Application of the artificial viscosity for suppressing the carbuncle phenomenon in Godunov-type schemes

I. Yu. Tagirova ; A. V. Rodionov

Matematičeskoe modelirovanie, Tome 27 (2015) no. 10, pp. 47-64.

Résumé

A new approach for solving the carbuncle phenomenon that occurs in Godunov-type schemes when applied to hypersonic flow simulations is proposed. The approach suppresses carbuncleinstability by additional dissipative terms in the form of the right-hand side of Navier–Stokes equations, but with the molecular viscosity replaced by artificial viscosity. The efficiency of suggested approach is demonstrated by solving several test problems.

Détail

Keywords: hypersonic flows, Euler and Navier–Stokes equations.

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