This article is cited in 3 scientific papers (total in 3 papers)
High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion
N. Ya. Moiseev
All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Box 245, Snezhinsk, 456770 Russia
An approach to the construction of high-order accurate monotone difference schemes for solving gasdynamic problems by GodunovТs method with antidiffusion is proposed. Godunov's theorem on monotone schemes is used to construct a new antidiffusion flux limiter in high-order accurate difference schemes as applied to linear advection equations with constant coefficients. The efficiency of the approach is demonstrated by solving linear advection equations with constant coefficients and one-dimensional gasdynamic equations.
gasdynamic problems, high-order accurate monotone staggered schemes, Godunov's method, flux limiter, antidiffusion, advection equation.
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Computational Mathematics and Mathematical Physics, 2011, 51:4, 676–687
N. Ya. Moiseev, “High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011), 723–734; Comput. Math. Math. Phys., 51:4 (2011), 676–687
Citation in format AMSBIB
\paper High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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