def LidDriven(numberOfElements, cavityDimensions, lidVelocity, viscosity,
density, outputFilename, transient, RBS, fdJacobian, analytic,
basisList):
""" Sets up the lid driven cavity problem and solves with the provided parameter values
Square Lid-Driven Cavity
v=1
>>>>>>>>>>
1| |
| |
v=0 | | v=0
| |
| |
------------
0 v=0 1
"""
# Create a generated mesh
generatedMesh = iron.GeneratedMesh()
generatedMesh.CreateStart(generatedMeshUserNumber, region)
generatedMesh.type = iron.GeneratedMeshTypes.REGULAR
generatedMesh.basis = basisList
generatedMesh.extent = cavityDimensions
generatedMesh.numberOfElements = numberOfElements
mesh = iron.Mesh()
generatedMesh.CreateFinish(meshUserNumber, mesh)
# Create a decomposition for the mesh
decomposition = iron.Decomposition()
decomposition.CreateStart(decompositionUserNumber, mesh)
decomposition.type = iron.DecompositionTypes.CALCULATED
decomposition.numberOfDomains = numberOfComputationalNodes
decomposition.CreateFinish()
# Create a field for the geometry
geometricField = iron.Field()
geometricField.CreateStart(geometricFieldUserNumber, region)
geometricField.meshDecomposition = decomposition
geometricField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 1, 1)
geometricField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 2, 1)
geometricField.CreateFinish()
# Set geometry from the generated mesh
generatedMesh.GeometricParametersCalculate(geometricField)
# Create standard Navier-Stokes equations set
equationsSetField = iron.Field()
equationsSet = iron.EquationsSet()
if RBS:
equationsSetSpecification = [
iron.EquationsSetClasses.FLUID_MECHANICS,
iron.EquationsSetTypes.NAVIER_STOKES_EQUATION,
iron.EquationsSetSubtypes.TRANSIENT_RBS_NAVIER_STOKES
]
else:
equationsSetSpecification = [
iron.EquationsSetClasses.FLUID_MECHANICS,
iron.EquationsSetTypes.NAVIER_STOKES_EQUATION,
iron.EquationsSetSubtypes.TRANSIENT_NAVIER_STOKES
]
equationsSet.CreateStart(equationsSetUserNumber, region, geometricField,
equationsSetSpecification,
equationsSetFieldUserNumber, equationsSetField)
equationsSet.CreateFinish()
if RBS:
# Set max CFL number (default 1.0)
equationsSetField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U1, iron.FieldParameterSetTypes.VALUES, 2,
1.0E20)
# Set time increment (default 0.0)
equationsSetField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U1, iron.FieldParameterSetTypes.VALUES, 3,
transient[2])
# Set stabilisation type (default 1.0 = RBS)
equationsSetField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U1, iron.FieldParameterSetTypes.VALUES, 4,
1.0)
# Create dependent field
dependentField = iron.Field()
equationsSet.DependentCreateStart(dependentFieldUserNumber, dependentField)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 1, 1)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 2, 1)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 3, 2)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.DELUDELN,
1, 1)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.DELUDELN,
2, 1)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.DELUDELN,
3, 2)
dependentField.DOFOrderTypeSet(iron.FieldVariableTypes.U,
iron.FieldDOFOrderTypes.SEPARATED)
dependentField.DOFOrderTypeSet(iron.FieldVariableTypes.DELUDELN,
iron.FieldDOFOrderTypes.SEPARATED)
equationsSet.DependentCreateFinish()
