TY - JOUR

T1 - Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws

AU - Kovyrkina, O. A.

AU - Ostapenko, V. V.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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.

AB - 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.

KW - discontinuous waves

KW - hyperbolic system of conservation laws

KW - monotonicity of CABARET scheme

KW - shallow water theory

KW - CHANGING CHARACTERISTIC FIELD

KW - SHOCKS

UR - http://www.scopus.com/inward/record.url?scp=85055103418&partnerID=8YFLogxK

U2 - 10.1134/S0965542518090129

DO - 10.1134/S0965542518090129

M3 - Article

AN - SCOPUS:85055103418

VL - 58

SP - 1435

EP - 1450

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 9

ER -