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Can I read A Central Conservative Scheme for General Rectangular Grids on EtoBox?
A Central Conservative Scheme for General Rectangular Grids by R. Kissmann; J. Pomoell; W. Kley is a Engineering article available to read on EtoBox.
What is A Central Conservative Scheme for General Rectangular Grids about?
We present an extension of the genuinely multi-dimensional semi-discrete central scheme developed in [A. Kurganov, S. Noelle, G. Petrova, Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations, SIAM J. Sci. Comput. 23 (3) (2001) 707-740.] to arbitrary orthogonal grids. The presented algorithm is constructed to yield the geometric scaling factors in a self-consistent way. Additionally, the order of the scheme is not fixed during the derivation of the basic algorithm. Based on the resulting general scheme it is possible to construct methods of any desired order, just by considering the corresponding reconstruction polynomial. We demonstrate how a second order scheme in plane polar coordinates and cylindrical coordinates can be derived from our general formulation. Finally, we demonstrate the correctness of this second order scheme through application to several numerical experiments.
Who reads A Central Conservative Scheme for General Rectangular Grids?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- R. Kissmann; J. Pomoell; W. Kley
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV; Test accounts (ISSN 0021-9991)
- Published
- 2009
- Language
- EN
- Field
- Engineering (Physical Sciences)