Open Access

ABSTRACT

Incompressible Viscous Flow Simulations Using the Petrov-Galerkin Finite Element Method

by Kazuhiko Kakuda¹, Tomohiro Aiso¹, Shinichiro Miura²

1 Department of Mathematical Information Engineering, College of Industrial Technology, Nihon University, Chiba 275-8575, Japan E-mail:k7kakuda@cit.nihon-u.ac.jp
2 Department of Mechanical Engineering, Tokyo Metropolitan College of Technology, Tokyo 140 - 011, Japan

The International Conference on Computational & Experimental Engineering and Sciences 2007, 4(1), 11-18. https://doi.org/10.3970/icces.2007.004.011

Abstract

The applications of a finite element scheme to three-dimensional incompressible viscous fluid flows are presented. The scheme is based on the Petrov-Galerkin weak formulation with exponential weighting functions. The incompressible Navier-Stokes equations are numerically integrated in time by using a fractional step strategy with second-order accurate Adams-Bashforth scheme for both advection and diffusion terms. Numerical solutions for flow around a circular cylinder and flow around a railway vehicle in a tunnel are presented.

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