Consistent Petrov–Galerkin finite element simulation of channel flows

✍ Scribed by Tony W.H. Sheu; S.F. Tsai

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 178 KB
• Volume: 31
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19991230)31:8<1297::aid-fld925>3.0.co;2-4

✦ Synopsis

In this paper, Navier -Stokes fluid flows in curved channels are considered. Upstream of the backwardfacing 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.