The Coupling Approach of Boundary and Finite Element Methods to Incompressible Viscous Flow Problems
A coupling approach of the boundary element method and the finite element method for the incompressible viscous flow problems is presented. A domain involving an obstacle is divided into two subdomains. The subdomain involving an obstacle is assumed as an incompressible viscous flow, and the finite element method is applied to simulate the flow. The other is assumed to be a potential flow, and the boundary element method is applied to the flow field. Numerical results of the flow past a step demonstrate the applicability and effectiveness of our approach.
KeywordsFinite Element Method Boundary Element Method Pressure Field Potential Flow Interface Boundary
Unable to display preview. Download preview PDF.
- Thomasset, F. (1981). Implementation of Finite Element Methods for Navier-Stokes Equations, Springer-Verlag.Google Scholar
- Brebbia, C. A., Telles, T. C. F. and Wrobel, L. C. (1984). Boundary Element Techniques, Springer-Verlag.Google Scholar
- Zienkiewicz, O. C., Kelly, D. W. and Bettess, P. (1977). The Coupling of the Finite Element Method and Boundary Solution Procedures, Int. J. Num. Meths. Engng., Vol. 11, 355–375.Google Scholar
- Wendland, W. L. (1988). On Asymptotic Error Estimates for Combined BEM and FEM, (Eds., Stein, E. /Wendland, W. L. ) Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View, Springer-Verlag.Google Scholar
- Kakuda, K and Tosaka, N. (1991). Numerical Analysis of Incompressible Viscous Flow Problems by the Petrov-Galerkin Finite Element Method Using Exponential Functions, (in Japanese) Proc. Symp. on Computational Methods in Structural Engineering and Related Fields, Vol. 15, 11–16.Google Scholar