DOI: https://doi.org/10.26089/NumMet.v20r442

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

Authors

  • A.V. Danilin
  • A.V. Solovjev

Keywords:

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

Abstract

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.

New computational technologies

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Published

2020-01-11

Issue

Vol. 20 (2019): Issue 4.

Section

Section 1. Numerical methods and applications

Author Biographies

A.V. Danilin

Nuclear Safety Institute (IBRAE) of RAS
• Junior Researcher

A.V. Solovjev

Nuclear Safety Institute (IBRAE) of RAS
• Leading Researcher

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