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Title of article :
Interface conditions for wave propagation through mesh refinement boundaries
Author/Authors :
Choi، نويسنده , , Dae-Il and David Brown، نويسنده , , J. and Imbiriba، نويسنده , , Breno and Centrella، نويسنده , , Joan and MacNeice، نويسنده , , Peter، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Pages :
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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 :
Computational techniques , gravitational waves , finite difference methods , Mesh generation and refinement , numerical relativity , partial differential equations
Journal title :
Journal of Computational Physics
Journal title :
Journal of Computational Physics
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Link To Document :