# Initialise dependent field
dependentField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 1, 0.0)
# Create materials field
materialsField = iron.Field()
equationsSet.MaterialsCreateStart(materialsFieldUserNumber, materialsField)
equationsSet.MaterialsCreateFinish()
# Initialise materials field parameters
materialsField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 1,
viscosity)
materialsField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 2,
density)
# If specified, use a sinusoidal waveform to ramp up lid velocity from 0 to 1
if analytic:
# yOffset + amplitude*sin(frequency*time + phaseShift))))
# Set the time it takes to ramp velocity up to full lid velocity
rampPeriod = 10.0
frequency = math.pi / (rampPeriod)
amplitude = 0.5 * lidVelocity[0]
yOffset = 0.5 * lidVelocity[0]
phaseShift = -math.pi / 2.0
startSine = 0.0
stopSine = rampPeriod
analyticField = iron.Field()
equationsSet.AnalyticCreateStart(
iron.NavierStokesAnalyticFunctionTypes.SINUSOID,
analyticFieldUserNumber, analyticField)
equationsSet.AnalyticCreateFinish()
analyticParameters = [
1.0, 0.0, 0.0, 0.0, amplitude, yOffset, frequency, phaseShift,
startSine, stopSine
]
# Create equations
equations = iron.Equations()
equationsSet.EquationsCreateStart(equations)
equations.sparsityType = iron.EquationsSparsityTypes.SPARSE
equations.outputType = iron.EquationsOutputTypes.NONE
equationsSet.EquationsCreateFinish()
# Create Navier-Stokes problem
problem = iron.Problem()
if RBS:
problemSpecification = [
iron.ProblemClasses.FLUID_MECHANICS,
iron.ProblemTypes.NAVIER_STOKES_EQUATION,
iron.ProblemSubtypes.TRANSIENT_RBS_NAVIER_STOKES
]
else:
problemSpecification = [
iron.ProblemClasses.FLUID_MECHANICS,
iron.ProblemTypes.NAVIER_STOKES_EQUATION,
iron.ProblemSubtypes.TRANSIENT_NAVIER_STOKES
]
problem.CreateStart(problemUserNumber, problemSpecification)
problem.CreateFinish()
# Create control loops
problem.ControlLoopCreateStart()
controlLoop = iron.ControlLoop()
problem.ControlLoopGet([iron.ControlLoopIdentifiers.NODE], controlLoop)
controlLoop.TimesSet(transient[0], transient[1], transient[2])
controlLoop.TimeOutputSet(transient[3])
problem.ControlLoopCreateFinish()
# Create problem solver
dynamicSolver = iron.Solver()
problem.SolversCreateStart()
problem.SolverGet([iron.ControlLoopIdentifiers.NODE], 1, dynamicSolver)
dynamicSolver.outputType = iron.SolverOutputTypes.NONE
dynamicSolver.dynamicTheta = [0.5]
nonlinearSolver = iron.Solver()
dynamicSolver.DynamicNonlinearSolverGet(nonlinearSolver)
if fdJacobian:
nonlinearSolver.newtonJacobianCalculationType = iron.JacobianCalculationTypes.FD
else:
nonlinearSolver.newtonJacobianCalculationType = iron.JacobianCalculationTypes.EQUATIONS
nonlinearSolver.outputType = iron.SolverOutputTypes.NONE
nonlinearSolver.newtonAbsoluteTolerance = 1.0E-8
nonlinearSolver.newtonRelativeTolerance = 1.0E-9
nonlinearSolver.newtonSolutionTolerance = 1.0E-9
nonlinearSolver.newtonMaximumFunctionEvaluations = 10000
nonlinearSolver.newtonLineSearchType = iron.NewtonLineSearchTypes.QUADRATIC
linearSolver = iron.Solver()
nonlinearSolver.NewtonLinearSolverGet(linearSolver)
linearSolver.outputType = iron.SolverOutputTypes.NONE
linearSolver.linearType = iron.LinearSolverTypes.DIRECT
linearSolver.libraryType = iron.SolverLibraries.MUMPS
problem.SolversCreateFinish()
