Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries
Computational Physics
2015-06-26 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.physics/0307036,
title = {Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries},
author = {Dae-Il Choi and J. David Brown and Breno Imbiriba and Joan Centrella and Peter MacNeice},
journal= {arXiv preprint arXiv:physics/0307036},
year = {2015}
}
Comments
46 pages, 18 figures, Submitted to Journal of Computational Physics