================
qinit(state, mx, my) # This function is defined above
# Set auxiliary array
# ===================
state.aux = setaux(state, mx, my) # This function is defined above
state.index_capa = 2
#===========================================================================
# Set up controller and controller parameters
#===========================================================================
claw = pyclaw.Controller()
claw.keep_copy = False
claw.output_style = 1
claw.num_output_times = 10
claw.tfinal = 1.0
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
#===========================================================================
# Solve the problem
#===========================================================================
status = claw.run()
#===========================================================================
# Plot results
#===========================================================================
if htmlplot: pyclaw.plot.html_plot(outdir=outdir)
if iplot: pyclaw.plot.interactive_plot(outdir=outdir)
def acoustics2D(iplot=False,
kernel_language='Fortran',
htmlplot=False,
use_petsc=False,
outdir='./_output',
solver_type='classic',
disable_output=False):
"""
Example python script for solving the 2d acoustics equations.
"""
if use_petsc:
from clawpack import petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D()
solver.dimensional_split = True
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D()
if kernel_language != 'Fortran':
raise Exception(
'Unrecognized value of kernel_language for 2D acoustics')
from clawpack.riemann import rp2_acoustics
solver.rp = rp2_acoustics
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
solver.num_waves = 2
solver.limiters = pyclaw.limiters.tvd.MC
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.extrap
# Initialize domain
mx = 100
my = 100
x = pyclaw.Dimension('x', -1.0, 1.0, mx)
y = pyclaw.Dimension('y', -1.0, 1.0, my)
domain = pyclaw.Domain([x, y])
num_eqn = 3
state = pyclaw.State(domain, num_eqn)
rho = 1.0
bulk = 4.0
cc = np.sqrt(bulk / rho)
zz = rho * cc
state.problem_data['rho'] = rho
state.problem_data['bulk'] = bulk
state.problem_data['zz'] = zz
state.problem_data['cc'] = cc
qinit(state)
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.solution = pyclaw.Solution(state, domain)
solver.dt_initial = np.min(
domain.grid.delta) / state.problem_data['cc'] * solver.cfl_desired
claw.solver = solver
claw.outdir = outdir
num_output_times = 10
claw.num_output_times = num_output_times
# Solve
claw.tfinal = 0.12
status = claw.run()
if htmlplot:
pyclaw.plot.html_plot(outdir=outdir, file_format=claw.output_format)
if iplot:
pyclaw.plot.interactive_plot(outdir=outdir,
file_format=claw.output_format)
return claw.frames[-1].state
def setup(aux_time_dep=True,
kernel_language='Fortran',
use_petsc=False,
outdir='./_output',
solver_type='classic',
time_integrator='SSP104',
lim_type=2,
disable_output=False,
num_cells=(n_x, 1)):
"""
Example python script for solving the 2d acoustics equations.
"""
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.vc_acoustics_2D)
solver.dimensional_split = False
solver.limiters = pyclaw.limiters.tvd.MC
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.vc_acoustics_2D)
solver.time_integrator = time_integrator
if time_integrator == 'SSPLMMk2':
solver.lmm_steps = 3
solver.cfl_max = 0.25
solver.cfl_desired = 0.24
solver.bc_lower[0] = pyclaw.BC.periodic
solver.bc_upper[0] = pyclaw.BC.periodic
solver.bc_lower[1] = pyclaw.BC.periodic
solver.bc_upper[1] = pyclaw.BC.periodic
solver.aux_bc_lower[0] = pyclaw.BC.periodic
solver.aux_bc_upper[0] = pyclaw.BC.periodic
solver.aux_bc_lower[1] = pyclaw.BC.periodic
solver.aux_bc_upper[1] = pyclaw.BC.periodic
#uses parameters initialized at the start of the code to define space size and resolution
x = pyclaw.Dimension(ax, bx, num_cells[0], name='x')
y = pyclaw.Dimension(ay, by, num_cells[1], name='y')
domain = pyclaw.Domain([x, y])
num_eqn = 3
num_aux = 2 # For the electromagnetic case the auxiliary variables are mu and epsilon
state = pyclaw.State(domain, num_eqn, num_aux)
grid = state.grid
X, Y = grid.p_centers
#
# N_pl=1000
# X_pl,T_pl = np.mgrid[ax:bx:1000*1j, t_0:t_F:1000*1j];
# p_MG=plt.pcolor(X_pl,T_pl,f_u(X_pl,0.0,T_pl,c_1,c_2))
# plt.savefig("_plots/Checkerboard.png",dpi=1000)
# state.aux[0,:,:] = gamma/f_u(X,Y,0.0,c_1,c_2) # Density
## state.aux[1,:,:] = f_u(X,Y,0.0,c_1 ,c_2 ) # Sound speed
# state.aux[1,:,:] = f_u(X,Y,0.0,c_1 ,c_2) # Sound speed
#sets initial material properties
state.aux[0, :, :] = f_u(X, Y, 0.0, rho_1, rho_2) # Density
# state.aux[1,:,:] = f_u(X,Y,0.0,c_1 ,c_2 ) # Sound speed
state.aux[1, :, :] = f_u(X, Y, 0.0, c_1, c_2) # Sound speed
x0 = -0.5
y0 = 0.
