Numerical solutions of incompressible Navier-Stokes equations by generalized differential quadrature

Abstract

The global method of differential quadrature (DQ) which discretizes a spatial derivative in a physical domain by a weighter linear sum of all the functional values in the whole domain, was extended to a general case. The weighting coefficients in the generalized differential quadrature (GDQ) are given by a simple algebraic formulation or by a recurrence relationship without any restriction on choice of grid points. Application of GDQ to solve incompressible Navier-Stokes equations demonstrated that accurate numerical results can be obtained by using just a few grid points. Furthermore, a multi-domain GDQ scheme was also developed for the simulation of flows around complex geometries. © 1994.