ex14p.py -m amr-quad.mesh -rs 3
ex14p.py -m amr-hex.mesh
'''
import sys
from mfem.common.arg_parser import ArgParser
from os.path import expanduser, join
import numpy as np
from mfem import path
import mfem.par as mfem
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
parser = ArgParser(description='Ex14p')
parser.add_argument('-m',
'--mesh',
default='star.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument(
'-rs',
'--refine-serial',
action='store',
default=-1,
type=int,
help="Number of times to refine the mesh uniformly before parallel")
parser.add_argument(
'-rp',
Description: This example code demonstrates the use of MFEM to define a
simple finite element discretization of the Laplace problem
-Delta u = 1 with homogeneous Dirichlet boundary conditions.
'''
import sys
from os.path import expanduser, join
import numpy as np
from mfem.common.arg_parser import ArgParser
from mfem import path
import mfem.ser as mfem
parser = ArgParser(description='Ex1 (Laplace Problem)')
parser.add_argument('-m',
'--mesh',
default='star.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument('-vis',
'--visualization',
action='store_true',
help='Enable GLVis visualization')
parser.add_argument(
'-o',
'--order',
action='store',
default=1,
u_coeff = mfem.GridFunctionCoefficient(u_alpha_gf)
self.K.AddDomainIntegrator(mfem.DiffusionIntegrator(u_coeff))
self.K.Assemble(0)
self.K.FormSystemMatrix(self.ess_tdof_list, self.Kmat)
self.T = None
class InitialTemperature(mfem.PyCoefficient):
def EvalValue(self, x):
xx = np.array(x)
norm2 = float(np.sum(xx**2))
if norm2 < 0.5: return 2.0
return 1.0
parser = ArgParser(description='Ex16p')
parser.add_argument('-m',
'--mesh',
default='star.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument(
'-rs',
'--refine-serial',
action='store',
default=2,
type=int,
help="Number of times to refine the mesh uniformly in serial")
parser.add_argument(
'-rp',
ex12p.py -m beam-quad-nurbs.mesh
ex12p.py -m beam-hex-nurbs.mesh
'''
import sys
from os.path import expanduser, join
import numpy as np
from mfem import path
from mfem.common.arg_parser import ArgParser
import mfem.par as mfem
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
parser = ArgParser(description='Ex12 (linear elastisity)')
parser.add_argument('-m',
'--mesh',
default='beam-tri.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument('-o',
'--order',
action='store',
default=1,
type=int,
help="Finite element order (polynomial degree)")
parser.add_argument("-n",
"--num-eigs",
action='store',
def initialize(self, inMeshObj=None, inMeshFile=None):
# 2. Problem initialization
self.parser = ArgParser(description='Based on MFEM Ex16p')
self.parser.add_argument('-m',
'--mesh',
default='beam-tet.mesh',
action='store',
type=str,
help='Mesh file to use.')
self.parser.add_argument('-rs',
'--refine-serial',
action='store',
default=1,
type=int,
help="Number of times to refine the mesh \
uniformly in serial")
self.parser.add_argument('-rp',
'--refine-parallel',
action='store',
default=0,
type=int,
help="Number of times to refine the mesh \
uniformly in parallel")
self.parser.add_argument('-o',
'--order',
action='store',
default=1,
type=int,
help="Finite element order (polynomial \
degree)")
self.parser.add_argument(
'-s',
'--ode-solver',
action='store',
default=3,
type=int,
help='\n'.join([
"ODE solver: 1 - Backward Euler, 2 - SDIRK2, \
3 - SDIRK3", "\t\t 11 - Forward Euler, \
12 - RK2, 13 - RK3 SSP, 14 - RK4."
