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THE ARTIFICIAL VISCOSITY FOR SUPPRESSING THE "CARBUNCLE"-TYPE NUMERICAL INSTABILITY IN 3D PROBLEM SIMULATIONS

A. V. Rodionov
VANT. Ser.: Mat. Mod. Fiz. Proc 2018. Вып.3. С. 44-51.

Generalization of the artificial viscosity method to suppress the "carbuncle"-type instability in the simulation of 3D problems is described. The first-order schemes (Godunov, Rowe, and HLLC schemes, AUSM+ and Safronov scheme) are considered as applied to the simulation of 3D problems using smooth structured grids. The efficiency of this method is demonstrated by the example of well-known test problems.n the TIM code.

Keywords: hypersonic flows, Eulerian and Navier-Stokes equations, numerical instability, artificial viscosity, 3D problem simulations.







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