Combined dg scheme that maintains increased accuracy in shock wave areas

M. E. Ladonkina, O. A. Nekliudova, V. V. Ostapenko, V. F. Tishkin

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

Аннотация

A combined scheme for the discontinuous Galerkin (DG) method is proposed. This scheme monotonically localizes the fronts of shock waves and simultaneously maintains increased accuracy in the regions of smoothness of the computed weak solutions. In this scheme, a nonmonotone version of the third-order DG method is used as a baseline scheme and a monotone version of this method is used as an internal scheme, in which a nonlinear correction of numerical fluxes is used. Tests demonstrate the advantages of the new scheme as compared to standard monotonized variants of the DG method.

Язык оригиналаанглийский
Страницы (с-по)519-523
Число страниц5
ЖурналDoklady Mathematics
Том100
Номер выпуска3
DOI
СостояниеОпубликовано - ноя 2019

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