]))
self.parser.add_argument('-t',
'--t-final',
action='store',
default=20.,
type=float,
help="Final time; start time is 0.")
self.parser.add_argument("-dt",
"--time-step",
action='store',
default=5e-3,
type=float,
help="Time step.")
self.parser.add_argument("-v",
"--viscosity",
action='store',
default=0.00,
type=float,
help="Viscosity coefficient.")
self.parser.add_argument('-L',
'--lmbda',
action='store',
default=1.e0,
type=float,
help='Lambda of Hooks law')
self.parser.add_argument('-mu',
'--shear-modulus',
action='store',
default=1.e0,
type=float,
help='Shear modulus for Hooks law')
self.parser.add_argument('-rho',
'--density',
action='store',
default=1.0,
type=float,
help='mass density')
self.parser.add_argument('-vis',
'--visualization',
action='store_true',
help='Enable GLVis visualization')
self.parser.add_argument('-vs',
'--visualization-steps',
action='store',
default=25,
type=int,
help="Visualize every n-th timestep.")
args = self.parser.parse_args()
self.ser_ref_levels = args.refine_serial
self.par_ref_levels = args.refine_parallel
self.order = args.order
self.dt = args.time_step
self.visc = args.viscosity
self.t_final = args.t_final
self.lmbda = args.lmbda
self.mu = args.shear_modulus
self.rho = args.density
self.visualization = args.visualization
self.ti = 1
self.vis_steps = args.visualization_steps
self.ode_solver_type = args.ode_solver
self.t = 0.0
self.last_step = False
if self.myId == 0: self.parser.print_options(args)
# 3. Reading mesh
if inMeshObj is None:
self.meshFile = inMeshFile
if self.meshFile is None:
self.meshFile = args.mesh
self.mesh = mfem.Mesh(self.meshFile, 1, 1)
else:
self.mesh = inMeshObj
self.dim = self.mesh.Dimension()
print("Mesh dimension: %d" % self.dim)
print("Number of vertices in the mesh: %d " % self.mesh.GetNV())
print("Number of elements in the mesh: %d " % self.mesh.GetNE())
# 4. Define the ODE solver used for time integration.
# Several implicit singly diagonal implicit
# Runge-Kutta (SDIRK) methods, as well as
# explicit Runge-Kutta methods are available.
if self.ode_solver_type == 1:
self.ode_solver = BackwardEulerSolver()
elif self.ode_solver_type == 2:
self.ode_solver = mfem.SDIRK23Solver(2)
elif self.ode_solver_type == 3:
self.ode_solver = mfem.SDIRK33Solver()
elif self.ode_solver_type == 11:
self.ode_solver = ForwardEulerSolver()
elif self.ode_solver_type == 12:
self.ode_solver = mfem.RK2Solver(0.5)
elif self.ode_solver_type == 13:
self.ode_solver = mfem.RK3SSPSolver()
elif self.ode_solver_type == 14:
self.ode_solver = mfem.RK4Solver()
elif self.ode_solver_type == 22:
self.ode_solver = mfem.ImplicitMidpointSolver()
elif self.ode_solver_type == 23:
self.ode_solver = mfem.SDIRK23Solver()
elif self.ode_solver_type == 24:
self.ode_solver = mfem.SDIRK34Solver()
else:
print("Unknown ODE solver type: " + str(self.ode_solver_type))
exit
# 5. Refine the mesh in serial to increase the
# resolution. In this example we do
# 'ser_ref_levels' of uniform refinement, where
# 'ser_ref_levels' is a command-line parameter.
for lev in range(self.ser_ref_levels):
self.mesh.UniformRefinement()
# 6. Define a parallel mesh by a partitioning of
# the serial mesh. Refine this mesh further
# in parallel to increase the resolution. Once the
# parallel mesh is defined, the serial mesh can
# be deleted.
self.pmesh = mfem.ParMesh(MPI.COMM_WORLD, self.mesh)
for lev in range(self.par_ref_levels):
self.pmesh.UniformRefinement()
