The artificial boundary conditions for computing the flow around a submerged body

In this paper we consider the numerical simulations of the steady linearize d potential Row around a body which moves in a liquid of finite constant de pth at constant speed and distance below a free surface. Two vertical segme nts are introduced as the artificial boundary to limit the unbounded physic al domain to a bounded computational domain. A series of approximate artifi cial boundary conditions at the given artificial boundary are designed by i mposing the continuity of the solution and its normal derivative. Then the original problem is reduced to a problem defined in a bounded computational domain, which is solved numerically by the finite element method. The nume rical examples show that our artificial boundary conditions are very effect ive. (C) 2000 Elsevier Science S.A. All rights reserved.