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Reliable finite volume methods for Navier-Stokes equations. (English) Zbl 0876.76058

Hebeker, Friedrich-Karl (ed.) et al., Numerical methods for the Navier-Stokes equations. Proceedings of the international workshop held, Heidelberg, Germany, October 25-28, 1993. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 47, 1-8 (1994).
This paper describes the unstructured triangular mesh spatial discretization method used as a prototype package for compressible flows. The scheme is a cell-centred, second-order finite volume scheme that employs a ten-triangle stencil. The algorithm is extended to include a new treatment of the diffusion terms. The prototype software uses an adaptive time error control, and space remeshing strategy is used to attempt to control numerical errors in the solution.
For the entire collection see [Zbl 0837.00018].

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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