def __init__(self, order, multipleSimulations, matricesDir, memLayout,
numberOfMechanisms, **kwargs):
super().__init__(order, multipleSimulations, matricesDir)
clones = {
'star': ['star(0)', 'star(1)', 'star(2)'],
}
self.db.update(
parseXMLMatrixFile(
'{}/matrices_poroelastic.xml'.format(matricesDir), clones))
self.db.update(
parseJSONMatrixFile('{}/stp_{}.json'.format(matricesDir, order),
clones))
memoryLayoutFromFile(memLayout, self.db, clones)
def addKernels(generator, aderdg, matricesDir, dynamicRuptureMethod):
if dynamicRuptureMethod == 'quadrature':
numberOfPoints = (aderdg.order+1)**2
elif dynamicRuptureMethod == 'cellaverage':
numberOfPoints = int(4**math.ceil(math.log(aderdg.order*(aderdg.order+1)/2,4)))
else:
raise ValueError('Unknown dynamic rupture method.')
clones = dict()
# Load matrices
db = parseJSONMatrixFile('{}/dr_{}_matrices_{}.json'.format(matricesDir, dynamicRuptureMethod, aderdg.order), clones, alignStride=aderdg.alignStride, transpose=aderdg.transpose)
# Determine matrices
# Note: This does only work because the flux does not depend on the mechanisms in the case of viscoelastic attenuation
godShape = (aderdg.numberOfQuantities(), aderdg.numberOfQuantities())
godunovMatrix = Tensor('godunovMatrix', godShape)
fluxSolverShape = (aderdg.numberOfQuantities(), aderdg.numberOfExtendedQuantities())
fluxSolver = Tensor('fluxSolver', fluxSolverShape)
gShape = (numberOfPoints, aderdg.numberOfQuantities())
godunovState = OptionalDimTensor('godunovState', aderdg.Q.optName(), aderdg.Q.optSize(), aderdg.Q.optPos(), gShape, alignStride=True)
generator.add('rotateGodunovStateLocal', godunovMatrix['qp'] <= aderdg.Tinv['kq'] * aderdg.QgodLocal['kp'])
generator.add('rotateGodunovStateNeighbor', godunovMatrix['qp'] <= aderdg.Tinv['kq'] * aderdg.QgodNeighbor['kp'])
fluxScale = Scalar('fluxScale')
generator.add('rotateFluxMatrix', fluxSolver['qp'] <= fluxScale * aderdg.starMatrix(0)['qk'] * aderdg.T['pk'])
def godunovStateGenerator(i,h):
target = godunovState['kp']
term = db.V3mTo2n[i,h][aderdg.t('kl')] * aderdg.Q['lq'] * godunovMatrix['qp']
if h == 0:
return target <= term
return target <= target + term
godunovStatePrefetch = lambda i,h: godunovState
generator.addFamily('godunovState', simpleParameterSpace(4,4), godunovStateGenerator, godunovStatePrefetch)
nodalFluxGenerator = lambda i,h: aderdg.extendedQTensor()['kp'] <= aderdg.extendedQTensor()['kp'] + db.V3mTo2nTWDivM[i,h][aderdg.t('kl')] * godunovState['lq'] * fluxSolver['qp']
nodalFluxPrefetch = lambda i,h: aderdg.I
generator.addFamily('nodalFlux', simpleParameterSpace(4,4), nodalFluxGenerator, nodalFluxPrefetch)
def __init__(self, order, multipleSimulations, matricesDir, memLayout, numberOfMechanisms, **kwargs):
super().__init__(order, multipleSimulations, matricesDir)
self.numberOfMechanisms = numberOfMechanisms
clones = {
'star': ['star(0)', 'star(1)', 'star(2)'],
}
self.db.update( parseXMLMatrixFile('{}/matrices_viscoelastic.xml'.format(matricesDir), clones) )
memoryLayoutFromFile(memLayout, self.db, clones)
self._qShapeExtended = (self.numberOf3DBasisFunctions(), self.numberOfExtendedQuantities())
self._qShapeAnelastic = (self.numberOf3DBasisFunctions(), self.numberOfAnelasticQuantities(), self.numberOfMechanisms)
self.Qext = OptionalDimTensor('Qext', self.Q.optName(), self.Q.optSize(), self.Q.optPos(), self._qShapeExtended, alignStride=True)
self.Qane = OptionalDimTensor('Qane', self.Q.optName(), self.Q.optSize(), self.Q.optPos(), self._qShapeAnelastic, alignStride=True)
