https://scholars.lib.ntu.edu.tw/handle/123456789/451813
Title: | Consistent Petrov-Galerkin finite element simulation of channel flows | Authors: | Sheu, T.W.H. Tsai, S.F. TONY W. H. SHEU |
Keywords: | Backward-facing step; Consistent Petrov-Galerkin; Quadratic elements | Issue Date: | 1999 | Journal Volume: | 31 | Journal Issue: | 8 | Start page/Pages: | 1297-1310 | Source: | International Journal for Numerical Methods in Fluids | Abstract: | In this paper, Navier-Stokes fluid flows in curved channels are considered. Upstream of the backward-facing step, there exists a channel with a 90° bend and a fixed curvature of 2.5. The purpose of conducting this study was to apply a finite element code to study the effect of the distorted upstream velocity profile developing over the bend on laminar expansion flows behind the step. The size of the eddies formed downstream of the step is addressed. The present work employs primitive velocities, which stagger the pressure working variable, to assure satisfaction of the inf-sup stability condition. In quadratic elements, spatial derivatives are approximated within the consistent Petrov-Galerkin finite element framework. Use of this method aids stability in the sense that artificial damping is solely added to the direction parallel to the flow direction. Through analytical testing, in conjunction with two other benchmark tests, the integrity of applying the computer code in quadratic elements is verified. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/451813 | DOI: | 10.1002/(SICI)1097-0363(19991230)31:8<1297 | SDG/Keyword: | channel flow; finite element analysis; flow analysis; inlet |
Appears in Collections: | 工程科學及海洋工程學系 |
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