Method of fundamental solutions for the problem of doubly-periodic potential flow

06/23/2020

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by   Hidenori Ogata, et al.

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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, which has sources in a doubly-periodic array and contains the complex logarithmic functions and the theta functions. Numerical examples show the effectiveness of our method.