Year: 2003
Author: Zi-Niu Wu
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 519–534
Abstract
The widely used locally adaptive Cartesian grid methods involve a series of abruptly refined interfaces. The numerical dissipation due to these interfaces is studied here for three-point difference approximations of a hyperbolic equation. It will be shown that if the wave moves in the fine-to-coarse direction then the dissipation is positive (stabilizing), and if the wave moves in the coarse-to-fine direction then the dissipation is negative (destabilizing).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10256
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 519–534
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Refined interfaces Numerical dissipation Three-point difference approximation Hyperbolic equation.