# 7. Define the vector finite element space
# representing the current and the
# initial temperature, u_ref.
self.fe_coll = mfem.H1_FECollection(self.order, self.dim)
self.fespace = mfem.ParFiniteElementSpace(self.pmesh, self.fe_coll,
self.dim)
self.fe_size = self.fespace.GlobalTrueVSize()
if self.myId == 0:
print("FE Number of unknowns: " + str(self.fe_size))
true_size = self.fespace.TrueVSize()
self.true_offset = mfem.intArray(3)
self.true_offset[0] = 0
self.true_offset[1] = true_size
self.true_offset[2] = 2 * true_size
self.vx = mfem.BlockVector(self.true_offset)
self.v_gf = mfem.ParGridFunction(self.fespace)
self.v_gfbnd = mfem.ParGridFunction(self.fespace)
self.x_gf = mfem.ParGridFunction(self.fespace)
self.x_gfbnd = mfem.ParGridFunction(self.fespace)
self.x_ref = mfem.ParGridFunction(self.fespace)
self.pmesh.GetNodes(self.x_ref)
# 8. Set the initial conditions for u.
#self.velo = InitialVelocity(self.dim)
self.velo = velBCs(self.dim)
#self.deform = InitialDeformation(self.dim)
self.deform = defBCs(self.dim)
self.v_gf.ProjectCoefficient(self.velo)
self.v_gfbnd.ProjectCoefficient(self.velo)
self.x_gf.ProjectCoefficient(self.deform)
self.x_gfbnd.ProjectCoefficient(self.deform)
#self.v_gf.GetTrueDofs(self.vx.GetBlock(0));
#self.x_gf.GetTrueDofs(self.vx.GetBlock(1));
# setup boundary-conditions
self.xess_bdr = mfem.intArray(
self.fespace.GetMesh().bdr_attributes.Max())
self.xess_bdr.Assign(0)
self.xess_bdr[0] = 1
self.xess_bdr[1] = 1
self.xess_tdof_list = intArray()
self.fespace.GetEssentialTrueDofs(self.xess_bdr, self.xess_tdof_list)
#print('True x essential BCs are')
#self.xess_tdof_list.Print()
self.vess_bdr = mfem.intArray(
self.fespace.GetMesh().bdr_attributes.Max())
self.vess_bdr.Assign(0)
self.vess_bdr[0] = 1
self.vess_bdr[1] = 1
self.vess_tdof_list = intArray()
self.fespace.GetEssentialTrueDofs(self.vess_bdr, self.vess_tdof_list)
#print('True v essential BCs are')
#self.vess_tdof_list.Print()
# 9. Initialize the stiffness operator
self.oper = StiffnessOperator(self.fespace, self.lmbda, self.mu,
self.rho, self.visc, self.vess_tdof_list,
self.vess_bdr, self.xess_tdof_list,
self.xess_bdr, self.v_gfbnd,
self.x_gfbnd, self.deform, self.velo,
self.vx)
# 10. Setting up file output
self.smyid = '{:0>2d}'.format(self.myId)
# initializing ode solver
self.ode_solver.Init(self.oper)
import mfem.par as mfem
from mfem.common.arg_parser import ArgParser
from os.path import expanduser, join
import numpy as np
from numpy import sqrt, pi, cos, sin, hypot, arctan2
from scipy.special import erfc
from mfem import path
from mfem.par import intArray, add_vector
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
parser = ArgParser(description='Ex10p')
parser.add_argument('-m',
'--mesh',
default='beam-quad.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument(
'-rs',
'--refine-serial',
action='store',
default=2,
type=int,
help="Number of times to refine the mesh uniformly before parallel")
parser.add_argument(
'-rp',
self.output.flush()
def send_solution(self, mesh, x):
if self.output is None: return
self.output.send_solution(mesh, x)
def send_text(self, x):
if self.output is None: return
self.output.send_text(x)
def flush(self):
if self.output is None: return
self.output.flush()
parser = ArgParser(description='Ex17')
parser.add_argument('-m',
'--mesh',
default='beam-tri.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument(
'-rs',
'--refine-serial',
action='store',
default=-1,
type=int,
help="Number of times to refine the mesh uniformly before parallel")
parser.add_argument(
'-rp',
str(self.win_y + self.stride_y*(sid/self.win_nx)) +
' ' + str(self.win_w) + ' ' + str(self.win_h))
self.output.send_text(command)
self.output.flush()
def send_solution(self, mesh, x):
if self.output is None: return
self.output.send_solution(mesh, x)
def send_text(self, x):
if self.output is None: return
self.output.send_text(x)
def flush(self):
if self.output is None: return
self.output.flush()
parser = ArgParser(description='Ex17')
parser.add_argument('-m', '--mesh',
default = 'beam-tri.mesh',
action = 'store', type = str,
help='Mesh file to use.')
