Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws

O. A. Kovyrkina, V. V. Ostapenko

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

Abstract: The monotonicity of the CABARET scheme for approximating a quasilinear hyperbolic system of conservation laws is investigated. The conditions are obtained under which this scheme is monotonicity-preserving with respect to the invariants of the linear approximation of the approximated system. The system of shallow water equations is considered as an example. The capabilities of the scheme in the computation of discontinuous solutions with shock waves are illustrated by test calculations of Riemann problems.

Язык оригиналаанглийский
Страницы (с-по)1435-1450
Число страниц16
ЖурналComputational Mathematics and Mathematical Physics
Том58
Номер выпуска9
DOI
СостояниеОпубликовано - 1 сен 2018

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