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This article is cited in 14 scientific papers (total in 14 papers)
Application of the artificial viscosity for suppressing the carbuncle phenomenon in Godunov-type schemes
I. Yu. Tagirova, A. V. Rodionov Russian Federal Nuclear Center — VNIIEF, Sarov
Abstract:
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.
Received: 16.03.2015
Citation:
I. Yu. Tagirova, A. V. Rodionov, “Application of the artificial viscosity for suppressing the carbuncle phenomenon in Godunov-type schemes”, Matem. Mod., 27:10 (2015), 47–64; Math. Models Comput. Simul., 8:3 (2016), 249–262
Linking options:
https://www.mathnet.ru/eng/mm3657 https://www.mathnet.ru/eng/mm/v27/i10/p47
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Abstract page: | 450 | Full-text PDF : | 250 | References: | 53 | First page: | 18 |
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