def __init__(self,problem,params = fsinewton_params):
timings.startnext("Fsi Newton Solver init")
info_blue("Initializing FSI Newton Solver")
info("Using params \n" + str(params) )
#Initialize base class
ccom.CBCSolver.__init__(self)
self.problem = problem
self.params = params
#Define the various helper objects of the fsinewton solver
self.spaces = FSISpaces(problem,params)
self.fsibc = FSIBC(problem,self.spaces)
#Define mixed Functions
self.U0 = self.__initial_state()
self.U1 = Function(self.spaces.fsispace)
#Define Subfunction references to the mixed functions
(self.U1_F,self.P1_F,self.L1_U,self.D1_S,self.U1_S,self.D1_F,self.L1_D) = self.U1.split()
(self.U0_F,self.P0_F,self.L0_U,self.D0_S,self.U0_S,self.D0_F,self.L0_D) = self.U0.split()
#Define list tensor references to the mixed funtions
self.U1list = self.spaces.unpack_function(self.U1)
self.U0list = self.spaces.unpack_function(self.U0)
#Define Mixed Trial and Test Functions
self.IU = TrialFunctions(self.spaces.fsispace)
self.V = TestFunctions(self.spaces.fsispace)
#Define time relevant variables
self.dt = self.problem.initial_step()
self.kn = Constant(self.dt)
self.t = 0.0
#Define Time Descretized Functions
self.Umid,self.Udot = self.time_discreteU(self.U1list,self.U0list,self.kn)
self.IUmid,self.IUdot = self.time_discreteI(self.IU,self.kn)
#Initialize any Body forces if present
self.__init_forces()
#Define Forms and buffered part of the jacobian matrix.
self.r,self.j,self.j_buff = self.create_forms()
self.runtimedata = FsiRunTimeData(self)
timings.stop("Fsi Newton Solver init")
class FSINewtonSolver(ccom.CBCSolver):
"""A Monolithic Newton Solver for FSI problems"""
def __init__(self,problem,params = fsinewton_params):
timings.startnext("Fsi Newton Solver init")
info_blue("Initializing FSI Newton Solver")
info("Using params \n" + str(params) )
#Initialize base class
ccom.CBCSolver.__init__(self)
self.problem = problem
self.params = params
#Define the various helper objects of the fsinewton solver
self.spaces = FSISpaces(problem,params)
self.fsibc = FSIBC(problem,self.spaces)
#Define mixed Functions
self.U0 = self.__initial_state()
self.U1 = Function(self.spaces.fsispace)
#Define Subfunction references to the mixed functions
(self.U1_F,self.P1_F,self.L1_U,self.D1_S,self.U1_S,self.D1_F,self.L1_D) = self.U1.split()
(self.U0_F,self.P0_F,self.L0_U,self.D0_S,self.U0_S,self.D0_F,self.L0_D) = self.U0.split()
#Define list tensor references to the mixed funtions
self.U1list = self.spaces.unpack_function(self.U1)
self.U0list = self.spaces.unpack_function(self.U0)
#Define Mixed Trial and Test Functions
self.IU = TrialFunctions(self.spaces.fsispace)
self.V = TestFunctions(self.spaces.fsispace)
#Define time relevant variables
self.dt = self.problem.initial_step()
self.kn = Constant(self.dt)
self.t = 0.0
#Define Time Descretized Functions
self.Umid,self.Udot = self.time_discreteU(self.U1list,self.U0list,self.kn)
self.IUmid,self.IUdot = self.time_discreteI(self.IU,self.kn)
#Initialize any Body forces if present
self.__init_forces()
#Define Forms and buffered part of the jacobian matrix.
self.r,self.j,self.j_buff = self.create_forms()
self.runtimedata = FsiRunTimeData(self)
timings.stop("Fsi Newton Solver init")
def prepare_solve(self):
"""Setup helper objects for a solve"""
#Init the plotter if necessary
if self.params["plot"]:
self.plotter = FSIPlotter(self.U1)
#Init Storage
if self.params["store"] != False:
self.storage = FSIStorer(self.params["store"])
#Define nonlinear problem for newton solver.
