论文标题
使用WeierStrass椭圆函数的双周期电势流问题的基本解决方案的方法
A method of fundamental solutions for doubly-periodic potential flow problems using the Weierstrass elliptic function
论文作者
论文摘要
在本文中，我们提出了一种基本解决方案的方法，以解决二维电位流出的问题，这是多个障碍阵列的二维势。这些问题的解决方案涉及双周期功能，很难应用基本解决方案的常规方法来近似它们。我们提出的方法给出了近似解决方案，该解决方案通过使用WeierStrass椭圆函数构建的周期性基本解决方案的线性组合表示，并且满足了我们期望的周期性。数值示例显示了我们方法的有效性。
In this paper, we propose a method of fundamental solutions for the problems of two-dimensional potential flow past a doubly-periodic array of obstacles. The solutions of these problems involve doubly-periodic functions, and it is difficult to apply the conventional method of fundamental solutions to approximate them. The method that we propose gives approximate solutions which is expressed by a linear combination of periodic fundamental solutions constructed using the Weierstrass elliptic functions, and it satisfies the periodicity that we expect. Numerical examples show the effectiveness of our method.
