Artificial dissipation models for the Euler equations. (English) Zbl 0611.76075

Pulliam, Thomas H.

AIAA J. 24, 1931-1940 (1986).

Various artificial dissipation models that are used with central difference algorithms for the Euler equations are analyzed for their effect on accuracy, stability, and convergence rates.
In particular, linear and nonlinear models are investigated using an implicit approximate factorization code for transonic airfoils. Fully implicit application of the dissipation models is shown to improve robustness and convergence rates. The treatment of dissipation models at boundaries will be examined. It will be shown that accurate, error free solutions with sharp shocks can be obtained using a central difference algorithm coupled with an appropriate nonlinear artificial dissipation model.

MSC:

76H05	Transonic flows
76M99	Basic methods in fluid mechanics
35Q30	Navier-Stokes equations

Keywords:

artificial dissipation models; central difference algorithms; Euler equations; accuracy; stability; convergence rates; nonlinear models; implicit approximate factorization code; transonic airfoils; error free solutions; sharp shocks; nonlinear artificial dissipation model