Year: 2006
Communications in Computational Physics, Vol. 1 (2006), Iss. 5 : pp. 930–944
Abstract
We develop an efficient one-dimensional moving mesh algorithm for solving partial differential equations. The main contribution of this paper is to design an effective interpolation scheme based on L2-projection for the moving mesh method. The proposed method preserves not only the mass-conservation but also the first order momentum of the underlying numerical solution at each mesh redistribution step. Numerical examples are presented to demonstrate the effectiveness of the new interpolation technique.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-CiCP-7988
Communications in Computational Physics, Vol. 1 (2006), Iss. 5 : pp. 930–944
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Moving mesh method