A multidimensional HLL-Riemann solver for non-linear hyperbolic systems
β Scribed by G. Capdeville
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 871 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.2453
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## Abstract We present a new finiteβvolume method for calculating complex flows on nonβuniform meshes. This method is designed to be highly compact and to accurately capture all discontinuities that may arise within the solution of a nonlinear hyperbolic system. In the first step, we devise a four
A simple approximate Riemann solver for hyperbolic systems of conservation laws is developed for its use in Godunov schemes. The solver is based on characteristic formulations and is illustrated through Euler and ideal magnetohydrodynamical (MHD) equations. The procedure of a high-order Godunov sche
Communicated by A. Piskorek The mixed-Neumann problem for the non-linear wave equation m ua(u)(la,u)12 -IVu12) =f.(z) is studied. The function f , ( z ) = ~, , , &( z , E -~& ( z ) , E ) , E E [0, 11, K is finite, &(z,&,E) are 2s-periodic with respect to 0,. The existence of solution u, on a domain