r = np.sqrt((X - x0)**2 + (Y - y0)**
2) # calculates a radial distance to a specified point (x0,y0)
width = 0.10
rad = 0.25
state.q[0, :, :] = f_bump(
X, 0.0, 0.25) # sets the initial condition along the x direction
#use just one of these
#for asymmetric initial condition
state.q[1, :, :] = f_bump(X, 0.0, 0.25)
#for less asymmetric initial condition
# state.q[1,:,:] = 0.5*f_bump(X,0.0,0.25)
#for symmetric initial condition
# state.q[1,:,:] = 0.0
state.q[2, :, :] = 0.0
#!!Sets Local Material Properties State, outputs current wave state to buffer, calculates current energy and outputs it to CSV with current time step for plotting
def DoBefore(solver, state):
#TotEnergy = total_energy(state)
# state.aux[0,:,:] = f_u(X,Y,state.t,rho_1,rho_2)# Density
## state.aux[1,:,:] = f_u(X,Y,state.t,c_1 ,c_2 ) # Sound speed
# state.aux[0,:,:] = gamma/f_u(X,Y,state.t,c_1 ,c_2 ) # Matching Impedances
state.aux[0, :, :] = f_u(X, Y, state.t, rho_1, rho_2) # Density
state.aux[1, :, :] = f_u(X, Y, state.t, c_1, c_2) # Sound speed
#These must somehow differ from what is used to calculate energy later in add_plots
#print '{0},{1}'.format(state.t, TotEnergy) #original output for CSV, moved to setplot so that this doesn't have to be done ten thousand times
#Prevstep = state.q
solver.before_step = DoBefore
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.tfinal = t_F
claw.num_output_times = timeInterfaceNum * 50 #sets how many graphs are produced: this one allows scale-up to longer timescales when
#outputting energy over time
# claw.num_output_times = 100 #sets how many graphs are produced
claw.write_aux_init = True
claw.write_aux = True
claw.setplot = setplot
if use_petsc:
claw.output_options = {'format': 'binary'}
return claw
def setup(use_petsc=False,
kernel_language='Fortran',
solver_type='classic',
outdir='_output',
disable_output=False,
mx=320,
my=80,
tfinal=0.6,
num_output_times=10):
"""
Solve the Euler equations of compressible fluid dynamics.
This example involves a bubble of dense gas that is impacted by a shock.
