Parallel computing for incompressible flow using a Nodal-Based method

Abstract In this paper, the development of a seamless system for parallel flow analysis using the “free-mesh method”, which is a kind of meshless method, is described. The system consists of two main parts: the computation of the global mass, advection, diffusion, gradient, and divergence matrices, and the time integration by the decoupled method with respect to velocity and pressure. This system is quite compatible with the parallel environment because the matrices are independently computed node-by-node without any node-element connectivity information, and furthermore because the fractional step method, with the interpolation functions for velocity and pressure being of equal order, is used with the conjugate gradient solver for the time integration. A parallel efficiency of approximately 83 was achieved for a large-scale problem with 480,000 degrees of freedom using 16 processors.