An extension of the discrete variational method to nonuniform grids

The discrete variational method is a method used to derive finite difference schemes that inherit the conservation/dissipation property of the original equations. Although this method has mainly been developed for uniform grids, we extend this method to multidimensional nonuniform meshes.

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Bibliographic Details
Published in:Journal of computational physics 2010-06, Vol.229 (11), p.4382-4423
Main Authors: Yaguchi, Takaharu, Matsuo, Takayasu, Sugihara, Masaaki
Format: Article
Language:English
Subjects:
Computation
Computational techniques
Conservation
Discrete variational method
Dissipation
Exact sciences and technology
Mapping method
Mathematical analysis
Mathematical methods in physics
Nonuniform
Nonuniform mesh
Physics
Variational methods
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Description
Summary:The discrete variational method is a method used to derive finite difference schemes that inherit the conservation/dissipation property of the original equations. Although this method has mainly been developed for uniform grids, we extend this method to multidimensional nonuniform meshes.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2010.02.018