self.nonlinearproblem = \
MyNonlinearProblem(self.r, self.U1, self.fsibc.bcallI,
self.j,J_buff = self.j_buff,
cell_domains = self.problem.meshfunctions["cell"],
interior_facet_domains = self.problem.meshfunctions["interiorfacet"],
exterior_facet_domains= self.problem.meshfunctions["exteriorfacet"],
spaces = self.spaces)
#Create a Newton Solver object
self.newtonsolver = MyNewtonSolver(self.nonlinearproblem,
itrmax = self.params["newtonitrmax"],
reuse_jacobian = self.params["optimization"]["reuse_jacobian"],
max_reuse_jacobian = self.params["optimization"]["max_reuse_jacobian"],
runtimedata = self.params["runtimedata"]["newtonsolver"],
tol = self.params["newtonsoltol"],
reduce_quadrature = self.params["optimization"]["reduce_quadrature"] )
info_blue("Newton Solver Tolerance is %s"%self.newtonsolver.tol)
self.prebuild_jacobians()
def solve(self):
"""Solve the FSI problem over time"""
self.prepare_solve()
#Time Loop
info(" ".join(["\n Solving FSI problem",self.problem.__str__() ,"with Newton's method \n"]))
if self.params["solve"] != False:
#Store the initial value if necessary
if self.params["store"] != False:
self.storage.store_solution(self.U0,self.t)
while self.t < self.problem.end_time() - DOLFIN_EPS:
ret = self.time_step()
if self.params["store"] != False:
self.storage.store_solution(self.U1,self.t)
self.post_processing()
def prebuild_jacobians(self):
"""Buffer or assemble jacobians if neccessary"""
#Build the buffered jacobian if necessary
if self.params["jacobian"] == "buff":
self.nonlinearproblem.J_buff = self.assemble_J_buff()
#Prebuild step jacobian if necessary
if self.params["optimization"]["reuse_jacobian"] == True:
self.newtonsolver.build_jacobian()
def assemble_J_buff(self):
"""Assembles the buffered jacobian"""
info("Assembling Buffered Jacobian")
timings.startnext("Buffered Jacobian assembly")
J_buff = assemble(self.j_buff,
cell_domains = self.problem.cellfunc,
interior_facet_domains = self.problem.fsiboundfunc,
exterior_facet_domains = self.problem.extboundfunc)
timings.stop("Buffered Jacobian assembly")
return J_buff
def time_step(self):
"""Newton solve for the values of the FSI system at the next time level"""
#update the body forces
self.__update_forces(self.t)
#Update the time
self.t += self.dt
info("\n t = %f"%self.t)
#Initial guess is previous time step value
self.U1.vector()[:] = self.U0.vector()
#Apply initial guess BC (not homogeneous)
for bc in self.fsibc.bcallU1_ini:
bc.apply(self.U1.vector())
try:
#Call newton solve and store the last iteration for testing
self.last_itr = self.newtonsolver.solve(t = self.t)
info("Newton Solver Converged in %i iterations"%(len(self.last_itr)))
#store fsisolver runtimedata
if self.params["runtimedata"]["fsisolver"] != False:
#Save the number of iterations and lagrange multiplier
#precision for later ploting
self.runtimedata.times.append(self.t)
self.runtimedata.newtonitr.append(len(self.last_itr))
self.runtimedata.store_fluid_lm(self.U1_F,self.U1_S,self.spaces.fsimeshcoord)
self.runtimedata.store_mesh_lm(self.D1_F,self.D1_S,self.spaces.fsimeshcoord)
#store newtonsolverruntimedata
if self.params["runtimedata"]["newtonsolver"]:
self.runtimedata.newtonsolverdata.append(self.newtonsolver.runtimedata)
#Assign the new time step value to U0
self.U0.vector()[:] = self.U1.vector()
#Plot if necessary
if self.params["plot"]:
self.plotter.plot()
except NewtonConverganceError as NCE:
#Print some analysis of why convergence failed
NCE.report()
raise
except NanError as NE:
#Print analysis of why the Nan happened
ne.zTOL = 1.0e-5
print NE.mess
NE.analysis()
raise
def __init_forces(self):
"""Create a list of all present forces"""
self.G_S = self.problem.structure_boundary_traction_extra()
self.F_F = self.problem.fluid_body_force()
self.F_S = self.problem.structure_body_force()
self.F_M = self.problem.mesh_right_hand_side()
self.G_F = self.problem.fluid_velocity_neumann_values()
self.G_F_FSI = self.problem.fluid_fsi_stress()
self.forces = [f for f in [self.G_S,self.F_F,self.F_S,self.F_M, self.G_F,self.G_F_FSI]\
if f is not None and f != []]
def __update_forces(self,t):
for f in self.forces:
f.t = t + self.dt
#Update functions connected to the problem if possible.
