The Application of Domain Decomposition to Time-Domain Computations of Nonlinear Water Waves with a Panel Method

Nevertheless, at present there is still a need to reduce the computational costs of a BEM. Moreover, the straightIn this paper an iterative domain decomposition method for the solution of Laplace’s equation is described and its effectiveness in forward application of a BEM requires a computational time-domain computations of nonlinear water waves with a panel effort that depends approximately quadratically on the size method is investigated. An important aspect of these computations of the computational domain. This implies that for largeis the varying shape of the free surface. The convergence of the scale wave problems special numerical techniques are iterative method is fast and leads to a speedup of the computations in the aforementioned application. The domain decomposition needed. A technique suitable to solve these problems is method gives a considerable reduction of memory requirements. domain decomposition. Furthermore, it lends itself naturally for parallel computing. Q 1996 The domain decomposition method that we will describe Academic Press, Inc. here consists of a division of the computational domain into subdomains and of an iterative (coupling) procedure which generates a sequence of boundary conditions on the