DOI: https://doi.org/10.26089/NumMet.v24r212

Explicit-implicit scheme CABARETI–NH for the equations of a weakly compressible fluid dynamics

Authors

  • Vasily M. Goloviznin
  • Petr A. Maiorov
  • Nikita A. Afanasiev
  • Pavel A. Maiorov
  • Andrey V. Solovjev

Keywords:

non-hydrostatic model
Eulerian-Lagrangian coordinates
weakly compressible fluid
hyperbolic type equations
free-surface
conservative-characteristic schemes

Abstract

In this paper, an explicit-implicit conservative-characteristic scheme CABARETI–NH (CABARET Implicit Non-Hydrostatic), based on the CABARET scheme, for a hyperbolised system of Navier–Stokes equations is considered. Implicitness along one spatial direction allows the time step on computational grids with a large aspect ratio of cells to be significantly increased. A hyperbolic sweep method is used to resolve the introduced implicit part of the scheme. This keeps the same level of computational efficiency as explicit schemes. The results of model validation on the laboratory experiment of three-dimensional gravitational flow of a stratified fluid are presented.

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Published

2023-04-14

Issue

Vol. 24 (2023): Issue 2.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

Vasily M. Goloviznin

Lomonosov Moscow State University,
Faculty of Computational Mathematics and Cybernetics
• Head of Laboratory

Petr A. Maiorov

Lomonosov Moscow State University,
Faculty of Computational Mathematics and Cybernetics
• Mathematician

Nikita A. Afanasiev

Lomonosov Moscow State University,
Faculty of Computational Mathematics and Cybernetics
• Assistant

Pavel A. Maiorov

Lomonosov Moscow State University,
Faculty of Computational Mathematics and Cybernetics
• Mathematician

Andrey V. Solovjev

Nuclear Safety Institute (IBRAE) of RAS
• Leading Researcher

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Copyright (c) 2023 В. М. Головизнин, Петр А. Майоров, Н. А. Афанасьев, Павел А. Майоров, А. В. Соловьев

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