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://doi.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.