Geodesic
Application of the artificial viscosity for suppressing the carbuncle phenomenon in Godunov-type schemes
Matematičeskoe modelirovanie, Tome 27 (2015) no. 10, pp. 47-64

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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.
Keywords: hypersonic flows, Euler and Navier–Stokes equations. 
@article{MM_2015_27_10_a4,
     author = {I. Yu. Tagirova and A. V. Rodionov},
     title = {Application of the artificial viscosity for suppressing the carbuncle phenomenon in {Godunov-type} schemes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {47--64},
     publisher = {mathdoc},
     volume = {27},
     number = {10},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_10_a4/}
}
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I. Yu. Tagirova; A. V. Rodionov. Application of the artificial viscosity for suppressing the carbuncle phenomenon in Godunov-type schemes. Matematičeskoe modelirovanie, Tome 27 (2015) no. 10, pp. 47-64. http://geodesic.mathdoc.fr/item/MM_2015_27_10_a4/