On CABARET scheme for incompressible fluid flow problems with a free surface

This paper proposes a new approach for the solution of problems of interaction of vortex structures with a free surface. The second-order accuracy finite-difference scheme based on the famous CABARET scheme is suggested for incompressible viscous fluid with a free surface. In the case of incompressible fluid the CABARET technique solves to further the task of solenoidal velocity field. Decision task involves decisions regarding the variable pressure SLOUGH and subsequent accounting pressure gradient in the calculation of the equations of motion. The decision of SLOUGH is a separate joint problem, which is not included in the description of the method of the CABARET in this paper the authors cite only the statement of the problem without specifying a particular method of solving systems of linear equations.