try:
self.problem.update(t, t + self.dt , self.dt)
except:
raise Exception("Update of functions failed")
def create_forms(self):
"""Generate FSI residual and jacobian"""
#Material Paramter Dictionary
matparams = {"mu_F": self.problem.fluid_viscosity(),
"rho_F": self.problem.fluid_density(),
"mu_S": self.problem.structure_mu(),
"lmbda_S": self.problem.structure_lmbda(),
"rho_S": self.problem.structure_density(),
"mu_M": self.problem.mesh_mu(),
"lmbda_M": self.problem.mesh_lmbda() }
info("Using material parameters\n" + str(matparams))
#Turn the numbers into dolfin constants
for k in matparams:
matparams[k] = Constant(matparams[k])
#Normals Dictionary
normals = {"N_F":FacetNormal(self.problem.fluidmesh), \
"N_S":FacetNormal(self.problem.strucmesh)}
#Measures dictionary
measures = self.problem.measures
#Forces dictionary
forces = {"F_F":self.F_F,
"F_S":self.F_S,
"F_M":self.F_M,
"G_S":self.G_S,
"G_F":self.G_F,
"G_F_FSI":self.G_F_FSI}
#Define full FSI residual and store block residuals for testing
r,self.blockresiduals = rf.fsi_residual(self.U1list,self.Umid,self.Udot,
self.V,matparams,measures,forces,
normals,self.params)
#Calculcate Jacobian forms
if self.params["jacobian"] == "auto":
info("Using Automatic Jacobian")
j_buff = None
j = derivative(r,self.U1)
else:
#Not Automatic so manual calculation
j,j_buff = jfor.fsi_jacobian(self.IU,self.IUdot,self.IUmid,self.U1list,
self.Umid,self.Udot,self.V,self.V,
matparams,measures,forces,normals,self.params)
if self.params["jacobian"] == "buff":
info("Using Buffered Jacobian")
elif self.params["jacobian"] == "manual":
info("Using Manual Jacobian")
j += j_buff
j_buff = None
else:
raise Exception("only auto, buff, and manual are possible jacobian parameters")
return r,j,j_buff
def assemble_J_buff(self):
"""Assembles the buffered jacobian"""
info("Assembling Buffered Jacobian")
timings.startnext("Buffered Jacobian assembly")
J_buff = assemble(self.j_buff,
cell_domains = self.problem.meshfunctions["cell"],
interior_facet_domains = self.problem.meshfunctions["interiorfacet"],
exterior_facet_domains = self.problem.meshfunctions["exteriorfacet"] )
timings.stop("Buffered Jacobian assembly")
return J_buff
def __initial_state(self):
"Get the initial state of the fsi system by inserting values from subspace functions"
info_blue("Creating initial conditions")
#Generate a zerovector with same dim as mesh
d = self.problem.singlemesh.topology().dim()
zerovec = ["0.0" for i in range(d)]
#Take the initial data in a dictionary in whatever form it may be
ini_data = {"U_F":self.problem.fluid_velocity_initial_condition,\
"P_F":self.problem.fluid_pressure_initial_condition,\
"D_S":self.problem.struc_displacement_initial_condition,\
"U_S":self.problem.struc_velocity_initial_condition,\
"D_F":self.problem.mesh_displacement_initial_condition}
spaces = self.spaces.subloc.spaces
#Try to get all initial data as a dolfin function.
