Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee

被引：25
|
作者：
Godunov, S. K. [1 ]
Kulikov, I. M. [2 ,3 ]
机构：
[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia
[2] Russian Acad Sci, Inst Computat Math & Math Geophys, Siberian Branch, Novosibirsk 630090, Russia
[3] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
dynamics equations; computation of discontinuous solutions; Godunov's scheme; entropy nondecrease guarantee; CONSERVATION-LAWS; SCHEMES;
D O I：
10.1134/S0965542514060086
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new formulation of the Godunov scheme with linear Riemann problems is proposed that guarantees a nondecrease in entropy. The new version of the method is described for the simplest example of one-dimensional gas dynamics in Lagrangian coordinates.
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页码：1012 / 1024
页数：13
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