Geodesic
High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 723-734 Cet article a éte moissonné depuis la source Math-Net.Ru

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An approach to the construction of high-order accurate monotone difference schemes for solving gasdynamic problems by Godunov’s 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. 
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N. Ya. Moiseev. High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 723-734. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a15/

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