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ABSTRACT

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

Kazuhiko Kakuda1, Tomohiro Aiso1, Shinichiro Miura2

Department of Mathematical Information Engineering, College of Industrial Technology, Nihon University, Chiba 275-8575, Japan E-mail:k7kakuda@cit.nihon-u.ac.jp
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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APA Style
Kakuda, K., Aiso, T., Miura, S. (2007). Incompressible viscous flow simulations using the petrov-galerkin finite element method. The International Conference on Computational & Experimental Engineering and Sciences, 4(1), 11-18. https://doi.org/10.3970/icces.2007.004.011
Vancouver Style
Kakuda K, Aiso T, Miura S. Incompressible viscous flow simulations using the petrov-galerkin finite element method. Int Conf Comput Exp Eng Sciences . 2007;4(1):11-18 https://doi.org/10.3970/icces.2007.004.011
IEEE Style
K. Kakuda, T. Aiso, and S. Miura, “Incompressible Viscous Flow Simulations Using the Petrov-Galerkin Finite Element Method,” Int. Conf. Comput. Exp. Eng. Sciences , vol. 4, no. 1, pp. 11-18, 2007. https://doi.org/10.3970/icces.2007.004.011



cc Copyright © 2007 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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