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nsolver.py
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from dolfin import *
import math
import petsc4py
class NSolver(object):
def __init__(self, params):
self.parameters = params
self.isfirstiteration = 0;
Ftotal = self.parameters["F"]
w = self.parameters["w"]
bcs = self.parameters["boundary_conditions"]
Jac = self.parameters["Jacobian"]
self.problem = NonlinearVariationalProblem(Ftotal,w,bcs=bcs,J=Jac, form_compiler_parameters={"representation":"uflacs"})
self.nsolver = NonlinearVariationalSolver(self.problem)
self.nsolver.parameters['nonlinear_solver'] = 'newton'
def default_parameters(self):
return {"rel_tol" : 1e-7,
"abs_tol" : 1e-7,
"max_iter": 40}
def solvenonlinear(self):
if("abs_tol" in self.parameters.keys()):
abs_tol = self.parameters["abs_tol"]
if("rel_tol" in self.parameters.keys()):
rel_tol = self.parameters["rel_tol"]
maxiter = self.default_parameters()["max_iter"]
mode = self.parameters["mode"]
Jac = self.parameters["Jacobian"]
Ftotal = self.parameters["F"]
w = self.parameters["w"]
bcs = self.parameters["boundary_conditions"]
solvertype = self.parameters["Type"]
mesh = self.parameters["mesh"]
comm = w.function_space().mesh().mpi_comm()
# DEBUGGING PURPOSES ############################# (Everytime at each time point, File handler will be destroyed and reconstructed - FIXME)
#Q = FunctionSpace(mesh,'CG',1)
#Quadelem = FiniteElement("Quadrature", mesh.ufl_cell(), degree=4, quad_scheme="default")
#Quadelem._quad_scheme = 'default'
#Quad = FunctionSpace(mesh, Quadelem)
#Param1 = Function(Q)
#Param1.rename("Param1", "Param1")
#Param2 = Function(Q)
#Param2.rename("Param2", "Param2")
#Param3 = Function(Q)
#Param3.rename("Param3", "Param3")
#Param4 = Function(Q)
#Param4.rename("Param4", "Param4")
#Param1Quad = Function(Quad)
#t_a = self.parameters["t_a"]
#activeforms = self.parameters["ActiveForm"]
##################################################
if(solvertype == 0):
#solve(Ftotal == 0, w, bcs, J = Jac, \
#solver_parameters={"newton_solver":{"relative_tolerance":1e-9, "absolute_tolerance":1e-9, "maximum_iterations":maxiter, "linear_solver":"umfpack"}}#,\
#form_compiler_parameters={"representation":"uflacs"}
#)
set_log_level(20)
#set_log_level(30)
#solve(Ftotal == 0, w, bcs, J = Jac,\
# form_compiler_parameters={"representation":"uflacs"}, \
# solver_parameters={"newton_solver":{"linear_solver":"mumps",\
# "relative_tolerance":1e-9, \
# "absolute_tolerance":1e-9, \
# "maximum_iterations":maxiter
# }})
#parameters["form_compiler"]["representation"] = "uflacs"
if("abs_tol" in self.parameters.keys()):
self.nsolver.parameters["newton_solver"]["absolute_tolerance"] = abs_tol
if("rel_tol" in self.parameters.keys()):
self.nsolver.parameters["newton_solver"]["relative_tolerance"] = rel_tol
self.nsolver.solve()
else:
it = 0
if(self.isfirstiteration == 0):
A, b = assemble_system(Jac, -Ftotal, bcs, \
form_compiler_parameters={"representation":"uflacs"}\
)
resid0 = b.norm("l2")
rel_res = b.norm("l2")/resid0
res = resid0
if(MPI.rank(comm) == 0 and mode > 0):
print "Iteration: %d, Residual: %.3e, Relative residual: %.3e" %(it, res, rel_res)
solve(A, w.vector(), b)
it += 1
self.isfirstiteration = 1
B = assemble(Ftotal,\
form_compiler_parameters={"representation":"uflacs"}\
)
for bc in bcs:
bc.apply(B)
rel_res = 1.0
res = B.norm("l2")
resid0 = res
if(MPI.rank(comm) == 0 and mode > 0):
print "Iteration: %d, Residual: %.3e, Relative residual: %.3e" %(it, res, rel_res)
dww = w.copy(deepcopy=True)
dww.vector()[:] = 0.0
while (rel_res > rel_tol and res > abs_tol) and it < maxiter:
it += 1
A, b = assemble_system(Jac, -Ftotal, bcs, \
form_compiler_parameters={"representation":"uflacs"}\
)
solve(A, dww.vector(), b)
w.vector().axpy(1.0, dww.vector())
# DEBUGGING PURPOSES #############################
#if(t_a.t_a >= 170 and t_a.t_a <= 172):
