N. A. Zyuzina, V. V. Ostapenko, E. I. Polunina, “Splitting method for CABARET scheme approximating the non-uniform scalar conservation law”, Sib. Zh. Vychisl. Mat., 2018, Volume 21, Number 2,Pages <nobr>185

This article is cited in 2 papers

Splitting method for CABARET scheme approximating the non-uniform scalar conservation law

N. A. Zyuzina^ab, V. V. Ostapenko^ab, E. I. Polunina^b

^a Lavrentiev Institute of Hydrodynamics SB RAS, 15 Lavrentiev av., Novosibirsk, 630090, Russia
^b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia

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.

Key words: splitting method, monotone CABARET scheme, non-uniform scalar conservation law.

UDC: 519.63

Received: 05.05.2017
Revised: 06.09.2017

DOI: 10.15372/SJNM20180205