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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.

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