Legendre Tau Method for the 2-D Stokes Problem

  • Jun, SeRan (Department of Mathematics Pohang University of Science and Technology) ;
  • Kang, Sungkwon (Department of Mathematics Chosun University) ;
  • Kwon, YongHoon (Department of Mathematics Pohang University of Science and Technology)
  • Published : 2000.12.31

Abstract

A Legendre spectral tau approximation scheme for solving the two-dimensional stationary incompressible Stokes equations is considered. Based on the vorticity-stream function formulation and variational forms, boundary value and normal derivative of vorticity are computed. A factorization technique for matrix stems based on the Schur decomposition is derived. Several numerical experiments are performed.

Acknowledgement

Supported by : Chosun University