DIFFRACTION OF PULSES BY OBSTACLES OF ARBITRARY SHAPE WITH A ROBIN BOUNDARY CONDITION. PART A. SEMI-RIGID CASE.
STATE UNIV OF NEW YORK BUFFALO DIV OF INTERDISCIPLINARY STUDIES AND RESEARCH
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The potential field and its derivatives pressure and velocity resulting from the diffraction of a plane acoustic pulse by an obstacle of arbitrary shape with a Robin boundary condition, is obtained as the solution to an integro-differential equation. The specific geometry of a long cylinder with a square cross section struck longitudinally by a plane pulse is solved for values of the pressure on the scattering surface for the semi-rigid case K 1. A major portion of the solution is obtained exactly. The remainder involves a numerical approximation of a surface integral by a double summation over specified steps in space and time leading to a weakly coupled set of simultaneous equations at eact time step. Comparison with available exact solutions indicates good agreement. Author