کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
510800 | 865791 | 2009 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On pressure–velocity coupled time-integration of incompressible Navier–Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique On pressure–velocity coupled time-integration of incompressible Navier–Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique](/preview/png/510800.png)
Two fully pressure–velocity coupled approaches to time-integration of two- and three-dimensional Navier–Stokes equations discretized by finite volume method are proposed and verified. The first approach utilizes a direct sparse matrix solver to inverse the Stokes operator. In the second approach a multigrid iterative solver is accelerated by a modification of CLGS smoother that allows for derivation of an analytical solution for velocity and pressure corrections belonging to a whole row or column of finite volumes. Both approaches are tested by two- and three-dimensional natural convection benchmark problems. It is concluded that the analytical solution accelerated CLGS technique (ASA-CLGS) can be considered as a promising tool for solution of time-dependent three-dimensional fluid dynamics problems.
Journal: Computers & Structures - Volume 87, Issues 11–12, June 2009, Pages 710–720