Notice of Retraction A Fourth-order compact finite alternating direction implicit difference scheme for the unsteady streamfunction-vorticity formulation of the Navier-StokesB/Boussinesq equations

作者: Yan Wang , J. S. Wang

DOI: 10.1109/ICCASM.2010.5619039

关键词:

摘要: A Fourth-order compact finite alternating direction implicit difference scheme on the nine-points 2D stencil is formulated for solving unsteady-state streamfunction-vorticity formulation of Navier-Stokes/Boussinesq(N-S/B) equations. The unconditional stable numerical method provided by method. Numerical solutions are obtained model problem natural convection in a square cavity with benchmark and compared some accurate results available literature.

参考文章(9)
S.C.R Dennis, J.D Hudson, Compact h4 finite-difference approximations to operators of Navier-Stokes type Journal of Computational Physics. ,vol. 85, pp. 390- 416 ,(1989) , 10.1016/0021-9991(89)90156-3
Swarnendu Sen, A. Sarkar, Finite element solution of steady natural convection equations by a false diffusion method Communications in Numerical Methods in Engineering. ,vol. 10, pp. 845- 856 ,(1994) , 10.1002/CNM.1640101011
Zhenfu Tian, Yongbin Ge, A fourth‐order compact finite difference scheme for the steady stream function–vorticity formulation of the Navier–Stokes/Boussinesq equations International Journal for Numerical Methods in Fluids. ,vol. 41, pp. 495- 518 ,(2003) , 10.1002/FLD.444
Joshua Y. Choo, D. H. Schultz, A stable high-order method for the heated cavity problem International Journal for Numerical Methods in Fluids. ,vol. 15, pp. 1313- 1332 ,(1992) , 10.1002/FLD.1650151106
M. Hortmann, M. Perić, G. Scheuerer, Finite volume multigrid prediction of laminar natural convection: Bench-mark solutions International Journal for Numerical Methods in Fluids. ,vol. 11, pp. 189- 207 ,(1990) , 10.1002/FLD.1650110206
G. De Vahl Davis, Natural convection of air in a square cavity: A bench mark numerical solution International Journal for Numerical Methods in Fluids. ,vol. 3, pp. 249- 264 ,(1983) , 10.1002/FLD.1650030305
G. De Vahl Davis, I. P. Jones, Natural convection in a square cavity: A comparison exercise International Journal for Numerical Methods in Fluids. ,vol. 3, pp. 227- 248 ,(1983) , 10.1002/FLD.1650030304