# Create solver equations and add equations set to solver equations
solver = iron.Solver()
solverEquations = iron.SolverEquations()
problem.SolverEquationsCreateStart()
problem.SolverGet([iron.ControlLoopIdentifiers.NODE], 1, solver)
solver.SolverEquationsGet(solverEquations)
solverEquations.sparsityType = iron.SolverEquationsSparsityTypes.SPARSE
equationsSetIndex = solverEquations.EquationsSetAdd(equationsSet)
problem.SolverEquationsCreateFinish()
# Create boundary conditions
boundaryConditions = iron.BoundaryConditions()
solverEquations.BoundaryConditionsCreateStart(boundaryConditions)
nodes = iron.Nodes()
region.NodesGet(nodes)
print("Total # of nodes: " + str(nodes.numberOfNodes))
print("Analytic Parameters: " + str(analyticParameters))
boundaryTolerance = 1.0e-6
# Currently issues with getting generated mesh surfaces through python so easier to just loop over all nodes
for node in range(nodes.numberOfNodes):
nodeId = node + 1
nodeNumber = nodes.UserNumberGet(nodeId)
# print('node number: '+ str(nodeNumber))
# Velocity nodes
nodeDomain = decomposition.NodeDomainGet(nodeNumber, 1)
if (nodeDomain == computationalNodeNumber):
xLocation = geometricField.ParameterSetGetNodeDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES,
1, 1, nodeNumber, 1)
yLocation = geometricField.ParameterSetGetNodeDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES,
1, 1, nodeNumber, 2)
# rigid wall (left,right,bottom) conditions: v=0
if (xLocation < boundaryTolerance
or cavityDimensions[0] - xLocation < boundaryTolerance
or yLocation < boundaryTolerance):
boundaryConditions.SetNode(dependentField,
iron.FieldVariableTypes.U, 1, 1,
nodeNumber, 1,
iron.BoundaryConditionsTypes.FIXED,
0.0)
boundaryConditions.SetNode(dependentField,
iron.FieldVariableTypes.U, 1, 1,
nodeNumber, 2,
iron.BoundaryConditionsTypes.FIXED,
0.0)
# lid (top) conditions: v=v
elif (cavityDimensions[1] - yLocation < boundaryTolerance):
if not (xLocation < boundaryTolerance or
cavityDimensions[0] - xLocation < boundaryTolerance):
if analytic:
boundaryConditions.SetNode(
dependentField, iron.FieldVariableTypes.U, 1, 1,
nodeNumber, 1,
iron.BoundaryConditionsTypes.FIXED_INLET, 0.0)
boundaryConditions.SetNode(
dependentField, iron.FieldVariableTypes.U, 1, 1,
nodeNumber, 2,
iron.BoundaryConditionsTypes.FIXED_INLET, 0.0)
# Set analytic parameters
parameterNumber = 0
for parameter in analyticParameters:
parameterNumber += 1
analyticField.ParameterSetUpdateNodeDP(
iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 1, 1,
nodeNumber, parameterNumber, parameter)
else:
boundaryConditions.SetNode(
dependentField, iron.FieldVariableTypes.U, 1, 1,
nodeNumber, 1, iron.BoundaryConditionsTypes.FIXED,
lidVelocity[0])
boundaryConditions.SetNode(
dependentField, iron.FieldVariableTypes.U, 1, 1,
nodeNumber, 2, iron.BoundaryConditionsTypes.FIXED,
lidVelocity[1])
# Pressure node
nodeNumber = 1
nodeDomain = decomposition.NodeDomainGet(nodeNumber, 2)
if (nodeDomain == computationalNodeNumber):
# bottom left node - reference pressure: p=0
boundaryConditions.SetNode(dependentField, iron.FieldVariableTypes.U,
1, 1, nodeNumber, 3,
iron.BoundaryConditionsTypes.FIXED, 0.0)
print('pressure node: ' + str(nodeNumber))
solverEquations.BoundaryConditionsCreateFinish()
# Solve the problem
print("solving...")