parser.add_argument('-r', '--refine',
action = 'store', default = -1, type=int,
help = "Number of times to refine the mesh uniformly, -1 for auto.")
parser.add_argument('-o', '--order',
action = 'store', default = 1, type=int,
help = "Finite element order (polynomial degree)");
parser.add_argument('-a', '--alpha',
action = 'store', default = -1.0, type=float,
help = '\n'.join(["One of the two DG penalty parameters, typically +1/-1."
" See the documentation of class DGElasticityIntegrator."]))
parser.add_argument('-k', '--kappa',
# 11. Recover the solution as a finite element grid function.
a.RecoverFEMSolution(X, b, x)
# 12. Save the refined mesh and the solution. This output can be viewed later
# using GLVis: "glvis -m refined.mesh -g sol.gf".
mesh.Print('refined.mesh', 8)
x.Save('sol.gf', 8)
#13. Send the solution by socket to a GLVis server.
if (visualization):
sol_sock = mfem.socketstream("localhost", 19916)
sol_sock.precision(8)
sol_sock.send_solution(mesh, x)
if __name__ == "__main__":
parser = ArgParser(description='Ex1 (Laplace Problem)')
parser.add_argument('-m',
'--mesh',
default='star.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument('-vis',
'--visualization',
action='store_true',
help='Enable GLVis visualization')
parser.add_argument(
'-o',
'--order',
action='store',
default=1,
ex2p.py -m beam-tri.mesh -o 2 -sys
ex2p.py -m beam-quad.mesh -o 3 -elast
ex2p.py -m beam-quad.mesh -o 3 -sc
'''
from mfem import path
from mfem.common.arg_parser import ArgParser
import mfem.par as mfem
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
import sys
from os.path import expanduser, join
import numpy as np
parser = ArgParser(description='Ex2 (linear elastisity)')
parser.add_argument('-m',
'--mesh',
default='beam-tri.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument('-vis',
'--visualization',
action='store_true',
help='Enable GLVis visualization')
parser.add_argument(
'-o',
'--order',
action='store',
default=1,
refinement loop.
See c++ version in the MFEM library for more detail
'''
from mfem import path
from mfem.common.arg_parser import ArgParser
import mfem.ser as mfem
from mfem.ser import intArray
from os.path import expanduser, join
import numpy as np
from numpy import sqrt, pi, cos, sin, hypot, arctan2
from scipy.special import erfc
# Equation constant parameters.(using globals to share them with ex18_common)
import ex18_common
parser = ArgParser(description='Ex18')
parser.add_argument('-m',
'--mesh',
default='periodic-square.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument(
'-p',
'--problem',
action='store',
default=1,
type=int,
help='Problem setup to use. See options in velocity_function().')
