Abstract
The scaled boundary finite-element method is a novel semi-analytical technique for solving the linear partial differential equation. The method discretizes the governing equation only on the boundary of the computational domain. Comparing with the finite-element method, the method reduces the spatial dimension by one, and the analytical procedure is applied at the reduced direction instead. Comparing with the boundary element method, the scaled boundary finite-element needs not the fundamental solution and thus no singular integrals must be evaluated. So the scaled boundary finite-element combines the advantages of the finite-element method and the boundary element method. A numerical model of the scaled boundary finite-element method is established to solve the three-dimensional Laplace equation in this paper, and further the flow around an obstacle is computed by this method. The numerical solutions are compared to the analytical ones and those from a boundary element method. The comparisons show that the present method can well simulate the flow field, and its accuracy is high.
| Original language | English |
|---|---|
| Pages (from-to) | 301-306 |
| Number of pages | 6 |
| Journal | Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics |
| Volume | 23 |
| Issue number | 3 |
| Publication status | Published - Jun 2006 |
| Externally published | Yes |
Keywords
- Laplace equation
- Potential flow
- Scaled boundary finite-element method