Interface conditions for wave propagation through mesh refinement boundaries

JOURNAL OF COMPUTATIONAL PHYSICS

卷:193

Article

Choi, DI ; Brown, JD ; Imbiriba, B ; Centrella, J ; MacNeice, P

关键词: partial differential equations;    computational techniques;    finite difference methods;    mesh generation and refinement;    numerical relativity;    gravitational waves;   

DOI  :  10.1016/j.jcp.2003.07.036

来源: Elsevier

【 摘 要 】

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. (C) 2003 Elsevier B.V. All rights reserved.

【 授权许可】

Free