"""
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if kernel_language != 'Fortran':
raise Exception(
'Unrecognized value of kernel_language for Euler Shockbubble')
if solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.euler_5wave_2D)
solver.dq_src = dq_Euler_radial
solver.weno_order = 5
solver.lim_type = 2
else:
solver = pyclaw.ClawSolver2D(riemann.euler_5wave_2D)
solver.limiters = [4, 4, 4, 4, 2]
solver.step_source = step_Euler_radial
# Initialize domain
x = pyclaw.Dimension('x', 0.0, 2.0, mx)
y = pyclaw.Dimension('y', 0.0, 0.5, my)
domain = pyclaw.Domain([x, y])
num_aux = 1
state = pyclaw.State(domain, solver.num_eqn, num_aux)
state.problem_data['gamma'] = gamma
state.problem_data['gamma1'] = gamma1
qinit(state)
auxinit(state)
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
solver.dt_initial = 0.005
solver.user_bc_lower = shockbc
solver.source_split = 1
solver.bc_lower[0] = pyclaw.BC.custom
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.extrap
#Aux variable in ghost cells doesn't matter
solver.aux_bc_lower[0] = pyclaw.BC.extrap
solver.aux_bc_upper[0] = pyclaw.BC.extrap
solver.aux_bc_lower[1] = pyclaw.BC.extrap
solver.aux_bc_upper[1] = pyclaw.BC.extrap
claw = pyclaw.Controller()
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.tfinal = tfinal
claw.num_output_times = num_output_times
claw.outdir = outdir
claw.setplot = setplot
return claw
def shallow2D(use_petsc=False,
outdir='./_output',
solver_type='classic',
disable_output=False):
#===========================================================================
# Import libraries
#===========================================================================
import numpy as np
import clawpack.peanoclaw as peanoclaw
import clawpack.riemann as riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
import clawpack.pyclaw as pyclaw
#===========================================================================
# Setup solver and solver parameters
#===========================================================================
subdivisionFactor = 6
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.shallow_roe_with_efix_2D)
solver.limiters = pyclaw.limiters.tvd.MC
solver.dimensional_split = 1
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.shallow_roe_with_efix_2D)
peanoSolver = peanoclaw.Solver(solver, (1. / 3.) / subdivisionFactor, init)
solver.dt_initial = 1.0
solver.bc_lower[0] = pyclaw.BC.wall
solver.bc_upper[0] = pyclaw.BC.wall
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.wall
#===========================================================================
# Initialize domain and state, then initialize the solution associated to the
# state and finally initialize aux array
#===========================================================================
# Domain:
from clawpack.pyclaw import geometry
print(geometry.__file__)
xlower = 0.0
xupper = 1.0
mx = subdivisionFactor
ylower = 0.0
yupper = 1.0
my = subdivisionFactor
x = pyclaw.Dimension('x', xlower, xupper, mx)
y = pyclaw.Dimension('y', ylower, yupper, my)
domain = geometry.Domain([x, y])
num_eqn = 3 # Number of equations
state = pyclaw.State(domain, num_eqn)
grav = 1.0 # Parameter (global auxiliary variable)
state.problem_data['grav'] = grav
#===========================================================================
# Set up controller and controller parameters
#===========================================================================
claw = pyclaw.Controller()
claw.tfinal = 0.1
claw.solution = peanoclaw.solution.Solution(state, domain)
claw.solver = peanoSolver
claw.outdir = outdir
if disable_output:
claw.output_format = None
claw.num_output_times = 5
return claw
def shallow2D(use_petsc=False,
iplot=0,
htmlplot=False,
outdir='./_output',
solver_type='classic'):
#===========================================================================
# Import libraries
#===========================================================================
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
#===========================================================================
# Setup solver and solver parameters
#===========================================================================
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D()
solver.limiters = pyclaw.limiters.tvd.MC
solver.dimensional_split = 1
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D()
from clawpack import riemann
solver.rp = riemann.rp2_shallow_roe_with_efix
solver.num_waves = 3
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.wall
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.wall
#===========================================================================
# Initialize domain and state, then initialize the solution associated to the
# state and finally initialize aux array
#===========================================================================
# Domain:
xlower = -2.5
xupper = 2.5
mx = 150
ylower = -2.5
yupper = 2.5
my = 150
x = pyclaw.Dimension('x', xlower, xupper, mx)
y = pyclaw.Dimension('y', ylower, yupper, my)
domain = pyclaw.Domain([x, y])
num_eqn = 3 # Number of equations
state = pyclaw.State(domain, num_eqn)
grav = 1.0 # Parameter (global auxiliary variable)
state.problem_data['grav'] = grav
# Initial solution
# ================
# Riemann states of the dam break problem
damRadius = 0.5
hl = 2.
ul = 0.
vl = 0.
hr = 1.
ur = 0.
vr = 0.
qinit(state, hl, ul, vl, hr, ur, vr,
damRadius) # This function is defined above
#===========================================================================
# Set up controller and controller parameters
#===========================================================================
claw = pyclaw.Controller()
claw.tfinal = 2.5
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.num_output_times = 10
#===========================================================================
# Solve the problem
#===========================================================================
status = claw.run()
#===========================================================================
# Plot results
#===========================================================================
if iplot:
pyclaw.plot.interactive_plot(outdir=outdir,
file_format=claw.output_format)
if htmlplot:
pyclaw.plot.html_plot(outdir=outdir, file_format=claw.output_format)
def setup(kernel_language='Fortran',use_petsc=False,outdir='./_output',solver_type='classic', disable_output=False):
"""
Example python script for solving the 2d acoustics equations.
