NUMERICAL-SOLUTIONS OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS BY GENERALIZED DIFFERENTIAL QUADRATURE

作者:SHU C*; KHOO BC; YEO KS
来源:Finite Elements in Analysis and Design, 1994, 18(1-3): 83-97.
DOI:10.1016/0168-874X(94)90093-0

摘要

The global method of differential quadrature, (DQ) which discretizes a spatial derivative in a physical domain by a weighted 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.

  • 出版日期1994-12