On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
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DOI：
10.1007/978-3-642-60543-7_4
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发表时间：
1983
期刊：
影响因子：
10.2
通讯作者：
A. Harten;P. Lax;B. Leer
中科院分区：
文献类型：
--
作者：
A. Harten;P. Lax;B. Leer
本文通过统一的表示方式回顾了上游差分方案的一些最新进展，以便能够在各种方案之间进行比较。特别关注通过使用黎曼问题的近似解而产生的戈杜诺夫型方案。对于基于通量分裂的方案，黎曼近似解可以解释为无碰撞玻尔兹曼方程的解。
This paper reviews some of the recent developments in upstream difference schemes through a unified representation, in order to enable comparison between the various schemes. Special attention is given to the Godunov-type schemes that result from using an approximate solution of the Riemann problem. For schemes based on flux splitting, the approximate Riemann solution can be interpreted as a solution of the collisionless Boltzmann equation.