"""
from clawpack import riemann
if use_petsc:
from clawpack import petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type=='classic':
solver=pyclaw.ClawSolver2D(riemann.acoustics_2D)
solver.dimensional_split=True
elif solver_type=='sharpclaw':
solver=pyclaw.SharpClawSolver2D(riemann.acoustics_2D)
solver.cfl_max = 0.5
solver.cfl_desired = 0.45
solver.limiters = pyclaw.limiters.tvd.MC
solver.bc_lower[0]=pyclaw.BC.extrap
solver.bc_upper[0]=pyclaw.BC.extrap
solver.bc_lower[1]=pyclaw.BC.extrap
solver.bc_upper[1]=pyclaw.BC.extrap
# Initialize domain
mx=100; my=100
x = pyclaw.Dimension('x',-1.0,1.0,mx)
y = pyclaw.Dimension('y',-1.0,1.0,my)
domain = pyclaw.Domain([x,y])
num_eqn = 3
state = pyclaw.State(domain,num_eqn)
rho = 1.0
bulk = 4.0
cc = np.sqrt(bulk/rho)
zz = rho*cc
state.problem_data['rho']= rho
state.problem_data['bulk']=bulk
state.problem_data['zz']= zz
state.problem_data['cc']=cc
qinit(state)
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.solution = pyclaw.Solution(state,domain)
solver.dt_initial=np.min(domain.grid.delta)/state.problem_data['cc']*solver.cfl_desired
claw.solver = solver
claw.outdir = outdir
num_output_times = 10
claw.num_output_times = num_output_times
claw.tfinal = 0.12
return claw
def setup(kernel_language='Fortran',
use_petsc=False,
outdir='./_output',
solver_type='classic',
time_integrator='SSP104',
lim_type=2,
disable_output=False,
num_cells=(200, 200)):
"""
Example python script for solving the 2d acoustics equations.
"""
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.vc_acoustics_2D)
solver.dimensional_split = False
solver.limiters = pyclaw.limiters.tvd.MC
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.vc_acoustics_2D)
solver.time_integrator = time_integrator
if time_integrator == 'SSPMS32':
solver.cfl_max = 0.25
solver.cfl_desired = 0.24
solver.bc_lower[0] = pyclaw.BC.wall
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.extrap
solver.aux_bc_lower[0] = pyclaw.BC.wall
solver.aux_bc_upper[0] = pyclaw.BC.extrap
solver.aux_bc_lower[1] = pyclaw.BC.wall
solver.aux_bc_upper[1] = pyclaw.BC.extrap
x = pyclaw.Dimension('x', -1.0, 1.0, num_cells[0])
y = pyclaw.Dimension('y', -1.0, 1.0, num_cells[1])
domain = pyclaw.Domain([x, y])
num_eqn = 3
num_aux = 2 # density, sound speed
state = pyclaw.State(domain, num_eqn, num_aux)
grid = state.grid
X, Y = grid.p_centers
rho_left = 4.0 # Density in left half
rho_right = 1.0 # Density in right half
bulk_left = 4.0 # Bulk modulus in left half
bulk_right = 4.0 # Bulk modulus in right half
c_left = np.sqrt(bulk_left / rho_left) # Sound speed (left)
c_right = np.sqrt(bulk_right / rho_right) # Sound speed (right)
state.aux[0, :, :] = rho_left * (X < 0.) + rho_right * (X >= 0.) # Density
state.aux[1, :, :] = c_left * (X < 0.) + c_right * (X >= 0.) # Sound speed
# Set initial condition
x0 = -0.5
y0 = 0.
r = np.sqrt((X - x0)**2 + (Y - y0)**2)
width = 0.1
rad = 0.25
state.q[0, :, :] = (np.abs(r - rad) <= width) * (1. +
np.cos(np.pi *
(r - rad) / width))
state.q[1, :, :] = 0.
state.q[2, :, :] = 0.
