| 滕斌,赵明,何广华.三维势流场的比例边界有限元求解方法[J].计算力学学报,2006,23(3):301~306 |
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| 三维势流场的比例边界有限元求解方法 |
| Computation of potential flow around three-dimensional obstacles by a scaled boundary finite-element method |
| 修订日期：2004-04-02 |
| DOI：10.7511/jslx20063055 |
| 中文关键词: 比例边界有限元法 Laplace方程 势流 |
| 英文关键词:scaled boundary finite-element method,laplace equation,potential flow, |
| 基金项目:国家高技术研究发展计划(863计划) |
| 滕斌 赵明 何广华 |
| 大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024 |
| 摘要点击次数: 1511 |
| 全文下载次数: 8 |
| 中文摘要: |
| 比例边界有限元法（SBFEM）是线性偏微分方程的一种新的数值求解方法。该方法只对计算域边界利用Galerkin方法进行数值离散，相对于有限元方法（FEM）减少了一个空间坐标的维数。而在减少的空间坐标方向利用解析方法进行求解；相对于边界元法（BEM），比例边界有限元方法不需要基本解，避免了奇异积分的计算．所以它结合了有限元和边界元方法的优点。本文建立了利用比例边界有限元法求解三维Laplace方程的数值模型并用于计算三维物体周围的水流场，将计算结果与解析解和边界元方法进行了对比。结果表明此方法可以很好地模拟水流场。且具有较高的计算精度。 |
| 英文摘要: |
| 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. |
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