Simulation of Body Motion in Viscous Incompressible Fluid

The paper presents a description of a method for simulation of the motion of bodies in viscous incompressible fluid with the use of a technique of computation on overset grids (“chimera” technique). Equations describing the flow of viscous incompressible fluid are approximated by the finite volume method on an arbitrary unstructured grid. Their iterative solution is implemented using the algorithm SIMPLE. This paper describes the basic equations in the case of moving grid. The features of implementation of grid boundary conditions that are set in the course of construction of interpolation pattern are described. A method for overcoming numerical instability when a solid body model is used is demonstrated. The specificity of taking into account the forces of gravitation in the presence of multiphase media is described. The results of solving the problem of motion of cylinder in fluid, fall of sphere into fluid, and flooding of a ship's model are presented.