A space–time CESE scheme for shallow water magnetohydrodynamics equations with variable bottom topography
| Autor: | M. Rehan Saleem, Shamsul Qamar, Saqib Zia |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Conservation law Mechanical Engineering Applied Mathematics Space time Mathematical analysis General Engineering Extrapolation Aerospace Engineering 01 natural sciences Industrial and Manufacturing Engineering Domain (mathematical analysis) 010305 fluids & plasmas Waves and shallow water Classical mechanics 0103 physical sciences Automotive Engineering Compressibility Magnetohydrodynamics 010303 astronomy & astrophysics Interpolation |
| Zdroj: | Journal of the Brazilian Society of Mechanical Sciences and Engineering. 39:1563-1573 |
| ISSN: | 1806-3691 1678-5878 |
| DOI: | 10.1007/s40430-016-0678-4 |
| Popis: | The dynamics of thin layer incompressible and electrically conducting fluids is described by shallow water magnetohydrodynamics equations (SWMHD), for which the evolution is nearly two dimensional and the magnetic equilibrium lies in the third direction. In this article, a space–time conservation element and solution element (CESE) scheme is extended for numerical investigation of one- and two-dimension shallow water magnetohydrodynamics (SWMHD) with variable bottom topography. The presence of non-conservative terms and the inclusion of variable bottom topography on the right hand side of SWMHD equations poses some major challenges for any numerical scheme. The proposed CESE scheme differs from the previous techniques because of global and local flux conservation in a space–time domain without restoring to interpolation and extrapolation. To check the validity of the scheme, a number of test problems are considered. The results are also compared with the already existing results in the literature by central-upwind scheme. |
| Databáze: | OpenAIRE |
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