Parallel algorithm for numerical simulation of 3D incompressible flows

Abstract

This chapter discusses the parallel algorithm for the numerical simulation of 3D incompressible flows. It describes the algorithm for numerical simulation of unsteady viscous incompressible flow in 3D rectangular computational domain. The algorithm is implemented on the claster parallel computer system. Parallel computation of Poisson's equation is discussed in detail. The possibility of this approach is investigated in the numerical simulation of the 3D stationary flow in cubic cavity with the upper moving wall. The problem of fluid motion in a cavity is a well-known and demanding benchmark test used to validate numerical techniques for flow simulations and in evaluating their efficiency. Numerical simulation of three-dimensional unsteady flows is a promising area of modern computational fluid dynamics. Multidimensional simulations of viscous incompressible flows became possible owing to the progress in numerical methods for computing such flows in terms of the so-called natural variables and to the high performance of multiprocessor computers.