A Fourth-order Compact Finite Alternating Direction Implicit Difference Scheme for the Unsteady Streamfunction-vorticity Formulation of the Navier-StokesB/Boussinesq Equations
A Fourth-order compact finite alternating direction implicit difference scheme on the nine-points 2D stencil is formulated for solving the unsteady-state streamfunction-vorticity formulation of the Navier-Stokes/Boussinesq(N-S/B) equations. The unconditional stable numerical method is provided by alternating direction implicit difference method. Numerical solutions are obtained for the model problem of natural convection in a square cavity with benchmark solutions and compared with some of the accurate results available in the literature.
navier-stokes/boussinesq equations streamfunction-vorticity formulation compact scheme alternating direction implicit method natural convection
Yan Wang J.S.Wang
Institute of Applied Mathematics & Engeneering Mechanics Yinchuan, Ningxia, China Ningxai Medical College Yinchuan, Ningxia, China
国际会议
太原
英文
316-319
2010-10-22(万方平台首次上网日期,不代表论文的发表时间)