problem.Solve()
print("exporting CMGUI data")
# Export results
fields = iron.Fields()
fields.CreateRegion(region)
fields.NodesExport(outputFilename, "FORTRAN")
fields.ElementsExport(outputFilename, "FORTRAN")
fields.Finalise()
# Clear fields so can run in batch mode on this region
generatedMesh.Destroy()
nodes.Destroy()
mesh.Destroy()
geometricField.Destroy()
if RBS:
equationsSetField.Destroy()
if analytic:
analyticField.Destroy()
dependentField.Destroy()
materialsField.Destroy()
equationsSet.Destroy()
problem.Destroy()
CellMLIntermediateField = iron.Field()
CellML.IntermediateFieldCreateStart(CellMLIntermediateFieldUserNumber,
CellMLIntermediateField)
CellML.IntermediateFieldCreateFinish()
#DOC-END define CellML parameters and intermediate fields
# Create equations
equations = iron.Equations()
equationsSet.EquationsCreateStart(equations)
equations.sparsityType = iron.EquationsSparsityTypes.SPARSE
equations.outputType = iron.EquationsOutputTypes.NONE
equationsSet.EquationsCreateFinish()
#DOC-START define CellML finite elasticity problem
#Define the problem
problem = iron.Problem()
problemSpecification = [
iron.ProblemClasses.ELASTICITY, iron.ProblemTypes.FINITE_ELASTICITY,
iron.ProblemSubtypes.FINITE_ELASTICITY_CELLML
]
problem.CreateStart(problemUserNumber, problemSpecification)
problem.CreateFinish()
#DOC-END define CellML finite elasticity problem
#Create the problem control loop
problem.ControlLoopCreateStart()
ControlLoop = iron.ControlLoop()
problem.ControlLoopGet([iron.ControlLoopIdentifiers.NODE], ControlLoop)
ControlLoop.TypeSet(iron.ProblemControlLoopTypes.SIMPLE)
problem.ControlLoopCreateFinish()
def solveProblem(transient, viscosity, density, offset, amplitude, period):
""" Sets up the problem and solve with the provided parameter values
Oscillatory flow through a rigid cylinder
u=0
------------------------------------------- R = 0.5
>
->
p = offset + A*sin(2*pi*(t/period)) --> u(r,t) p = 0
->
>
------------------------------------------- L = 10
u=0
"""
startTime = time.time()
angularFrequency = 2.0 * math.pi / period
womersley = radius * math.sqrt(angularFrequency * density / viscosity)
if computationalNodeNumber == 0:
print("-----------------------------------------------")
print("Setting up problem for Womersley number: " + str(womersley))
print("-----------------------------------------------")
# Create standard Navier-Stokes equations set
equationsSetField = iron.Field()
equationsSet = iron.EquationsSet()
equationsSetSpecification = [
iron.EquationsSetClasses.FLUID_MECHANICS,
iron.EquationsSetTypes.NAVIER_STOKES_EQUATION,
iron.EquationsSetSubtypes.TRANSIENT_SUPG_NAVIER_STOKES
]
equationsSet.CreateStart(equationsSetUserNumber, region, geometricField,
equationsSetSpecification,
equationsSetFieldUserNumber, equationsSetField)
equationsSet.CreateFinish()
# Set boundary retrograde flow stabilisation scaling factor (default 0.2)
equationsSetField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.V, iron.FieldParameterSetTypes.VALUES, 1, 0.2)
# Create dependent field
dependentField = iron.Field()
equationsSet.DependentCreateStart(dependentFieldUserNumber, dependentField)
# velocity
for component in range(1, 4):
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.U,
component,
meshComponentQuadratic)
dependentField.ComponentMeshComponentSet(
iron.FieldVariableTypes.DELUDELN, component,
meshComponentQuadratic)
# pressure
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 4,
meshComponentLinear)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.DELUDELN,
4, meshComponentLinear)
dependentField.DOFOrderTypeSet(iron.FieldVariableTypes.U,
iron.FieldDOFOrderTypes.SEPARATED)
dependentField.DOFOrderTypeSet(iron.FieldVariableTypes.DELUDELN,
iron.FieldDOFOrderTypes.SEPARATED)
equationsSet.DependentCreateFinish()
# Initialise dependent field to 0
for component in range(1, 5):
dependentField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES,
component, 0.0)
dependentField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.DELUDELN,
iron.FieldParameterSetTypes.VALUES, component, 0.0)
# Initialise dependent field to analytic values
initialiseAnalytic = True
if initialiseAnalytic:
for node in range(1, numberOfNodes + 1):
sumPositionSq = 0.
