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Riemann solvers: Linearizations and adaption. (English) Zbl 0801.76062
Baines, M. J. (ed.) et al., Numerical methods for fluid dynamics 4. Proceedings of the conference held at Reading University, United Kingdom, April 1992. Oxford: Clarendon Press. 375-383 (1993).
We present a Riemann-solver adaption approach that leads to practical algorithms of comparable efficiency to that of traditional methods. We present also very simple linearizations to be deployed in the smooth parts of the flow field; we also indicate robust Riemann solvers to be used elsewhere in a single numerical method of the Godunov type. The approach is first applied to the time-dependent Euler equations. Multidimensional problems are solved either by a finite volume formulation or space-operator splitting.
For the entire collection see [Zbl 0787.00028].

76M20 Finite difference methods applied to problems in fluid mechanics
76M25 Other numerical methods (fluid mechanics) (MSC2010)