for funcname in ini_data.keys():
success = "Initial data created for " + funcname
fail = "Warning, could not create initial condition for "+funcname+ " default value is 0"
try:
ini_data[funcname] = ini_data[funcname]()
#Try the CBCSolver initial function method
ini_data[funcname] = self.create_initial_condition(ini_data[funcname],spaces[funcname])
#Try to strings into expressions and interpolate them
if isinstance(ini_data[funcname], basestring):
ini_data[funcname] = interpolate(Expression(ini_data[funcname]),spaces[funcname])
info(success)
#If a list or tuple
elif type(ini_data[funcname]) == type([]) or type(ini_data[funcname]) == type(()):
#First assume there are strings in the tuple already
try:
ini_data[funcname] = interpolate(Expression(ini_data[funcname]),spaces[funcname])
info(success)
except:
#If this doesn't work interpolate as constant
ini_data[funcname] = interpolate(Constant(ini_data[funcname]),spaces[funcname])
info(success)
#If already an expression interpolate it.
elif isinstance(ini_data[funcname],Expression):
ini_data[funcname] = interpolate(ini_data[funcname],spaces[funcname])
info(success)
#If a function try to project it.
elif isinstance(ini_data[funcname],Function):
ini_data[funcname] = project(ini_data[funcname],spaces[funcname])
elif ini_data[funcname] is not None:
warning(fail)
except:
warning(fail)
ini_data[funcname] = None
U0 = Function(self.spaces.fsispace)
#insert the data into U0
for funcname in ini_data.keys():
if ini_data[funcname] is not None:
print funcname
U0.vector()[self.spaces.subloc.spacebegins[funcname]: \
self.spaces.subloc.spaceends[funcname]] = \
ini_data[funcname].vector()[:]
fsi_dofs = self.spaces.fsidofs["fsispace"]
cellfunc = self.problem.meshfunctions["cell"]
strucdomains = self.problem.domainnums["structure"]
fluiddomains = self.problem.domainnums["fluid"]
#Zero out fluid variables outside of their domain.
mf.assign_to_region(U0,zerovec,cellfunc,strucdomains,V = self.spaces.V_F,exclude = fsi_dofs)
mf.assign_to_region(U0,"0.0",cellfunc,strucdomains,V = self.spaces.Q_F,exclude = fsi_dofs)
mf.assign_to_region(U0,zerovec,cellfunc,strucdomains,V = self.spaces.C_F,exclude = fsi_dofs)
#Zero out structure variables outside of their domain
mf.assign_to_region(U0,zerovec,cellfunc,fluiddomains,V = self.spaces.C_S,exclude = fsi_dofs)
mf.assign_to_region(U0,zerovec,cellfunc,fluiddomains,V = self.spaces.V_S,exclude = fsi_dofs)
return U0
def time_discreteU(self,U1,U0,kn):
Umid = tuple([(x+y)*0.5 for x,y in zip(U1,U0)])
Udot = tuple([(x-y)*(1/kn) for x,y in zip(U1,U0)])
return Umid,Udot
def time_discreteI(self,IU,kn):
IUmid = tuple([x*0.5 for x in IU])
IUdot = tuple([x/kn for x in IU])
return IUmid,IUdot
def post_processing(self):
#Write a report of the timings
info(timings.report_str())
if self.params["runtimedata"]["fsisolver"] != "False":
if self.params["bigblue"] == False:
#Create plots with matplotlibs
self.runtimedata.plot_newtonitr(self.params["runtimedata"]["fsisolver"])
self.runtimedata.plot_lm(self.params["runtimedata"]["fsisolver"])
info("Total number of newton iterations is %i"%sum(self.runtimedata.newtonitr))
elif self.params["bigblue"] == True:
#cPickle data for later plotting
self.runtimedata.pickle(self.params["runtimedata"]["fsisolver"])
if self.params["runtimedata"]["newtonsolver"] != "False":
if self.params["bigblue"] == False: mode = "plot"
else:mode = "store"
self.runtimedata.store_newtonsolverdata(path = self.params["runtimedata"]["newtonsolver"],
mode = mode)