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Optimize maxwell driver by separating real and imaginary components #303

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Optimize maxwell driver by separating real and imaginary components #303

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39 changes: 30 additions & 9 deletions grudge/models/em.py
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Original file line number Diff line number Diff line change
Expand Up @@ -394,11 +394,20 @@ def operator(self, t, w):
material_divisor = (
[self.epsilon]*elec_components+[self.mu]*mag_components)

tags_and_bcs = [
(self.pec_tag, self.pec_bc(w)),
(self.pmc_tag, self.pmc_bc(w)),
(self.absorb_tag, self.absorbing_bc(w)),
(self.incident_tag, self.incident_bc(w)),
actx = get_container_context_recursively(w)

tags_and_bcs_real = [
(self.pec_tag, self.pec_bc(actx.np.real(w))),
(self.pmc_tag, self.pmc_bc(actx.np.real(w))),
(self.absorb_tag, self.absorbing_bc(actx.np.real(w))),
(self.incident_tag, self.incident_bc(actx.np.real(w))),
]

tags_and_bcs_imag = [
(self.pec_tag, self.pec_bc(actx.np.imag(w))),
(self.pmc_tag, self.pmc_bc(actx.np.imag(w))),
(self.absorb_tag, self.absorbing_bc(actx.np.imag(w))),
(self.incident_tag, self.incident_bc(actx.np.imag(w))),
]

dcoll = self.dcoll
Expand All @@ -407,14 +416,26 @@ def flux(pair):
return op.project(dcoll, pair.dd, "all_faces", self.flux(pair))

return (
- self.local_derivatives(w)
- self.local_derivatives(actx.np.real(w))
- 1j*self.local_derivatives(actx.np.imag(w))
- op.inverse_mass(
dcoll,
op.face_mass(
dcoll,
sum(flux(tpair) for tpair in op.interior_trace_pairs(dcoll, w))
+ sum(flux(op.bv_trace_pair(dcoll, tag, w, bc))
for tag, bc in tags_and_bcs)
sum(flux(tpair) for tpair in op.interior_trace_pairs(
dcoll, actx.np.real(w)))
+ sum(flux(op.bv_trace_pair(dcoll, tag, actx.np.real(w), bc))
for tag, bc in tags_and_bcs_real)
)
)
- 1j*op.inverse_mass(
dcoll,
op.face_mass(
dcoll,
sum(flux(tpair) for tpair in op.interior_trace_pairs(
dcoll, actx.np.imag(w)))
+ sum(flux(op.bv_trace_pair(dcoll, tag, actx.np.imag(w), bc))
for tag, bc in tags_and_bcs_imag)
)
)
) / material_divisor
Expand Down