Diffraction of Pulses by Cylindrical Obstacles of Arbitrary Cross Section

Abstract

The two-dimensional problem of the diffraction of a plane acoustic shock wave by a cylindrical obstacle of arbitrary cross section is considered. An integral equation for the surface values of the pressure is formulated. A major portion of the solution is shown to be contributed by terms in the integral equation which can be evaluated explicitly for a given cross section. The remaining contribution is approximated by a set of successive, nonsimultaneous algebraic equations which are easily solved for a given geometry. The case of a square box with rigid boundaries is solved in this manner for a period of one transit time. The accuracy achieved by the method is indicated by comparison with known analytical solutions for certain special geometries.

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature

“…[15]), their use was unpopular for a long time due to the need to deal with distributional fundamental solutions and due to stability problems of the resulting implementations. More recent numerical methods have overcome these stability issues.…”

Time Domain Boundary Element Methods for the Neumann Problem: Error Estimates and Acoustic Problems

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Numerical treatment of retarded boundary integral equations by sparse panel clustering

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