self.Iane = OptionalDimTensor('Iane', self.Q.optName(), self.Q.optSize(), self.Q.optPos(), self._qShapeAnelastic, alignStride=True)
self.E = Tensor('E', (self.numberOfAnelasticQuantities(), self.numberOfMechanisms, self.numberOfQuantities()))
self.w = Tensor('w', (self.numberOfMechanisms,))
self.W = Tensor('W', (self.numberOfMechanisms, self.numberOfMechanisms), np.eye(self.numberOfMechanisms, dtype=bool), CSCMemoryLayout)
selectElaSpp = np.zeros((self.numberOfExtendedQuantities(), self.numberOfQuantities()))
selectElaSpp[0:self.numberOfQuantities(),0:self.numberOfQuantities()] = np.eye(self.numberOfQuantities())
self.selectEla = Tensor('selectEla', (self.numberOfExtendedQuantities(), self.numberOfQuantities()), selectElaSpp, CSCMemoryLayout)
selectAneSpp = np.zeros((self.numberOfExtendedQuantities(), self.numberOfAnelasticQuantities()))
selectAneSpp[self.numberOfQuantities():self.numberOfExtendedQuantities(),0:self.numberOfAnelasticQuantities()] = np.eye(self.numberOfAnelasticQuantities())
self.selectAne = Tensor('selectAne', (self.numberOfExtendedQuantities(), self.numberOfAnelasticQuantities()), selectAneSpp, CSCMemoryLayout)
self.db.update(
parseJSONMatrixFile('{}/nodal/nodalBoundary_matrices_{}.json'.format(matricesDir,
self.order),
{},
alignStride=self.alignStride,
transpose=self.transpose,
namespace='nodal')
)
order = int(cmdLineArgs.order)
degree = order - 1
numberOf1DBasisFunctions = order
numberOfQuadraturePoints = order + 1
numberOfQuantities = 3
qShape = (numberOf1DBasisFunctions, numberOf1DBasisFunctions,
numberOfQuantities)
qShape1 = (numberOf1DBasisFunctions, numberOfQuantities)
clones = {'kDivM': ['kDivM', 'kDivMT'], 'kTDivM': ['kTDivM', 'kTDivMT']}
transpose = {'kDivMT', 'kTDivMT'}
alignStride = {'kDivM', 'kTDivM'}
db = parseJSONMatrixFile('{}/matrices_{}.json'.format(cmdLineArgs.matricesDir,
degree),
clones,
transpose=transpose,
alignStride=alignStride)
db.update(parseJSONMatrixFile('{}/star.json'.format(cmdLineArgs.matricesDir)))
memoryLayoutFromFile(cmdLineArgs.memLayout, db, dict())
Q = Tensor('Q', qShape)
Q1 = Tensor('Q1', qShape1)
Q1Neighbour = Tensor('Q1Neighbour', qShape1)
dQ0 = Tensor('dQ(0)', qShape)
I = Tensor('I', qShape)
phi = [
Tensor('phi({})'.format(i), (numberOf1DBasisFunctions, )) for i in range(2)
]
phiDivM = [
Tensor('phiDivM({})'.format(i), (numberOf1DBasisFunctions, ))
def __init__(self, order, multipleSimulations, matricesDir):
self.order = order
self.alignStride = lambda name: True
if multipleSimulations > 1:
self.alignStride = lambda name: name.startswith('fP')
transpose = multipleSimulations > 1
self.transpose = lambda name: transpose
self.t = (lambda x: x[::-1]) if transpose else (lambda x: x)
self.db = parseXMLMatrixFile('{}/matrices_{}.xml'.format(
matricesDir, self.numberOf3DBasisFunctions()),
transpose=self.transpose,
alignStride=self.alignStride)
clonesQP = {'v': ['evalAtQP'], 'vInv': ['projectQP']}
self.db.update(
parseXMLMatrixFile('{}/plasticity_ip_matrices_{}.xml'.format(
matricesDir, order),
clonesQP,
transpose=self.transpose,
alignStride=self.alignStride))
self.db.update(
parseJSONMatrixFile(
'{}/sampling_directions.json'.format(matricesDir)))
self.db.update(
parseJSONMatrixFile('{}/mass_{}.json'.format(matricesDir, order)))
qShape = (self.numberOf3DBasisFunctions(), self.numberOfQuantities())
self.Q = OptionalDimTensor('Q',
's',
multipleSimulations,
0,
qShape,
alignStride=True)
self.I = OptionalDimTensor('I',
's',
multipleSimulations,
0,
qShape,
