Volume 1, Issue 5
Moving Mesh Method with Conservative Interpolation Based on L^2-Projection

Z. Zhang

DOI:

Commun. Comput. Phys., 1 (2006), pp. 930-944.

Published online: 2006-01

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  • 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.

  • Keywords

Moving mesh method conservative interpolation L^2-projection.

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@Article{CiCP-1-930, author = {}, title = {Moving Mesh Method with Conservative Interpolation Based on L^2-Projection}, journal = {Communications in Computational Physics}, year = {2006}, volume = {1}, number = {5}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7988.html} }
TY - JOUR T1 - Moving Mesh Method with Conservative Interpolation Based on L^2-Projection JO - Communications in Computational Physics VL - 5 SP - 930 EP - 944 PY - 2006 DA - 2006/01 SN - 1 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/cicp/7988.html KW - Moving mesh method KW - conservative interpolation KW - L^2-projection. AB -

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.

Z. Zhang. (2020). Moving Mesh Method with Conservative Interpolation Based on L^2-Projection. Communications in Computational Physics. 1 (5). 930-944. doi:
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