A modification of the CABARET scheme for resolving the sound points in gas flows





systems of hyperbolic equations, CABARET scheme, computational fluid dynamics (CFD), conservative methods, sound points, rarefaction shock waves


An explicit numerical algorithm for resolving the sound points in the framework of the CABARET scheme is proposed. The sound points are characterized by a sign change in at least one of characteristic velocities. The flows in mesh nodes corresponding to sound points are calculated by solving the Riemann problem. This approach is successfully tested on a problem with sound transitions on rarefaction waves, on a problem with two diverging supersonic flows, and on a problem with supersonic flow over a forward facing step.

Author Biographies

A.V. Danilin

A.V. Solovjev


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How to Cite

Данилин А.В., Соловьев А.В. A Modification of the CABARET Scheme for Resolving the Sound Points in Gas Flows // Numerical methods and programming. 2020. 20. 481-488. doi 10.26089/NumMet.v20r442



Section 1. Numerical methods and applications