parser.add_argument('-r',
'--refine',
ex4p.py -m amr-hex.mesh -o 2 -hb
ex4p.py -m star-surf.mesh -o 3 -hb
'''
from mfem import path
from mfem.common.arg_parser import ArgParser
import mfem.par as mfem
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
import sys
from os.path import expanduser, join
import numpy as np
from numpy import sin, array, cos
parser = ArgParser(description='Ex4 ')
parser.add_argument('-m',
'--mesh',
default='star.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument('-o',
'--order',
action='store',
default=1,
type=int,
help="Finite element order (polynomial degree)")
parser.add_argument('-no-bc',
'--dont-impose-bc',
action='store_false',
ex11p.py -m mobius-strip.mesh -n 8
ex11p.py -m klein-bottle.mesh -n 10
'''
import sys
from os.path import expanduser, join
import numpy as np
from mfem import path
from mfem.common.arg_parser import ArgParser
import mfem.par as mfem
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
parser = ArgParser(description='Ex2 (linear elastisity)')
parser.add_argument('-m',
'--mesh',
default='beam-tri.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument(
'-rs',
'--refine-serial',
default=2,
action='store',
type=int,
help="Number of times to refine the mesh uniformly in serial.")
parser.add_argument(
ex8p.py -m star-surf.mesh -o 2
'''
import sys
from os.path import expanduser, join
import numpy as np
from numpy import sin, cos, exp, sqrt
from mfem.common.arg_parser import ArgParser
from mfem import path
import mfem.par as mfem
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
parser = ArgParser(description='Ex8p')
parser.add_argument('-m',
'--mesh',
default='star.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument('-o',
'--order',
action='store',
default=1,
type=int,
help="Finite element order (polynomial degree)")
parser.add_argument('-vis',
'--visualization',
action='store_true',
from mfem import path
import mfem.par as mfem
from mfem.par import intArray, add_vector, Add
from os.path import expanduser, join
import numpy as np
from numpy import sqrt, pi, cos, sin, hypot, arctan2
from scipy.special import erfc
# 1. Initialize MPI.from mpi4py import MPI
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
parser = ArgParser(description='Ex19p')
parser.add_argument('-m',
'--mesh',
default='beam-hex.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument(
'-rs',
'--refine-serial',
action='store',
default=0,
type=int,
help="Number of times to refine the mesh uniformly in serial")
parser.add_argument(
'-rp',
'''
import sys
from mfem.common.arg_parser import ArgParser
from os.path import expanduser, join
import numpy as np
from numpy import cos, sin, pi, exp, sqrt, arctan
from mfem import path
import mfem.par as mfem
from mpi4py import MPI
num_procs = MPI.COMM_WORLD.size
myid = MPI.COMM_WORLD.rank
parser = ArgParser(description='Ex15p')
parser.add_argument('-m',
'--mesh',
default='star-hilbert.mesh',
action='store',
type=str,
help='Mesh file to use.')
parser.add_argument(
"-p",
"--problem",
action='store',
default=0,
type=int,
help="Problem setup to use: 0 = spherical front, 1 = ball.")
