V. M. Goloviznin, A. V. Solov'ev, V. A. Isakov, “An approximation algorithm for the treatment of sound points in the CABARET scheme”, Num. Meth. Prog., 2016, Volume 17, Issue 2,Pages <nobr>166

An approximation algorithm for the treatment of sound points in the CABARET scheme

V. M. Goloviznin^a, A. V. Solov'ev^b, V. A. Isakov^a

^a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b Nuclear Safety Institute, RAS, Moscow

Abstract: A new numerical approach to the calculation of flux variables on a new time layer in the CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) scheme for the numerical solution of quasilinear hyperbolic differential equations is described. This approach allows one to uniformly treat all cases of sound points and does not violate the time reversibility properties of difference schemes in the absence of nonlinear correction of fluxes.

Keywords: systems of hyperbolic equations, shallow water equations with bottom topography, numerical methods, sound point, CABARET scheme.

UDC: 519.63

Received: 07.04.2016