Splitting method for CABARET scheme approximating the non-uniform scalar conservation law
N.A. Zyuzina1,2, V.V. Ostapenko1,2, E.I. Polunina2
1Lavrentyev Institute of Hydrodynamics, SB RAS, pr. Acad. Lavrentieva 15, Novosibirsk, 630090, Russia
2Novosibirsk State University, Pirogova st., 2, Novosibirsk, 630090, Russia
Keywords: метод расщепления по физическим процессам, монотонная схема CABARET, неоднородный скалярный закон сохранения, splitting method, monotone CABARET scheme, non-uniform scalar conservation law
Abstract
The splitting method for the CABARET scheme approximating the non-uniform scalar conservation law with convex and monotonically increasing flux function has been proposed. It was shown that at the first step of this method, when the uniform conservation law is approximated, the CABARET scheme is monotonic and its numerical solutions do not have non-physical oscillations in the shock wavefronts. Test computations that illustrate these properties of the CABARET scheme are presented.
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