parser.add_argument("-n",
"--nfeatures",
names = [os.path.join(example_dir, x) for x in names]
names = [x for x in names if os.access(x, os.X_OK)]
pairs = [(num, name) for num, name in zip(nums, names)]
names = [name for num, name in sorted(pairs)]
return names
def print_help(self):
print("python test.py -np -v")
if __name__=="__main__":
script_path = sys.path[0] # the location of this file
from mfem.common.arg_parser import ArgParser
parser = ArgParser(description='test')
parser.add_argument('-np', default = 2,
action = 'store', type = int,
help='Number of processes for MPI')
parser.add_argument('-verbose',
action = 'store_true', default = False,
help='Verbose print out')
parser.add_argument('-parallel',
action = 'store_true',
help='Test parallel version')
parser.add_argument('-serial',
action = 'store_true',
help='Test serial version')
parser.add_argument('-clean',
action = 'store_true', default = False,
help='Test serial version')
pairs = [(num, name) for num, name in zip(nums, names)]
names = [name for num, name in sorted(pairs)]
return names
def print_help(self):
print("python test.py -np -v")
if __name__ == "__main__":
script_path = sys.path[0] # the location of this file
from mfem.common.arg_parser import ArgParser
parser = ArgParser(description='test')
parser.add_argument('-np',
default=2,
action='store',
type=long,
help='Number of processes for MPI')
parser.add_argument('-verbose',
action='store_true',
default=False,
help='Verbose print out')
parser.add_argument('-parallel',
action='store',
default=True,
help='Test parallel version')
parser.add_argument('-serial',
action='store',
class mfemSim(object):
def __init__(self, desc=''):
# 1. Object initialization
self.desc = desc
self.myId = MPI.COMM_WORLD.rank
self.nProc = MPI.COMM_WORLD.size
def __del__(self):
# do nothing for now
self.finalize()
print('MFEM problem is deleted')
# problem initialization
def initialize(self, inMeshObj=None, inMeshFile=None):
# 2. Problem initialization
self.parser = ArgParser(description='Based on MFEM Ex16p')
self.parser.add_argument('-m',
'--mesh',
default='beam-tet.mesh',
action='store',
type=str,
help='Mesh file to use.')
self.parser.add_argument('-rs',
'--refine-serial',
action='store',
default=1,
type=int,
help="Number of times to refine the mesh \
uniformly in serial")
self.parser.add_argument('-rp',
'--refine-parallel',
action='store',
default=0,
type=int,
help="Number of times to refine the mesh \
uniformly in parallel")
self.parser.add_argument('-o',
'--order',
action='store',
default=1,
type=int,
help="Finite element order (polynomial \
degree)")
self.parser.add_argument(
'-s',
'--ode-solver',
action='store',
default=3,
type=int,
help='\n'.join([
"ODE solver: 1 - Backward Euler, 2 - SDIRK2, \
3 - SDIRK3", "\t\t 11 - Forward Euler, \
12 - RK2, 13 - RK3 SSP, 14 - RK4."
]))
self.parser.add_argument('-t',
'--t-final',
action='store',
default=20.,
type=float,
help="Final time; start time is 0.")
self.parser.add_argument("-dt",
"--time-step",
action='store',
default=5e-3,
type=float,
help="Time step.")
self.parser.add_argument("-v",
"--viscosity",
action='store',
default=0.00,
type=float,
help="Viscosity coefficient.")
self.parser.add_argument('-L',
'--lmbda',
action='store',
default=1.e0,
type=float,
help='Lambda of Hooks law')
self.parser.add_argument('-mu',
'--shear-modulus',
action='store',
default=1.e0,
type=float,
help='Shear modulus for Hooks law')
self.parser.add_argument('-rho',
'--density',
action='store',
default=1.0,
type=float,
help='mass density')
self.parser.add_argument('-vis',
'--visualization',
action='store_true',
help='Enable GLVis visualization')
self.parser.add_argument('-vs',
'--visualization-steps',
action='store',
default=25,
type=int,
help="Visualize every n-th timestep.")
args = self.parser.parse_args()
self.ser_ref_levels = args.refine_serial
self.par_ref_levels = args.refine_parallel
self.order = args.order
self.dt = args.time_step
self.visc = args.viscosity
self.t_final = args.t_final
self.lmbda = args.lmbda
self.mu = args.shear_modulus
self.rho = args.density
self.visualization = args.visualization
self.ti = 1
self.vis_steps = args.visualization_steps
self.ode_solver_type = args.ode_solver
self.t = 0.0
self.last_step = False
if self.myId == 0: self.parser.print_options(args)
# 3. Reading mesh
if inMeshObj is None:
self.meshFile = inMeshFile
if self.meshFile is None:
self.meshFile = args.mesh
self.mesh = mfem.Mesh(self.meshFile, 1, 1)
else:
self.mesh = inMeshObj
self.dim = self.mesh.Dimension()
print("Mesh dimension: %d" % self.dim)
print("Number of vertices in the mesh: %d " % self.mesh.GetNV())
print("Number of elements in the mesh: %d " % self.mesh.GetNE())
