描写气体运动的基本方程是欧拉方程，它由质量、动量和能量三个守恒律组成，它的最大特点和困难在于解中会出现间断现象，冲击波就是一种压缩性的间断。1858年，黎曼紧紧抓住了间断现象这一特点，提出并解决了欧拉方程一种最简单的间断初值问题即初值为含有一个任意间断的阶梯函数，被后人称为黎曼问题。
3)采用GEL程序对一维黎曼问题(Riemann problem)和二维移动边界问题(cylinderlift-off problem)进行了数值模拟计算，一维计算结果与高精度PPM方法计算结果吻合，二维计算结果与文...
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本文利用广义黎曼问题方法(GRP)来解决带有河床地势的浅水波方程组，由此得到了一个推广了的Gudonov型数值格式。
参考来源 - This paper uses the generalized Riemann problem method (GRP) to solve the system of shallow water equations with bottom topography, then a Godunov-type scheme for the shallow water equations with bottom topography is obtained.The solve of numerical flux across the bounding surface is the core of the FVM, by using FVS(Flux Vector Splitting) ,this paper solve the Riemann Problem and get the numerical flux.
求解跨单元边界的数值通量是有限体积法的核心,该文采用通量向量分裂格式(Flux Vector Splitting)求解黎曼问题,得到跨边界数值通量。
参考来源 - 基于有限体积法的二维水流水质模拟及其可视化研究·2,447,543篇论文数据，部分数据来源于NoteExpress
研究一类解耦非线性双曲守恒律系统的广义黎曼问题。
The generalized Riemann problem for a class of decoupled nonlinear hyperbolic system of conservation laws is studied.
本文采用求解非齐次方程组的广义黎曼问题解，对模型数值通量计算格式进行了修改。
In hydrodynamics, however, the scheme for numerical flux is constructed from the solution of the generalized Riemann problem in the present research.
并由此讨论了紧致的非单连通黎曼流形上无穷多的闭测地线存在性问题。
Also, the paper discuss the existence of the infinite closed geodesics of a compact no-simply connected Riemannian manifold.
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