The vorticity-stream function formulation of the two-dimensional incompressible Navier-Stokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions. The driven flow in a square cavity is used as the model problem. Solutions are obtained for configurations with Reynolds number as high as 10,000 and meshes consisting of as many as 257 × 257 points. For Re = 1000, the (129 × 129) grid solution required 1.5 minutes of CPU time on the AMDAHL 470 V/6 computer. Because of the appearance of one or more secondary vortices in the flow field, uniform mesh refinement was preferred to the use of one-dimensional grid-clustering coordinate transformations.
%0 Journal Article
%1 citeulike:4132320
%A Ghia, U.
%A Ghia, K. N.
%A Shin, C. T.
%D 1982
%J Journal of Computational Physics
%K 76m25-other-numerical-methods-in-fluid-mechanics 65n55-pdes-bvps-multigrid-methods-domain-decomposition 76m20-finite-difference-methods-in-fluid-mechanics
%N 3
%P 387--411
%R 10.1016/0021-9991(82)90058-4
%T High-Re Solutions for Incompressible Flow using the Navier-Stokes Equations and a Multigrid Method
%U http://dx.doi.org/10.1016/0021-9991(82)90058-4
%V 48
%X The vorticity-stream function formulation of the two-dimensional incompressible Navier-Stokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions. The driven flow in a square cavity is used as the model problem. Solutions are obtained for configurations with Reynolds number as high as 10,000 and meshes consisting of as many as 257 × 257 points. For Re = 1000, the (129 × 129) grid solution required 1.5 minutes of CPU time on the AMDAHL 470 V/6 computer. Because of the appearance of one or more secondary vortices in the flow field, uniform mesh refinement was preferred to the use of one-dimensional grid-clustering coordinate transformations.
@article{citeulike:4132320,
abstract = {{The vorticity-stream function formulation of the two-dimensional incompressible Navier-Stokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions. The driven flow in a square cavity is used as the model problem. Solutions are obtained for configurations with Reynolds number as high as 10,000 and meshes consisting of as many as 257 × 257 points. For Re = 1000, the (129 × 129) grid solution required 1.5 minutes of CPU time on the AMDAHL 470 V/6 computer. Because of the appearance of one or more secondary vortices in the flow field, uniform mesh refinement was preferred to the use of one-dimensional grid-clustering coordinate transformations.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Ghia, U. and Ghia, K. N. and Shin, C. T.},
biburl = {https://www.bibsonomy.org/bibtex/2a1c14eb21be3616724ad1652448310a3/gdmcbain},
citeulike-article-id = {4132320},
citeulike-attachment-1 = {ghia_82_high.pdf; /pdf/user/gdmcbain/article/4132320/994936/ghia_82_high.pdf; 211b45b6a06336a72ca064a6e59b14ebc520211c},
citeulike-linkout-0 = {http://dx.doi.org/10.1016/0021-9991(82)90058-4},
doi = {10.1016/0021-9991(82)90058-4},
file = {ghia_82_high.pdf},
interhash = {8b505d2c1df4fe135c984dca5e93cdb0},
intrahash = {a1c14eb21be3616724ad1652448310a3},
issn = {00219991},
journal = {Journal of Computational Physics},
keywords = {76m25-other-numerical-methods-in-fluid-mechanics 65n55-pdes-bvps-multigrid-methods-domain-decomposition 76m20-finite-difference-methods-in-fluid-mechanics},
month = dec,
number = 3,
pages = {387--411},
posted-at = {2014-11-20 02:19:01},
priority = {2},
timestamp = {2019-04-02T01:45:09.000+0200},
title = {High-{R}e Solutions for Incompressible Flow using the {N}avier-{S}tokes Equations and a Multigrid Method},
url = {http://dx.doi.org/10.1016/0021-9991(82)90058-4},
volume = 48,
year = 1982
}