Local nonreflecting boundary condition for time-dependent multiple scattering

Authors:
Marcus J. Grote;Imbo Sim
Affiliations:
Institute of Mathematics, University of Basel, Rheinsprung 21, 4051 Basel, Switzerland;Mathematics Institute of Computational Science and Engineering, EPFL, Station 8, 1015 Lausanne, Switzerland
Venue:
Journal of Computational Physics
Year:
2011

Citing 18
Cited 1

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Abstract

Starting from a high-order local nonreflecting boundary condition (NBC) for single scattering [25], we derive a local NBC for time-dependent multiple scattering problems in three space dimensions, which is completely local both in space and time. To do so, we first develop an exterior evaluation formula for a purely outgoing wave field, given its values and those of certain auxiliary functions needed for the local NBC at the artificial boundary. By combining that evaluation formula with the decomposition of the total scattered field into purely outgoing contributions, we obtain a completely local NBC for time-dependent multiple scattering problems. The accuracy and stability of this new local NBC are evaluated by coupling it to a standard finite difference method.