Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9662296 | Computers & Mathematics with Applications | 2005 | 14 Pages |
Abstract
We consider the numerical approximations of the two-dimensional steady potential flow around a body moving in a liquid of finite-constant depth at constant speed and distance below a free surface. One vertical segment is introduced as the upstream artificial boundary and two vertical segments are introduced as the downstream artificial boundaries. On the artificial boundaries, a sequence of high-order global artificial boundary conditions are given. Then, the original problem is reduced to a problem defined on a finite-computational domain, which is equivalent to a variational problem. After solving the variational problem by the finite-element method, we obtain the numerical approximation of the original problem. The numerical examples show that the artificial boundary conditions given in this paper are very effective.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Houde Han, Xin Wen,