论文标题
基本解决方案的方法是双周期势流问题
Method of fundamental solutions for the problem of doubly-periodic potential flow
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，以解决双周期域中二维电位流的问题。该解决方案涉及双周期功能，很难通过常规的基本溶液方法给出近似值。我们建议通过周期性基本溶液的线性组合近似它，即使用Theta函数构建的双周期阵列中的复杂对数电势与源的复杂对数电势。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 problem of two-dimensional potential flow in a doubly-periodic domain. The solution involves a doubly-periodic function, to which it is difficult to give an approximation by the conventional method of fundamental solutions. We propose to approximate it by a linear combination of the periodic fundamental solutions, that is, complex logarithmic potential with sources in a doubly-periodic array constructed using the theta functions. Numerical examples show the effectiveness of our method.
