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Interface Conditions for Wave Propagation Through Mesh Refinement BoundariesWe 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 eliminates these spurious signals.
Document ID
20030032206
Acquisition Source
Goddard Space Flight Center
Document Type
Preprint (Draft being sent to journal)
Authors
Choi, Dae-II
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Brown, J. David
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Imbiriba, Breno
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Centrella, Joan
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
MacNeice, Peter
(Drexel Univ. Philadelphia, PA, United States)
Date Acquired
August 21, 2013
Publication Date
October 21, 2002
Subject Category
Numerical Analysis
Distribution Limits
Public
Copyright
Public Use Permitted.
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