Abstract
A scheme of integration is presented for the equations of multi-dimensional waves generated from impulsive sources. The described technique is for linear hyperbolic partial differential equations governing the deformation of an acoustic medium in two- space and time independent variables. The algorithm consists of a new method which evaluates the unknown variables along the abrupt leading wave and then couples this impulsive generator to the motion behind it. The unknowns along the leading wave are resolved by means of kinematic and dynamic conditions existing across this wave. The entire multi-dimensional solution domain is then linked to the leading wave by the method of characteristics. To illustrate the approach, a problem consisting of a line load suddenly applied on a linear acoustic half-space is solved.
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