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.tfinal = 0.6
claw.num_output_times = 20
claw.write_aux_init = True
claw.setplot = setplot
if use_petsc:
claw.output_options = {'format': 'binary'}
return claw
def setup(use_petsc=False,outdir='./_output',solver_type='classic'):
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.vc_advection_2D)
solver.dimensional_split = False
solver.transverse_waves = 2
solver.order = 2
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.vc_advection_2D)
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.extrap
solver.bc_lower[1] = pyclaw.BC.periodic
solver.bc_upper[1] = pyclaw.BC.periodic
solver.aux_bc_lower[0] = pyclaw.BC.custom
solver.aux_bc_upper[0] = pyclaw.BC.custom
solver.user_aux_bc_lower = ghost_velocities_lower
solver.user_aux_bc_upper = ghost_velocities_upper
solver.aux_bc_lower[1] = pyclaw.BC.periodic
solver.aux_bc_upper[1] = pyclaw.BC.periodic
solver.dt_initial = 0.1
solver.cfl_max = 0.5
solver.cfl_desired = 0.4
solver.limiters = pyclaw.limiters.tvd.vanleer
r_lower = 0.2
r_upper = 1.0
m_r = 40
theta_lower = 0.0
theta_upper = np.pi*2.0
m_theta = 120
r = pyclaw.Dimension('r', r_lower,r_upper,m_r)
theta = pyclaw.Dimension('theta',theta_lower,theta_upper,m_theta)
domain = pyclaw.Domain([r,theta])
domain.grid.mapc2p = mapc2p_annulus
num_eqn = 1
state = pyclaw.State(domain,num_eqn)
qinit(state)
dx, dy = state.grid.delta
p_corners = state.grid.p_edges
state.aux = edge_velocities_and_area(p_corners[0],p_corners[1],dx,dy)
state.index_capa = 2 # aux[2,:,:] holds the capacity function
claw = pyclaw.Controller()
claw.tfinal = 1.0
claw.solution = pyclaw.Solution(state,domain)
claw.solver = solver
claw.outdir = outdir
claw.setplot = setplot
claw.keep_copy = True
return claw
def setup(use_petsc=False,outdir='./_output',solver_type='classic'):
#===========================================================================
# Import libraries
#===========================================================================
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
#===========================================================================
# Setup solver and solver parameters
#===========================================================================
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.shallow_roe_with_efix_2D)
solver.limiters = pyclaw.limiters.tvd.MC
solver.dimensional_split=1
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.shallow_roe_with_efix_2D)
solver.bc_lower[0] = pyclaw.BC.extrap
solver.bc_upper[0] = pyclaw.BC.wall
solver.bc_lower[1] = pyclaw.BC.extrap
solver.bc_upper[1] = pyclaw.BC.wall
#===========================================================================
# Initialize domain and state, then initialize the solution associated to the
# state and finally initialize aux array
#===========================================================================
# Domain:
xlower = -2.5
xupper = 2.5
mx = 150
ylower = -2.5
yupper = 2.5
my = 150
x = pyclaw.Dimension('x',xlower,xupper,mx)
y = pyclaw.Dimension('y',ylower,yupper,my)
domain = pyclaw.Domain([x,y])
state = pyclaw.State(domain,solver.num_eqn)
grav = 1.0 # Parameter (global auxiliary variable)
state.problem_data['grav'] = grav
# Initial solution
# ================
# Riemann states of the dam break problem
damRadius = 0.5
hl = 2.
ul = 0.
vl = 0.
hr = 1.
ur = 0.
vr = 0.
qinit(state,hl,ul,vl,hr,ur,vr,damRadius) # This function is defined above
#===========================================================================
# Set up controller and controller parameters
#===========================================================================
claw = pyclaw.Controller()
claw.tfinal = 2.5
claw.solution = pyclaw.Solution(state,domain)
claw.solver = solver
claw.outdir = outdir
claw.num_output_times = 10
return claw
def shallow2D(use_petsc=False,iplot=0,htmlplot=False,outdir='./_output',solver_type='classic',amr_type=None):
#===========================================================================
# Import libraries
#===========================================================================
from clawpack import riemann
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
#===========================================================================
# Setup solver and solver parameters
#===========================================================================
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D(riemann.shallow_roe_with_efix_2D)
solver.limiters = pyclaw.limiters.tvd.MC
solver.dimensional_split=1
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.shallow_roe_with_efix_2D)
solver.bc_lower[0] = pyclaw.BC.wall
solver.bc_upper[0] = pyclaw.BC.wall
solver.bc_lower[1] = pyclaw.BC.wall
solver.bc_upper[1] = pyclaw.BC.wall
#===========================================================================
# Initialize domain and state, then initialize the solution associated to the
# state and finally initialize aux array
#===========================================================================
# resolution of each grid
mgrid = 6
# number of initial AMR grids in each dimension
msubgrid = 9
if amr_type is not None:
m = mgrid
else:
# number of Domain grid cells expressed as the product of
# grid resolution and the number of AMR sub-grids for
# easy comparison between the two methods
m = mgrid*msubgrid
mx = m
my = m
# Domain:
xlower = 0
xupper = 1
ylower = 0
yupper = 1
x = pyclaw.Dimension('x',xlower,xupper,mx)
y = pyclaw.Dimension('y',ylower,yupper,my)
domain = pyclaw.Domain([x,y])
state = pyclaw.State(domain,solver.num_eqn)
grav = 1.0 # Parameter (global auxiliary variable)
state.problem_data['grav'] = grav
# Initial solution
# ================
# Riemann states of the dam break problem
damRadius = 0.25 #0.5
hl = 2.
