TY - EJOU AU - Kakuda, Kazuhiko AU - Aiso, Tomohiro AU - Miura, Shinichiro TI - Incompressible Viscous Flow Simulations Using the Petrov-Galerkin Finite Element Method T2 - The International Conference on Computational \& Experimental Engineering and Sciences PY - 2007 VL - 4 IS - 1 SN - 1933-2815 AB - 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. KW - DO - 10.3970/icces.2007.004.011