# print "DEBUGGING"
# Param1.vector()[:] = project(activeforms.w1(), Q).vector().array()[:]
# self.parameters["FileHandler"][0] << Param1
# print >>self.parameters["FileHandler"][4], "w1", " max = ", max(project(activeforms.w1(), Quad).vector()[:]), " min = ", min(project(activeforms.w1(), Quad).vector()[:])
# print >>self.parameters["FileHandler"][4], project(activeforms.w1(), Quad).vector().array()[:]
# print >>self.parameters["FileHandler"][4], project(activeforms.w1(), Q).vector().array()[:]
# Param2.vector()[:] = project(activeforms.w2(), Q).vector().array()[:]
# self.parameters["FileHandler"][1] << Param2
# print >>self.parameters["FileHandler"][4], "w2", " max = ", max(project(activeforms.w2(), Quad).vector()[:]), " min = ", min(project(activeforms.w2(), Quad).vector()[:])
# print >>self.parameters["FileHandler"][4], project(activeforms.w2(), Quad).vector().array()[:]
# print >>self.parameters["FileHandler"][4], project(activeforms.w2(), Q).vector().array()[:]
# Param3.vector()[:] = project(activeforms.Ct(), Q).vector().array()[:]
# self.parameters["FileHandler"][2] << Param3
# print >>self.parameters["FileHandler"][4], "Ct", " max = ", max(project(activeforms.Ct(), Quad).vector()[:]), " min = ", min(project(activeforms.Ct(), Quad).vector()[:])
# print >>self.parameters["FileHandler"][4], project(activeforms.Ct(), Quad).vector().array()[:]
# print >>self.parameters["FileHandler"][4], project(activeforms.Ct(), Q).vector().array()[:]
# Param4.vector()[:] = project(activeforms.tr(), Q).vector().array()[:]
# self.parameters["FileHandler"][3] << Param4
# print >>self.parameters["FileHandler"][4], "tr", " max = ", max(project(activeforms.tr(), Quad).vector()[:]), " min = ", min(project(activeforms.tr(), Quad).vector()[:])
# print >>self.parameters["FileHandler"][4], project(activeforms.tr(), Quad).vector().array()[:]
# print >>self.parameters["FileHandler"][4], project(activeforms.tr(), Q).vector().array()[:]
# print >>self.parameters["FileHandler"][4], "lmbda*1.85" , " max = ", max(project(activeforms.lmbda()*1.85, Quad).vector()[:]), " min = ", min(project(activeforms.lmbda()*1.85, Quad).vector()[:])
# print >>self.parameters["FileHandler"][4], project(activeforms.lmbda()*1.85, Quad).vector().array()[:]
# print >>self.parameters["FileHandler"][4], project(activeforms.lmbda()*1.85, Q).vector().array()[:]
# print >>self.parameters["FileHandler"][4], "ls_l0", " max = ", max(project(activeforms.ls_l0(), Quad).vector()[:]), " min = ", min(project(activeforms.ls_l0(), Quad).vector()[:])
# print >>self.parameters["FileHandler"][4], project(activeforms.ls_l0(), Quad).vector().array()[:]
# print >>self.parameters["FileHandler"][4], project(activeforms.ls_l0(), Q).vector().array()[:]
# print >>self.parameters["FileHandler"][4], "ECa", " max = ", max(project(activeforms.ECa(), Quad).vector()[:]), " min = ", min(project(activeforms.ECa(), Quad).vector()[:])
# print >>self.parameters["FileHandler"][4], project(activeforms.ECa(), Quad).vector().array()[:]
# print >>self.parameters["FileHandler"][4], project(activeforms.ECa(), Q).vector().array()[:]
# print >>self.parameters["FileHandler"][4], "PK1Stress", " max = ", max(project(activeforms.PK1Stress(), Quad).vector()[:]), " min = ", min(project(activeforms.PK1Stress(), Quad).vector()[:])
# print >>self.parameters["FileHandler"][4], project(activeforms.PK1Stress(), Quad).vector().array()[:]
# print >>self.parameters["FileHandler"][4], project(activeforms.PK1Stress(), Q).vector().array()[:]
###################################################
B = assemble(Ftotal, \
form_compiler_parameters={"representation":"uflacs"}\
)
for bc in bcs:
bc.apply(B)
rel_res = B.norm("l2")/resid0
res = B.norm("l2")
if(MPI.rank(comm) == 0 and mode > 0):
print "Iteration: %d, Residual: %.3e, Relative residual: %.3e" %(it, res, rel_res)
if((rel_res > rel_tol and res > abs_tol) or math.isnan(res)):
#self.parameters["FileHandler"][4].close()
raise RuntimeError("Failed Convergence")