High resolution finite volume schemes and computational aerodynamics. (English) Zbl 0661.76057

Causon, D. M.

Nonlinear hyperbolic equations-theory, computation methods, and applications, Proc. 2nd Int. Conf., Aachen/FRG 1988, Notes Numer. Fluid Mech. 24, 63-74 (1989).

[For the entire collection see Zbl 0659.00008.]
The underlying theory is reviewed for the construction of total variation diminishing finite-difference schemes. Using these methods and artificial compression techniques, a high resolution version of the well-known MacCormack scheme is constructed. Applications of the method to high speed external aerodynamic flows are reported which use a finite volume formulation and operator-splitting. Existing production code implementations of MacCormack’s method can be updated easily, as described, to reflect recent advances in one-dimensional schemes.

MSC:

76H05	Transonic flows
76G25	General aerodynamics and subsonic flows
76M99	Basic methods in fluid mechanics

Keywords:

total variation diminishing finite-difference schemes; artificial compression techniques; MacCormack scheme; external aerodynamic flows; operator-splitting

Citations:

Zbl 0659.00008