CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2006, Vol. 23 ›› Issue (1): 10-18.

Previous Articles     Next Articles

A Linearized Differential Quadrature Method for Navier-Stokes Equations in the Streamfunction and Vorticity Form

LI Chen, WU Xiong-hua   

  1. Department of Applied Mathematics, Tongji University, Shanghai 200092, China
  • Received:2004-07-20 Revised:2005-03-15 Online:2006-01-25 Published:2006-01-25
  • Supported by:
    Supported by the National Natural Science Foundation of China(10171078)

Abstract: A new linearized differential quadrature method(LDQM) is applied to the unsteady Navier-Stokes equations in the stream-function and vorticity form. With LDQM nonlinear equations are solved easily. And the boundary conditions of ω can be expressed as a function of ψ. To verify the method, three examples are treated. Numerical results show that the method is of high accuracy and good convergence.

Key words: Navier-Stokes equation, differential quadrature method, linearized

CLC Number: