A CHARGE SIMULATION METHOD FOR SPATIALLY PERIODIC PROBLEMS

We present here a charge simulation method for problems of two-dimensional flows past obstacles in a two-dimensional periodic array. Our problem is mathematically a boundary value problem of the Stokes equation with periodic boundary conditions, to which it is difficult to give a good approximation by the ordinary charge simulation method. We propose a charge simulation method for our problem based on the periodic fundamental solution obtained by Hasimoto. In our method, the solution is approximated by using a linear combination of the periodic fundamental solutions.