An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
作者： Karol Z. Korczak , Anthony T. Patera
DOI: 10.1016/0021-9991(86)90134-8
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摘要: … Note our discussion of the discrete incompressibility condition is only in the context of the Euler problem; our splitting scheme for the Stokes problem results in significant “error” in the …
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François Thomasset, Implementation of finite element methods for Navier-Stokes equations ,(1981)
David Gottlieb, Steven A. Orszag, Numerical Analysis of Spectral Methods Society for Industrial and Applied Mathematics. ,(1977) , 10.1137/1.9781611970425
Roger Peyret, Thomas D. Taylor, Computational methods for fluid flow ,(1982)
A Mc Kerrell, C Phillips, L.M Delves, Chebyshev expansion methods for the solution of elliptic partial differential equations Journal of Computational Physics. ,vol. 41, pp. 444- 452 ,(1981) , 10.1016/0021-9991(81)90105-4
Steven A. Orszag, Lawrence C. Kells, Transition to turbulence in plane Poiseuille and plane Couette flow Journal of Fluid Mechanics. ,vol. 96, pp. 159- 205 ,(1980) , 10.1017/S0022112080002066
Gilbert Strang, George J. Fix, D. S. Griffin, An Analysis of the Finite Element Method ,(1973)
Anthony T Patera, A spectral element method for fluid dynamics: Laminar flow in a channel expansion Journal of Computational Physics. ,vol. 54, pp. 468- 488 ,(1984) , 10.1016/0021-9991(84)90128-1
R.S. Rivlin, Some recent results on the flow of non-Newtonian fluids Journal of Non-newtonian Fluid Mechanics. ,vol. 5, pp. 79- 101 ,(1979) , 10.1016/0377-0257(79)85005-3
R. L. Sani, P. M. Gresho, R. L. Lee, D. F. Griffiths, The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier‐Stokes equations: Part 2 International Journal for Numerical Methods in Fluids. ,vol. 1, pp. 17- 43 ,(1981) , 10.1002/FLD.1650010104
J. Donea, S. Giuliani, K. Morgan, L. Quartapelle, The significance of chequerboarding in a Galerkin finite element solution of the Navier-Stokes equations International Journal for Numerical Methods in Engineering. ,vol. 17, pp. 790- 795 ,(1981) , 10.1002/NME.1620170511