Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries

Preprint

5 July 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.physics/0307036

Abstract

We study the propagation of waves across fixed mesh refinement boundaries in linear and nonlinear model equations in 1--D and 2--D, and in the 3--D Einstein equations of general relativity. We demonstrate that using linear interpolation to set the data in guard cells leads to the production of reflected waves at the refinement boundaries. Implementing quadratic interpolation to fill the guard cells suppresses these spurious signals.

Keywords

MESH REFINEMENT BOUNDARIES
INTERFACE CONDITIONS
WAVE PROPAGATION
INTERPOLATION
GUARD CELLS

All Related Versions

Version 1, 2003-07-05, ArXiv
Published version: Journal of Computational Physics, 193 (2), 398.

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