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


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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.

Sobre autores

V. Gushchin

Institute for Computer Aided Design, Russian Academy of Sciences

Autor responsável pela correspondência
Email: gushchin47@mail.ru
Rússia, Moscow

V. Kondakov

Nuclear Safety Institute, Russian Academy of Sciences

Autor responsável pela correspondência
Email: kondakov@ibrae.ac.ru
Rússia, Moscow

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