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TVD schemes to compute compressible viscous flows on unstructured meshes. (English) Zbl 0661.76073
Nonlinear hyperbolic equations-theory, computation methods, and applications, Proc. 2nd Int. Conf., Aachen/FRG 1988, Notes Numer. Fluid Mech. 24, 510-520 (1989).
[For the entire collection see Zbl 0659.00008.]
Finite volume total variation diminushing schemes derived for the Euler equations are extended to the Navier-Stokes system. The numerical diffusion introduced in the approximation of the convective part is chosen through a total variation analysis taking into account the physical diffusion. Two-dimensional numerical simulations are presented, using an algorithm to solve cheaply the steady equations.

76N15 Gas dynamics, general
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76M99 Basic methods in fluid mechanics