This article is cited in 1 paper

Using the Sharp scheme of higher-order accuracy for solving some nonlinear hyperbolic systems of equations

A. V. Solov'ev, A. V. Danilin

Nuclear Safety Institute, Russian Academy of Sciences, Moscow

Abstract: The Sharp difference scheme of higher-order accuracy developed previously for solving the scalar one-dimensional transport equation is extended to the shallow water nonlinear systems and to the systems of Euler equations using the balance-characteristic approach. For these systems, a number of test problems are solved to illustrate the features of the solutions obtained by the described difference scheme.

Keywords: Cabaret method, Sharp scheme, hyperbolic equations, high-accuracy schemes.

UDC: 519.633.6

Received: 23.12.2018