Combined DG scheme conserving increased accuracy in shock influence regions

Marina Ladonkina, Olga Nekliudova, Vladimir Ostapenko, Vladimir Tishkin

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

A combined scheme of the discontinuous Galerkin method is proposed. This scheme monotonously localizes the shocks and simultaneously maintains increased accuracy in the shock influence regions. In this scheme, a non-monotonic version of the third-order DG method is used as the baseline and a monotonic version of this method is used as the internal one, in which a nonlinear correction of numerical flows is used. Numerical tests demonstrating the advantages of the new scheme compared to the standard monotonized variants of the DG method areprovided.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019
EditorsTheodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440258
DOIs
Publication statusPublished - 24 Nov 2020
EventInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 - Rhodes, Greece
Duration: 23 Sep 201928 Sep 2019

Publication series

NameAIP Conference Proceedings
Volume2293
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019
CountryGreece
CityRhodes
Period23.09.201928.09.2019

Fingerprint Dive into the research topics of 'Combined DG scheme conserving increased accuracy in shock influence regions'. Together they form a unique fingerprint.

Cite this