nodeNumber = nodes.UserNumberGet(node)
nodeDomain = decomposition.NodeDomainGet(nodeNumber,
meshComponentQuadratic)
if (nodeDomain == computationalNodeNumber):
for component in range(1, 4):
if component != axialComponent + 1:
value = geometricField.ParameterSetGetNodeDP(
iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 1,
iron.GlobalDerivativeConstants.NO_GLOBAL_DERIV,
nodeNumber, component)
sumPositionSq += value**2
radialNodePosition = math.sqrt(sumPositionSq)
for component in range(1, 4):
if component == axialComponent + 1:
value = womersleyAnalytic.womersleyAxialVelocity(
transient[0], offset, amplitude, radius,
radialNodePosition, period, viscosity, womersley,
length)
else:
value = 0.0
dependentField.ParameterSetUpdateNodeDP(
iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 1, 1, nodeNumber,
component, value)
# Create materials field
materialsField = iron.Field()
equationsSet.MaterialsCreateStart(materialsFieldUserNumber, materialsField)
equationsSet.MaterialsCreateFinish()
# Initialise materials field parameters
materialsField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 1,
viscosity)
materialsField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 2,
density)
# Create analytic field (allows for time-dependent calculation of sinusoidal pressure waveform during solve)
analytic = True
if analytic:
analyticField = iron.Field()
equationsSet.AnalyticCreateStart(
iron.NavierStokesAnalyticFunctionTypes.FlowrateSinusoid,
analyticFieldUserNumber, analyticField)
equationsSet.AnalyticCreateFinish()
# Initialise analytic field parameters: (1-4) Dependent params, 5 amplitude, 6 offset, 7 period
analyticField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 1,
0.0)
analyticField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 2,
0.0)
analyticField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 3,
0.0)
analyticField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 4,
1.0)
analyticField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 5,
amplitude)
analyticField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 6,
offset)
analyticField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 7,
period)
# Create equations
equations = iron.Equations()
equationsSet.EquationsCreateStart(equations)
equations.sparsityType = iron.EquationsSparsityTypes.SPARSE
equations.outputType = iron.EquationsOutputTypes.NONE
equationsSet.EquationsCreateFinish()
# Create Navier-Stokes problem
problem = iron.Problem()
problemSpecification = [
iron.ProblemClasses.FLUID_MECHANICS,
iron.ProblemTypes.NAVIER_STOKES_EQUATION,
iron.ProblemSubTypes.TRANSIENT_SUPG_NAVIER_STOKES
]
problem.CreateStart(problemUserNumber, problemSpecification)
problem.CreateFinish()
# Create control loops
problem.ControlLoopCreateStart()
controlLoop = iron.ControlLoop()
problem.ControlLoopGet([iron.ControlLoopIdentifiers.NODE], controlLoop)
controlLoop.TimesSet(transient[0], transient[1], transient[2])
controlLoop.TimeOutputSet(transient[3])
problem.ControlLoopCreateFinish()
# Create problem solver
dynamicSolver = iron.Solver()
problem.SolversCreateStart()
