High order combined finite-difference schemes

High order combined finite-difference schemes Full article

Conference

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS
25-30 Sep 2017 , Thessalonik

Journal

AIP Conference Proceedings
ISSN: 0094-243X

Output data

Year: 2018, Volume: 1978, Article number : 470027, Pages count : 4 DOI: 10.1063/1.5044097

Authors

Kovyrkina Olyana ¹ , Ostapenko Vladimir ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics SB RAS, Novosibirsk, Russia
2	Novosibirsk State University, Novosibirsk, Russia

Funding (1)

Российский научный фонд

16-11-10033

A method is proposed for constructing combined shock-capturing finite-difference schemes, which with high accuracy capture the shocks and simultaneously maintain an increased convergence order in all domains of smoothness of the calculated weak solutions. A concrete combined scheme is considered, in which the nonmonotonic compact third-order scheme of weak approximation is used as the basic scheme, and as the inner one is a monotone CABARET scheme of the second order of accuracy for smooth solutions. We presented the test calculations that demonstrate the advantages of the new scheme.

Kovyrkina O. , Ostapenko V.
High order combined finite-difference schemes
AIP Conference Proceedings. 2018. V.1978. 470027 :1-4. DOI: 10.1063/1.5044097 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-85049977984
Elibrary:	35782414
OpenAlex:	W2841918371

Пока нет цитирований