Bayliss-Turkel-lilte radiation conditions on surfaces of arbitrary shape

This paper addresses the extension of the Bayliss-Turkel second-order radia tion condition to an arbitrarily shaped surface. The derivation is based ma inly on the pseudo-differential calculus as well as on the introduction of a criterion providing a precise handling of the approximation process invol ved in the derivation of the radiation condition. The radiation condition t hen ranges among the most accurate of those of order two. As a by-product o f the derivation, almost all known radiation conditions of order less than or equal to two are recovered and their respective accuracies are compared. (C) 1999 Academic Press.