An Experimental Adaptation of Higdon-Type Non-Reflecting Boundary Conditions to Linear First-Order Systems

Authors

John R. Dea, Air Force Institute of Technology

Document Type

Article

Publication Date

2011

Abstract

Experiments in adapting the Higdon non-reflecting boundary condition (NRBC) method to linear 2-D first-order systems are presented. Finite difference implementations are developed for the free-space Maxwell equations, the linearized shallow-water equations with Coriolis, and the linearized Euler equations with uniform advection. This NRBC technique removes up to 99% of the reflection error generated by the Sommerfeld radiation condition with only a modest increase in computational overhead. Abstract © Elsevier

Comments

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Reviewed at MR2728071

DOI

10.1016/j.cam.2010.08.023

Source Publication

Journal of Computational and Applied Mathematics

Recommended Citation

Dea, J. R. (2011). An experimental adaptation of Higdon-type non-reflecting boundary conditions to linear first-order systems. Journal of Computational and Applied Mathematics, 235(5), 1354–1366. https://doi.org/10.1016/j.cam.2010.08.023