problem.SolverGet([iron.ControlLoopIdentifiers.NODE], 1, dynamicSolver)
dynamicSolver.outputType = iron.SolverOutputTypes.NONE
dynamicSolver.dynamicTheta = [1.0]
nonlinearSolver = iron.Solver()
dynamicSolver.DynamicNonlinearSolverGet(nonlinearSolver)
nonlinearSolver.newtonJacobianCalculationType = iron.JacobianCalculationTypes.EQUATIONS
nonlinearSolver.outputType = iron.SolverOutputTypes.PROGRESS
nonlinearSolver.newtonAbsoluteTolerance = 1.0E-7
nonlinearSolver.newtonRelativeTolerance = 1.0E-7
nonlinearSolver.newtonSolutionTolerance = 1.0E-7
nonlinearSolver.newtonMaximumFunctionEvaluations = 10000
linearSolver = iron.Solver()
nonlinearSolver.NewtonLinearSolverGet(linearSolver)
linearSolver.outputType = iron.SolverOutputTypes.NONE
linearSolver.linearType = iron.LinearSolverTypes.DIRECT
linearSolver.libraryType = iron.SolverLibraries.MUMPS
problem.SolversCreateFinish()
# Create solver equations and add equations set to solver equations
solver = iron.Solver()
solverEquations = iron.SolverEquations()
problem.SolverEquationsCreateStart()
problem.SolverGet([iron.ControlLoopIdentifiers.NODE], 1, solver)
solver.SolverEquationsGet(solverEquations)
solverEquations.sparsityType = iron.SolverEquationsSparsityTypes.SPARSE
equationsSetIndex = solverEquations.EquationsSetAdd(equationsSet)
problem.SolverEquationsCreateFinish()
# Create boundary conditions
boundaryConditions = iron.BoundaryConditions()
solverEquations.BoundaryConditionsCreateStart(boundaryConditions)
# Wall boundary nodes u = 0 (no-slip)
value = 0.0
for nodeNumber in wallNodes:
nodeDomain = decomposition.NodeDomainGet(nodeNumber,
meshComponentQuadratic)
if (nodeDomain == computationalNodeNumber):
for component in range(numberOfDimensions):
componentId = component + 1
boundaryConditions.SetNode(
dependentField, iron.FieldVariableTypes.U, 1,
iron.GlobalDerivativeConstants.NO_GLOBAL_DERIV, nodeNumber,
componentId, iron.BoundaryConditionsTypes.FIXED, value)
# Note: inlet/outlet nodes are pressure-based so only defined on linear nodes
# outlet boundary nodes p = 0
value = 0.0
for nodeNumber in outletNodes:
nodeDomain = decomposition.NodeDomainGet(nodeNumber,
meshComponentLinear)
if (nodeDomain == computationalNodeNumber):
boundaryConditions.SetNode(
dependentField, iron.FieldVariableTypes.U, 1,
iron.GlobalDerivativeConstants.NO_GLOBAL_DERIV, nodeNumber, 4,
iron.BoundaryConditionsTypes.FIXED_OUTLET, value)
# inlet boundary nodes p = f(t) - will be updated in pre-solve
value = 0.0
for nodeNumber in inletNodes:
nodeDomain = decomposition.NodeDomainGet(nodeNumber,
meshComponentQuadratic)
if (nodeDomain == computationalNodeNumber):
boundaryConditions.SetNode(
dependentField, iron.FieldVariableTypes.U, 1,
iron.GlobalDerivativeConstants.NO_GLOBAL_DERIV, nodeNumber, 4,
iron.BoundaryConditionsTypes.FIXED_INLET, value)
solverEquations.BoundaryConditionsCreateFinish()
# Solve the problem
print("solving problem...")
problem.Solve()
print("Finished. Time to solve (seconds): " + str(time.time() - startTime))
# Clear fields so can run in batch mode on this region
materialsField.Destroy()
dependentField.Destroy()
analyticField.Destroy()
equationsSet.Destroy()
problem.Destroy()