Explicit combined finite-difference scheme of high accuracy

Explicit combined finite-difference scheme of high accuracy Full article

Journal

AIP Conference Proceedings
ISSN: 0094-243X

Output data

Year: 2019, Volume: 2116, Article number : 450016, Pages count : 4 DOI: 10.1063/1.5114483

Authors

Kovyrkina Olyana ¹ , Ostapenko Vladimir ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics of SB RAS, Lavrentyev avenue, 15, Novosibirsk, 630090, Russia
2	Novosibirsk State University, Pirogova street, 2, Novosibirsk, 630090, Russia

Funding (1)

Российский научный фонд

16-11-10033-Продление

We constructed an explicit combined finite-difference scheme, which with the high accuracy capture the shocks and simultaneously preserves an increased convergence order in all domains of smoothness of the calculated weak solutions. In this combined scheme, the nonmonotonic third-order Rusanov scheme is used as the basic scheme, and as the inner one is a mono- tone second order CABARET scheme. We presented the test calculations that demonstrate the advantages of the new scheme in comparison with the WENO-scheme of the fifth order in space and the third order in time.

Kovyrkina O. , Ostapenko V.
Explicit combined finite-difference scheme of high accuracy
AIP Conference Proceedings. 2019. V.2116. 450016 :1-4. DOI: 10.1063/1.5114483 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-85069976239
Elibrary:	41631302
OpenAlex:	W2963150059

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