An efficient TVD-WENO method for conservation laws
β Scribed by Yousef Hashem Zahran
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 274 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Many of the problems of approximating numerically solutions to nonhomogeneous hyperbolic conservation laws appear to arise from an inability to balance the source and flux terms at steady states. In this paper we present a technique based on the transformation of the nonhomogeneous problem to homoge
In this paper, we present a two-step, component-wise TVD scheme for nonlinear, hyperbolic conservation laws, which is obtained by combining the schemes of Mac Cormack and Warming-Beam. The scheme does not necessitate the characteristic decompositions of the usual TVD schemes. It employs component-wi
We present and analyze the performance of a nonlinear, upwind flux split method for approximating solutions of hyperbolic conservation laws. The method is based on a new version of the single-state-approximate Riemann solver devised by Harten, Lax, and van Leer (HLL) and implemented by Einfeldt. It
In this paper, a class of essentially conservative scheme are constructed and analyzed. The numerical tests and theoretical analysis show that although these schemes can not be written in the usual conservation form, but the numerical solutions obtained with these schemes can converge, as the mesh s