def test_example_09():
from hermes2d.examples.c09 import set_bc, temp_ext, set_forms
# The following parameters can be changed:
INIT_REF_NUM = 4 # number of initial uniform mesh refinements
INIT_REF_NUM_BDY = 1 # number of initial uniform mesh refinements towards the boundary
P_INIT = 4 # polynomial degree of all mesh elements
TAU = 300.0 # time step in seconds
# Problem constants
T_INIT = 10 # temperature of the ground (also initial temperature)
FINAL_TIME = 86400 # length of time interval (24 hours) in seconds
# Global variable
TIME = 0;
# Boundary markers.
bdy_ground = 1
bdy_air = 2
# Load the mesh
mesh = Mesh()
mesh.load(get_cathedral_mesh())
# Perform initial mesh refinements
for i in range(INIT_REF_NUM):
mesh.refine_all_elements()
mesh.refine_towards_boundary(bdy_air, INIT_REF_NUM_BDY)
# Create an H1 space with default shapeset
space = H1Space(mesh, P_INIT)
set_bc(space)
# Set initial condition
tsln = Solution()
tsln.set_const(mesh, T_INIT)
# Initialize the weak formulation
wf = WeakForm()
set_forms(wf)
# Initialize the linear system.
ls = LinSystem(wf)
ls.set_spaces(space)
# Time stepping
nsteps = int(FINAL_TIME/TAU + 0.5)
rhsonly = False;
# Assemble and solve
ls.assemble()
rhsonly = True
ls.solve_system(tsln, lib="scipy")
def test_example_09():
from hermes2d.examples.c09 import set_bc, temp_ext, set_forms
# The following parameters can be changed:
INIT_REF_NUM = 4 # number of initial uniform mesh refinements
INIT_REF_NUM_BDY = 1 # number of initial uniform mesh refinements towards the boundary
P_INIT = 4 # polynomial degree of all mesh elements
TAU = 300.0 # time step in seconds
# Problem constants
T_INIT = 10 # temperature of the ground (also initial temperature)
FINAL_TIME = 86400 # length of time interval (24 hours) in seconds
# Global variable
TIME = 0
# Boundary markers.
bdy_ground = 1
bdy_air = 2
# Load the mesh
mesh = Mesh()
mesh.load(get_cathedral_mesh())
# Perform initial mesh refinements
for i in range(INIT_REF_NUM):
mesh.refine_all_elements()
mesh.refine_towards_boundary(bdy_air, INIT_REF_NUM_BDY)
# Create an H1 space with default shapeset
space = H1Space(mesh, P_INIT)
set_bc(space)
# Set initial condition
tsln = Solution()
tsln.set_const(mesh, T_INIT)
# Initialize the weak formulation
wf = WeakForm()
set_forms(wf)
# Initialize the linear system.
ls = LinSystem(wf)
ls.set_spaces(space)
# Time stepping
nsteps = int(FINAL_TIME / TAU + 0.5)
rhsonly = False
# Assemble and solve
ls.assemble()
rhsonly = True
ls.solve_system(tsln, lib="scipy")
def test_example_09():
from hermes2d.examples.c09 import set_bc, temp_ext, set_forms
# The following parameters can be played with:
P_INIT = 1 # polynomial degree of elements
INIT_REF_NUM = 4 # number of initial uniform refinements
TAU = 300.0 # time step in seconds
# Problem constants
T_INIT = 10 # temperature of the ground (also initial temperature)
FINAL_TIME = 86400 # length of time interval (24 hours) in seconds
# Global variable
TIME = 0
# Load the mesh
mesh = Mesh()
mesh.load(get_cathedral_mesh())
# for i in range(INIT_REF_NUM):
# mesh.refine_all_elements()
# mesh.refine_towards_boundary(2, 5)
# Set up shapeset
shapeset = H1Shapeset()
pss = PrecalcShapeset(shapeset)
# Set up spaces
space = H1Space(mesh, shapeset)
set_bc(space)
space.set_uniform_order(P_INIT)
# Enumerate basis functions
space.assign_dofs()
# Set initial condition
tsln = Solution()
tsln.set_const(mesh, T_INIT)
# Weak formulation
wf = WeakForm(1)
set_forms(wf, tsln)
# Matrix solver
solver = DummySolver()
# Linear system
ls = LinSystem(wf, solver)
ls.set_spaces(space)
ls.set_pss(pss)
# Visualisation
sview = ScalarView("Temperature", 0, 0, 450, 600)
# title = "Time %s, exterior temperature %s" % (TIME, temp_ext(TIME))
# Tview.set_min_max_range(0,20);
# Tview.set_title(title);
# Tview.fix_scale_width(3);
# Time stepping
nsteps = int(FINAL_TIME / TAU + 0.5)
rhsonly = False
# Assemble and solve
ls.assemble()
rhsonly = True
ls.solve_system(tsln)
TAU = 300.0 # time step in seconds
# Problem constants
T_INIT = 10 # temperature of the ground (also initial temperature)
FINAL_TIME = 86400 # length of time interval (24 hours) in seconds
# Global variable
TIME = 0
# Boundary markers.
bdy_ground = 1
bdy_air = 2
# Load the mesh
mesh = Mesh()
mesh.load(get_cathedral_mesh())
# Perform initial mesh refinements
for i in range(INIT_REF_NUM):
mesh.refine_all_elements()
mesh.refine_towards_boundary(bdy_air, INIT_REF_NUM_BDY)
# Create an H1 space with default shapeset
space = H1Space(mesh, P_INIT)
set_bc(space)
# Set initial condition
tsln = Solution()
tsln.set_const(mesh, T_INIT)
# Initialize the weak formulation
# The following parameters can be played with:
P_INIT = 1 # polynomial degree of elements
INIT_REF_NUM = 4 # number of initial uniform refinements
TAU = 300.0 # time step in seconds
# Problem constants
T_INIT = 10 # temperature of the ground (also initial temperature)
FINAL_TIME = 86400 # length of time interval (24 hours) in seconds
# Global variable
TIME = 0;
# Load the mesh
mesh = Mesh()
mesh.load(get_cathedral_mesh())
for i in range(INIT_REF_NUM):
mesh.refine_all_elements()
mesh.refine_towards_boundary(2, 5)
# Set up shapeset
shapeset = H1Shapeset()
pss = PrecalcShapeset(shapeset)
# Set up spaces
space = H1Space(mesh, shapeset)
set_bc(space)
space.set_uniform_order(P_INIT)
# Enumerate basis functions
