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
A Nonlinear Nonlocal Multi-dimensional Conservation Law
โ Scribed by Jianhua Zhang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 443 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
We study a continuous model which describes the mass transport in droplet dispersions. The model is formulated as a conservation law with several spacevariables,
๐ SIMILAR VOLUMES
A class of wave propagation algorithms for three-dimensional conservation laws and other hyperbolic systems is developed. These unsplit finite-volume methods are based on solving one-dimensional Riemann problems at the cell interfaces and applying flux-limiter functions to suppress oscillations aris
This paper is a continuation of our first paper ( \(J\). Differential Equations, in press). In this paper, we solve the 2-D Riemann problem with the initial data projecting some contact discontinuities and rarefaction waves. The solutions reveal a variety of geometric structures for the interaction
A conservative spectral method is proposed to solve several two-dimensional nonlinear wave equations. The conventional fast Fourier transform is used to approximate the spatial derivatives and a three-level difference scheme with a free parameter ฮธ is to advance the solution in time. Our time discre