PRE 发表于 2025-3-26 21:26:17
Approximate-State Riemann Solvers,nov—type methods: one approach is to find an . employed in the numerical method, directly, see Chaps. 10, 11 and 12; the other approach is to find an . and then evaluate the physical flux function at this state. It is the latter route the one we follow in this chapter.可以任性 发表于 2025-3-27 02:08:28
The HLL and HLLC Riemann Solvers,ent and robust approximate Godunov—type methods. One difficulty with these schemes, however, is the assumption of a two—wave configuration. This is correct only for hyperbolic systems of two equations, such as the one—dimensional shallow water equations. For larger systems, such as the Euler equatioOutspoken 发表于 2025-3-27 07:24:29
The Riemann Solver of Roe,nsiderable period of time has led to various improvements of the scheme. As originally presented the Roe scheme computes rarefaction shocks, thus violating the entropy condition. Harten and Hyman , Roe and Pike , Roe , Dubois and Mehlman and others, have produced appropriate modDOSE 发表于 2025-3-27 13:19:21
The Riemann Solver of Osher,lowly—moving shock waves; see Roberts , Billett and Toro and Arora and Roe . The scheme is closely related to the Flux Vector Splitting approach described in Chap. 8 and, as Godunov’s method of Chap. 6, it is a generalisation of the CIR scheme described in Chap. 5 for linear hyperbolicIntroduction 发表于 2025-3-27 16:45:37
High-Order and TVD Schemes for Non-Linear Systems,Chap. 3. Applications to other systems may be easily accomplished. Techniques for extending the methods to systems with source terms, as for reactive flows for instance, are given in Chap. 15 and to multidimensional systems in Chap. 16.saturated-fat 发表于 2025-3-27 18:48:05
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Riemann Solvers and Numerical Methods for Fluid Dynamics978-3-662-03915-1mucous-membrane 发表于 2025-3-28 07:41:12
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