Numerical method for Oseen's linearized equations in three-dimensional exterior domains
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
A fundamental solution method for viscous flow problems with obstacles in a periodic array
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A multilayer method of fundamental solutions for Stokes flow problems
Journal of Computational Physics
| Hi-index | 7.30 |
In this paper, we propose a fundamental solution method for three-dimensional viscous flow problems with obstacles in a periodic array. Our problem is mathematically a boundary value problem of the Stokes equation with periodic boundary conditions, to which it is difficult to give a good approximation by the ordinary fundamental solution method. Our method gives an approximate solution by a linear combination of the periodic fundamental solutions. In addition, we can compute the drag forces on the obstacles by using the data obtained in our method. Numerical examples for the problems of flows past spheres show the effectiveness of our method.