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Mathematical Models and Computer Simulations

Erschienen in:

01.07.2019

On the Cabaret Scheme for Incompressible Fluid Flow Problems with a Free Surface

verfasst von: V. A. Gushchin, V. G. Kondakov

Erschienen in: Mathematical Models and Computer Simulations | Ausgabe 4/2019

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Abstract

This paper proposes a new approach for solving problems of vortex structures’ interaction with a free surface. The second-order accuracy finite-difference scheme based on the well-known CABARET scheme is suggested for incompressible viscous fluid with a free surface. The CABARET method in the case of an incompressible medium additionally solves the problem of the velocity field’s solenoidation. Solving such a problem implies solving a system of linear equations with respect to the pressure variable and then taking the pressure gradient into account when calculating equations of motion. Solving the system of linear equations is a separate related problem that is not included in the description of the CABARET method, and this paper presents only the problem statement without specifying a specific method for solving the system.

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Titel: On the Cabaret Scheme for Incompressible Fluid Flow Problems with a Free Surface
verfasst von: V. A. Gushchin
V. G. Kondakov
Publikationsdatum: 01.07.2019
Verlag: Pleiades Publishing
Erschienen in: Mathematical Models and Computer Simulations / Ausgabe 4/2019
Print ISSN: 2070-0482
Elektronische ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048219040082

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