A MULTIGRID-ACCELERATED THREE-DIMENSIONAL TRANSIENT-FLOW CODE AND ITS APPLICATION TO A NEW TEST PROBLEM |
| |
Authors: | KUMAR D Santhosh DASS Anoop K DEWAN Anupam |
| |
Affiliation: | [1]School of Mechanical and Building Science, Vellore Institute of Technology, Vellore-632014, India [2]Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati-781039, India [3]Department of Applied Mechanics, Indian Institute of Technology Delhi Hauz Khas, New Delhi- 110016, India |
| |
Abstract: | A multigrid-assisted solver for the three-dimensional time-dependent incompressible Navier-Stokes equations on graded Cartesian meshes is developed. The spatial accuracy is third-order for the convective terms and fourth-order for the viscous terms, and a fractional-step strategy ensures second-order time accuracy. To achieve good time-wise efficiency a multigrid technique is used to solve the highly time-consuming pressure-Poisson equation that requires to be solved at every time step. The speed-up achieved by multigrid is shown in tabular form. The performance and accuracy of the code are first ascertained by computing the flow in a single-sided lid-driven cubic cavity with good grid-economy and comparing the results available in the literature. The code, thus validated, is then applied to a new test problem we propose and various transient and asymptotically obtained steady-state results are presented. Given the care taken to establish the credibility of the code and the good spatio-temporal accuracy of the discretization, these results are accurate and may be used for ascertaining the performance of any computational algorithm applied to this test problem. |
| |
Keywords: | incompressible flows three-dimensional cavity flow fractional-step method multigrid method Taylor-Gorier-Like (TGL) vortices grid transformation |
本文献已被 维普 万方数据 ScienceDirect 等数据库收录! |
|