ul = 0.
vl = 0.
hr = 1.
ur = 0.
vr = 0.
qinit(state,hl,ul,vl,hr,ur,vl,damRadius) # This function is defined above
# this closure is used by AMR-style codes
def qinit_callback(state):
qinit(state,hl,ul,vl,hr,ur,vl,damRadius)
#===========================================================================
# Set up controller and controller parameters
#===========================================================================
claw = pyclaw.Controller()
claw.tfinal = 3e-1 #3e-1 #0.03
if amr_type is not None:
if amr_type == 'peano':
import peanoclaw as amrclaw
claw.solver = amrclaw.Solver(solver
,1/(mgrid*msubgrid)
,qinit_callback
#,refinement_criterion=refinement_criterion_time_dependent
#,refinement_criterion=refinement_criterion
#,refinement_criterion=refinement_criterion_gradient
)
claw.solution = amrclaw.Solution(state, domain)
else:
raise Exception('unsupported amr_type %s' % amr_type)
else:
claw.solver = solver
claw.solution = pyclaw.Solution(state,domain)
#claw.keep_copy = True
#claw.outdir = outdir
claw.keep_copy = False
claw.output_format = None
claw.outdir = None
claw.num_output_times = 10
#===========================================================================
# Plot results
#===========================================================================
if htmlplot: pyclaw.plot.html_plot(outdir=outdir)
if iplot: pyclaw.plot.interactive_plot(outdir=outdir)
return claw
def psystem2D(iplot=False,
kernel_language='Fortran',
htmlplot=False,
use_petsc=False,
outdir='./_output',
solver_type='classic',
disable_output=False):
"""
Solve the p-system in 2D with variable coefficients
"""
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
####################################
######### MAIN PARAMETERS ##########
####################################
# Domain
x_lower = 0.25
x_upper = 20.25
y_lower = 0.25
y_upper = 20.25
# cells per layer
Ng = 10
mx = (x_upper - x_lower) * Ng
my = (y_upper - y_lower) * Ng
# Initial condition parameters
A = 10.
x0 = 0.25 # Center of initial perturbation
y0 = 0.25 # Center of initial perturbation
varx = 0.5
vary = 0.5 # Width of initial perturbation
# Boundary conditions
bc_x_lower = pyclaw.BC.wall
bc_x_upper = pyclaw.BC.extrap
bc_y_lower = pyclaw.BC.wall
bc_y_upper = pyclaw.BC.extrap
# Turning off 1st half of the domain. Useful in rect domains
turnZero_half_2D = 0 #flag
t_turnZero = 50
num_output_times = 10
# restart options
restart_from_frame = None
if solver_type == 'classic':
solver = pyclaw.ClawSolver2D()
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D()
if kernel_language != 'Fortran':
raise Exception('Unrecognized value of kernel_language for 2D psystem')
from clawpack import riemann
solver.rp = riemann.rp2_psystem
solver.num_waves = 2
solver.limiters = pyclaw.limiters.tvd.superbee
solver.bc_lower[0] = bc_x_lower
solver.bc_upper[0] = bc_x_upper
solver.bc_lower[1] = bc_y_lower
solver.bc_upper[1] = bc_y_upper
solver.aux_bc_lower[0] = bc_x_lower
solver.aux_bc_upper[0] = bc_x_upper
solver.aux_bc_lower[1] = bc_y_lower
solver.aux_bc_upper[1] = bc_y_upper
solver.fwave = True
solver.cfl_max = 0.9
solver.cfl_desired = 0.8
solver.before_step = b4step
solver.dimensional_split = False
#controller
claw = pyclaw.Controller()
claw.tfinal = 40.0
claw.solver = solver
claw.outdir = outdir
if restart_from_frame is not None:
claw.solution = pyclaw.Solution(restart_from_frame,
format='petsc',
read_aux=False)
claw.solution.state.mp = 1
grid = claw.solution.domain.grid
