On the Construction of Combined Finite-Difference Schemes of High Accuracy

O. A. Kovyrkina, V. V. Ostapenko

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

A method is proposed for constructing combined shock-capturing finite-difference schemes that localize shock fronts with high accuracy and preserve the high order of convergence in all domains where the computed weak solution is smooth. A particular combined scheme is considered in which a nonmonotone compact scheme with a third-order weak approximation is used as a basis one, while the internal scheme is the second-order accurate (for smooth solutions) monotone CABARET. The advantages of the new scheme are demonstrated using test computations.

Original languageEnglish
Pages (from-to)77-81
Number of pages5
JournalDoklady Mathematics
Volume97
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

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