# 4. Define the ODE solver used for time integration.
# Several implicit singly diagonal implicit
# Runge-Kutta (SDIRK) methods, as well as
# explicit Runge-Kutta methods are available.
if self.ode_solver_type == 1:
self.ode_solver = BackwardEulerSolver()
elif self.ode_solver_type == 2:
self.ode_solver = mfem.SDIRK23Solver(2)
elif self.ode_solver_type == 3:
self.ode_solver = mfem.SDIRK33Solver()
elif self.ode_solver_type == 11:
self.ode_solver = ForwardEulerSolver()
elif self.ode_solver_type == 12:
self.ode_solver = mfem.RK2Solver(0.5)
elif self.ode_solver_type == 13:
self.ode_solver = mfem.RK3SSPSolver()
elif self.ode_solver_type == 14:
self.ode_solver = mfem.RK4Solver()
elif self.ode_solver_type == 22:
self.ode_solver = mfem.ImplicitMidpointSolver()
elif self.ode_solver_type == 23:
self.ode_solver = mfem.SDIRK23Solver()
elif self.ode_solver_type == 24:
self.ode_solver = mfem.SDIRK34Solver()
else:
print("Unknown ODE solver type: " + str(self.ode_solver_type))
exit
# 5. Refine the mesh in serial to increase the
# resolution. In this example we do
# 'ser_ref_levels' of uniform refinement, where
# 'ser_ref_levels' is a command-line parameter.
for lev in range(self.ser_ref_levels):
self.mesh.UniformRefinement()
# 6. Define a parallel mesh by a partitioning of
# the serial mesh. Refine this mesh further
# in parallel to increase the resolution. Once the
# parallel mesh is defined, the serial mesh can
# be deleted.
self.pmesh = mfem.ParMesh(MPI.COMM_WORLD, self.mesh)
for lev in range(self.par_ref_levels):
self.pmesh.UniformRefinement()
# 7. Define the vector finite element space
# representing the current and the
# initial temperature, u_ref.
self.fe_coll = mfem.H1_FECollection(self.order, self.dim)
self.fespace = mfem.ParFiniteElementSpace(self.pmesh, self.fe_coll,
self.dim)
self.fe_size = self.fespace.GlobalTrueVSize()
if self.myId == 0:
print("FE Number of unknowns: " + str(self.fe_size))
true_size = self.fespace.TrueVSize()
self.true_offset = mfem.intArray(3)
self.true_offset[0] = 0
self.true_offset[1] = true_size
self.true_offset[2] = 2 * true_size
self.vx = mfem.BlockVector(self.true_offset)
self.v_gf = mfem.ParGridFunction(self.fespace)
self.v_gfbnd = mfem.ParGridFunction(self.fespace)
self.x_gf = mfem.ParGridFunction(self.fespace)
self.x_gfbnd = mfem.ParGridFunction(self.fespace)
self.x_ref = mfem.ParGridFunction(self.fespace)
self.pmesh.GetNodes(self.x_ref)
