Development of a local MQ-DQ-based stencil adaptive method and its application to solve incompressible Navier-Stokes equations

Abstract

In this paper, a local stencil adaptive method is presented, which is designed for solving computational fluid dynamics (CFD) problems with curved boundaries accurately. A local multiquadric-differential quadrature (MQ-DQ) method is used to discretize the governing equations, taking advantage of its meshless nature. The present method bears the properties of both local MQ-DQ method and local stencil adaptive method and is thus named the local MQ-DQ-based stencil adaptive method. Two test problems with curved boundaries are solved to investigate the performance of this solution-adaptive method. The numerical results indicate that the proposed method is effective and efficient by combining the advantages of meshless property for complex geometries and local adaptation for accuracy improvement. Copyright © 2007 John Wiley & Sons, Ltd.