alignStride=True)
Aplusminus_spp = self.flux_solver_spp()
self.AplusT = Tensor('AplusT',
Aplusminus_spp.shape,
spp=Aplusminus_spp)
self.AminusT = Tensor('AminusT',
Aplusminus_spp.shape,
spp=Aplusminus_spp)
Tshape = (self.numberOfExtendedQuantities(),
self.numberOfExtendedQuantities())
trans_spp = self.transformation_spp()
self.T = Tensor('T', trans_spp.shape, spp=trans_spp)
trans_inv_spp = self.transformation_inv_spp()
self.Tinv = Tensor('Tinv', trans_inv_spp.shape, spp=trans_inv_spp)
godunov_spp = self.godunov_spp()
self.QgodLocal = Tensor('QgodLocal',
godunov_spp.shape,
spp=godunov_spp)
self.QgodNeighbor = Tensor('QgodNeighbor',
godunov_spp.shape,
spp=godunov_spp)
self.oneSimToMultSim = Tensor('oneSimToMultSim', (self.Q.optSize(), ),
spp={(i, ): '1.0'
for i in range(self.Q.optSize())})
self.db.update(
parseJSONMatrixFile(
'{}/nodal/nodalBoundary_matrices_{}.json'.format(
matricesDir, self.order), {},
alignStride=self.alignStride,
transpose=self.transpose,
namespace='nodal'))
self.INodal = OptionalDimTensor(
'INodal',
's',
False, #multipleSimulations,
0,
(self.numberOf2DBasisFunctions(), self.numberOfQuantities()),
alignStride=True)
project2nFaceTo3m = tensor_collection_from_constant_expression(
base_name='project2nFaceTo3m',
expressions=lambda i: self.db.rDivM[i]['jk'] * self.db.V2nTo2m['kl'
],
group_indices=range(4),
target_indices='jl')
self.db.update(project2nFaceTo3m)
def addKernels(generator, aderdg, matricesDir, dynamicRuptureMethod):
if dynamicRuptureMethod == 'quadrature':
numberOfPoints = (aderdg.order + 1)**2
elif dynamicRuptureMethod == 'cellaverage':
numberOfPoints = int(4**math.ceil(
math.log(aderdg.order * (aderdg.order + 1) / 2, 4)))
else:
raise ValueError('Unknown dynamic rupture method.')
clones = dict()
# Load matrices
db = parseJSONMatrixFile('{}/dr_{}_matrices_{}.json'.format(
matricesDir, dynamicRuptureMethod, aderdg.order),
clones,
alignStride=aderdg.alignStride,
transpose=aderdg.transpose)
db.update(
parseJSONMatrixFile('{}/resample_{}.json'.format(
matricesDir, aderdg.order)))
# Determine matrices
# Note: This does only work because the flux does not depend on the mechanisms in the case of viscoelastic attenuation
trans_inv_spp_T = aderdg.transformation_inv_spp().transpose()
TinvT = Tensor('TinvT', trans_inv_spp_T.shape, spp=trans_inv_spp_T)
flux_solver_spp = aderdg.flux_solver_spp()
fluxSolver = Tensor('fluxSolver',
flux_solver_spp.shape,
spp=flux_solver_spp)
gShape = (numberOfPoints, aderdg.numberOfQuantities())
QInterpolated = OptionalDimTensor('QInterpolated',
aderdg.Q.optName(),
aderdg.Q.optSize(),
aderdg.Q.optPos(),
gShape,
alignStride=True)
generator.add('transposeTinv', TinvT['ij'] <= aderdg.Tinv['ji'])
fluxScale = Scalar('fluxScale')
generator.add(
'rotateFluxMatrix', fluxSolver['qp'] <=
fluxScale * aderdg.starMatrix(0)['qk'] * aderdg.T['pk'])
def interpolateQGenerator(i, h):
return QInterpolated['kp'] <= db.V3mTo2n[i, h][aderdg.t(
'kl')] * aderdg.Q['lq'] * TinvT['qp']
interpolateQPrefetch = lambda i, h: QInterpolated
generator.addFamily('evaluateAndRotateQAtInterpolationPoints',
simpleParameterSpace(4, 4), interpolateQGenerator,
interpolateQPrefetch)
nodalFluxGenerator = lambda i, h: aderdg.extendedQTensor()[
'kp'] <= aderdg.extendedQTensor()['kp'] + db.V3mTo2nTWDivM[i, h][
aderdg.t('kl')] * QInterpolated['lq'] * fluxSolver['qp']
nodalFluxPrefetch = lambda i, h: aderdg.I
generator.addFamily('nodalFlux', simpleParameterSpace(4, 4),
nodalFluxGenerator, nodalFluxPrefetch)
return {db.resample}