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| The 5-point finite analytic schemes for laplace equation in irregular domains |
| Revised:July 24, 2003 |
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| DOI：10.7511/jslx20053057 |
| KeyWord:irregular domain,finite analytic method,laplace equation |
| HUAI Wen-xin~ |
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| Abstract: |
| Finite Analytic Method is one of the effective schemes for solving convection diffusion equation. In former studies, the irregular five-point boundary element is recasted into the nine-point element, allowing a regular structural grid system to be used to solve for the water flow in an irregular domain. This scheme can only be used to calculate the convection-diffusion equation. The new scheme of finite analytic method for Laplace equation in irregular domain is got by coordinate rotation technique in this paper. This method entails the nine-point element and five-point element such that it can simulate quite well the irregular flow domain without using boundary-fitted transformation. The seepage flow and the flow under sluice gate are simulated by this method. The calculated result fitted well with the experiment data in seepage flow. In the flow under sluice gate, the surface profiles of upstream and downstream are compared with results of the analytical solution and boundary-fitted transformation solution. |
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