%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 }