A multi-level boundary element method for Stokes flows in irregular two-dimensional domains |
| |
| Affiliation: | 1. Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences,Amirkabir University of Technology, No. 424 Hafez Avenue, Tehran, Iran;2. Department of Mathematics, Persian Gulf University, Bushehr, Iran;1. Department of Harbor and River Engineering & Computation and Simulation Center, National Taiwan Ocean University, Keelung 20224, Taiwan;2. Center of Excellence for Ocean Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan;3. Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan;4. School of Civil Engineering and Architecture, Nanchang University, 330031, China;5. Department of Mathematics, University of Southern Mississippi, USA |
| |
| Abstract: | Recently, we have developed multi-level boundary element methods (MLBEM) for the solution of the Laplace and Helmholtz equations that involve asymptotically decaying non-oscillatory and oscillatory singular kernels, respectively. The accuracy and efficiency of the fast boundary element methods for steady-state heat diffusion and acoustics problems have been investigated for square domains. The current work extends the MLBEM methodology to the solution of Stokes equation in more complex two-dimensional domains. The performance of the fast boundary element method for the Stokes flows is first investigated for a model problem in a unit square. Then, we consider an example problem possessing an analytical solution in a rectangular domain with 5:1 aspect ratio, and finally, we study the performance of the MLBEM algorithm in a C-shaped domain. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