claw.solution.state.aux = setaux(grid.x.centers, grid.y.centers)
claw.num_output_times = num_output_times - restart_from_frame
claw.start_frame = restart_from_frame
else:
####################################
####################################
####################################
#Creation of Domain
x = pyclaw.Dimension('x', x_lower, x_upper, mx)
y = pyclaw.Dimension('y', y_lower, y_upper, my)
domain = pyclaw.Domain([x, y])
num_eqn = 3
num_aux = 4
state = pyclaw.State(domain, num_eqn, num_aux)
state.mF = 3
#Set global parameters
state.problem_data = {}
state.problem_data['turnZero_half_2D'] = turnZero_half_2D
state.problem_data['t_turnZero'] = t_turnZero
state.mp = 1
grid = state.grid
state.aux = setaux(grid.x.centers, grid.y.centers)
#Initial condition
qinit(state, A, x0, y0, varx, vary)
claw.solution = pyclaw.Solution(state, domain)
claw.num_output_times = num_output_times
#claw.p_function = p_function
if disable_output:
claw.output_format = None
claw.compute_F = compute_F
state.keep_gauges = True
grid.add_gauges([[0.25, 0.25], [17.85, 1.25], [3.25, 18.75],
[11.75, 11.75]])
solver.compute_gauge_values = gauge_pfunction
claw.write_aux_init = False
#Solve
status = claw.run()
if iplot: pyclaw.plot.interactive_plot()
if htmlplot: pyclaw.plot.html_plot()
return claw.solution.state
def setup(use_petsc=False,
kernel_language='Fortran',
outdir='./_output',
solver_type='classic',
riemann_solver='roe',
disable_output=False):
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if kernel_language == 'Python':
if riemann_solver.lower() == 'roe':
raise Exception('Python Roe solver not implemented.')
elif riemann_solver.lower() == 'hlle':
rs = riemann.shallow_1D_py.shallow_hll_1D
elif kernel_language == 'Fortran':
if riemann_solver.lower() == 'roe':
rs = riemann.shallow_roe_with_efix_1D
elif riemann_solver.lower() == 'hlle':
rs = riemann.shallow_hlle_1D
if solver_type == 'classic':
solver = pyclaw.ClawSolver1D(rs)
solver.limiters = pyclaw.limiters.tvd.vanleer
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver1D(rs)
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver2D(riemann.euler_5wave_2D)
solver.dq_src = dq_swe
solver.weno_order = 5
solver.lim_type = 2
else:
# solver = pyclaw.ClawSolver2D(riemann.euler_5wave_2D)
solver.step_source = step_swe
solver.source_split = 1
# solver.limiters = [11, 11] # 11 for A-R limiter
solver.limiters = [4, 4] # 4 for MC limiter
solver.cfl_max = 0.36
solver.cfl_desired = 0.35
solver.kernel_language = kernel_language
solver.bc_lower[0] = pyclaw.BC.periodic
solver.bc_upper[0] = pyclaw.BC.periodic
x = pyclaw.Dimension(xlower, xupper, mx, name='x')
domain = pyclaw.Domain(x)
state = pyclaw.State(domain, num_eqn)
# Gravitational constant
state.problem_data['grav'] = 9.81
state.problem_data['dry_tolerance'] = 1e-5
state.problem_data['sea_level'] = 0.0
xc = state.grid.x.centers
# I.C.: spatially varying disturbance
state.q[depth, :] = normal_depth * (
1.0 + dist_amp * np.sin(2.0 * np.pi * xc / wave_length))
state.q[momentum, :] = normal_velocity * normal_depth * (
1.0 + dist_amp * np.sin(2.0 * np.pi * xc / wave_length))
claw = pyclaw.Controller()
claw.keep_copy = True
if disable_output:
claw.output_format = None
claw.output_style = 1
claw.tfinal = sim_time
claw.num_output_times = int(
sim_time / output_interval) # conversion between two output styles
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
claw.outdir = outdir
claw.setplot = setplot
return claw