Abstract
A boundary integral method for the solution of a time-dependent free-boundary problem in a two-dimensional, multiply-connected, exterior domain is described. The method is based on an iterative solution of the resulting integral equations at each time step, with the initial guesses provided by extrapolation from previous time steps. The method is related to a technique discussed by Baker for the study of water waves. The discretization is chosen so that the solvability conditions required for the exterior Dirichlet problem do not degrade the convergence rate of the iterative solution procedure. Consideration is given to the question of vectorizing the computation. The method is applied to the problem of the coarsening of two-dimensional particles by volume diffusion.
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McFadden, G.B., Voorhees, P.W., Boisvert, R.F. et al. A boundary integral method for the simulation of two-dimensional particle coarsening. J Sci Comput 1, 117–144 (1986). https://doi.org/10.1007/BF01061389
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DOI: https://doi.org/10.1007/BF01061389