# 8. Set the initial conditions for u.
#self.velo = InitialVelocity(self.dim)
self.velo = velBCs(self.dim)
#self.deform = InitialDeformation(self.dim)
self.deform = defBCs(self.dim)
self.v_gf.ProjectCoefficient(self.velo)
self.v_gfbnd.ProjectCoefficient(self.velo)
self.x_gf.ProjectCoefficient(self.deform)
self.x_gfbnd.ProjectCoefficient(self.deform)
#self.v_gf.GetTrueDofs(self.vx.GetBlock(0));
#self.x_gf.GetTrueDofs(self.vx.GetBlock(1));
# setup boundary-conditions
self.xess_bdr = mfem.intArray(
self.fespace.GetMesh().bdr_attributes.Max())
self.xess_bdr.Assign(0)
self.xess_bdr[0] = 1
self.xess_bdr[1] = 1
self.xess_tdof_list = intArray()
self.fespace.GetEssentialTrueDofs(self.xess_bdr, self.xess_tdof_list)
#print('True x essential BCs are')
#self.xess_tdof_list.Print()
self.vess_bdr = mfem.intArray(
self.fespace.GetMesh().bdr_attributes.Max())
self.vess_bdr.Assign(0)
self.vess_bdr[0] = 1
self.vess_bdr[1] = 1
self.vess_tdof_list = intArray()
self.fespace.GetEssentialTrueDofs(self.vess_bdr, self.vess_tdof_list)
#print('True v essential BCs are')
#self.vess_tdof_list.Print()
# 9. Initialize the stiffness operator
self.oper = StiffnessOperator(self.fespace, self.lmbda, self.mu,
self.rho, self.visc, self.vess_tdof_list,
self.vess_bdr, self.xess_tdof_list,
self.xess_bdr, self.v_gfbnd,
self.x_gfbnd, self.deform, self.velo,
self.vx)
# 10. Setting up file output
self.smyid = '{:0>2d}'.format(self.myId)
# initializing ode solver
self.ode_solver.Init(self.oper)
# stepping in time
def step(self, nStep):
# initialization
self.last_step = False
tFinal = self.t + self.dt * nStep
if (self.t + self.dt >= tFinal - self.dt / 2):
self.last_step = True
# loop for time stepping
while not self.last_step:
if (self.t + self.dt >= tFinal - self.dt / 2):
self.last_step = True
# update BCs
self.deform.SetTime(self.t)
self.velo.SetTime(self.t)
# step in time
self.t, self.dt = self.ode_solver.Step(self.vx, self.t, self.dt)
# writing to output
if (self.last_step or (self.ti % self.vis_steps) == 0):
if self.myId == 0:
print("Running step " + str(self.ti) + ", t = " +
str(self.t))
self.oper.SetBCs()
self.v_gf.Distribute(self.vx.GetBlock(0))
self.x_gf.Distribute(self.vx.GetBlock(1))
self.solToFile()
# preparing for the next time step
self.ti = self.ti + 1
self.oper.SetBCs()
# sets up simulation agent after a major update
# such as mass matrix or stiffness matrix
def postUpdate(self):
self.oper.RecoverSln(self.v_gf, self.x_gf)
# finalize the simulation
def finalize(self):
print('mfem simulation is finalizing')
# writes solution to file
def solToFile(self):
# print mesh to vtk format
sol_name = "fe-sol-" + self.smyid \
+ '-' + str(self.ti).zfill(6) + '.vtu'
#sol_name = "fe-sol-" + self.smyid \
#+ '-' + str(self.ti).zfill(6)
#self.vtkStream = open(sol_name+'.vtk', 'w')
#self.pmesh.PrintVTK(self.vtkStream, 1, 1)
fieldName = 'V'
#self.v_gf.SaveVTK(self.vtkStream, str(fieldName), 1)
fieldName = 'U'
#self.x_gf.SaveVTK(self.vtkStream, str(fieldName), 1)
#self.vtkStream.close()
meshToVtu(self.pmesh, sol_name, (self.v_gf, self.x_gf), ('V', 'U'))
# get solution vector
def getSolVec(self, name):
ret = []
name = name.lower()
if name == 'displacement':
sz = self.vx.GetBlock(1).Size()
ret = np.zeros(sz, np.double)
for i in range(sz):
ret[i] = self.vx.GetBlock(1)[i]
elif name == 'velocity':
sz = self.vx.GetBlock(0).Size()
ret = np.zeros(sz, np.double)
for i in range(sz):
ret[i] = self.vx.GetBlock(0)[i]
else:
raise ValueError('Requested solution is invalid.')
return (ret)