Abstract. We propose a method of fundamental solutions for two-dimensional potential problems, especially potential flow problems, with double periodicity. It is difficult to approximate the solution of these problems by the conventional method because the solution involves a periodic function. In our method, the solution is approximated by a linear combination of the periodic potentials, which is constructed using the Weierstrass elliptic functions. Our method inherits the advantanges of the conventional method, and, furthermore, it has the periodicity of the exact solution. Numerical examples show the effectiveness of our method.
Abstract. Siltfence is a curtain-like structure to prevent the spread of suspended pollutants generated by constructions in rivers or coasts, and its shape deforms horizontally and vertically. In this paper, we propose a modeling method to simulate the siltfence deformed in the two directions by coupling with water flow dynamics. We preform numerical simulations on a siltfence installed in flume using the proposed method, and we confirm its validity by comparing between the simulation and flume experiment.