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An analytical fundamental solution of the transient scalar wave equation for axisymmetric systems

โœ Scribed by O. Czygan; O. von Estorff


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
236 KB
Volume
192
Category
Article
ISSN
0045-7825

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โœฆ Synopsis


In the present paper a new time-domain fundamental solution for axisymmetric scalar wave propagation problems is developed. The result is an analytical expression which can be used in boundary element formulations in a more accurate way than the numerical integration procedures known so far. The circumferential integration of the 3D fundamental solution, necessary to take into account the axisymmetry, is shown and two examples are presented in order to demonstrate the accuracy and the applicability of the new formulation.


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New families of radiation boundary operators are proposed for ยฎnite element simulations of wave propagation problems characterized by the scalar wave equation. These operators have the form Bu j1 Cu j ; j 1; 2; . . . ; J ; where B is the Dirichlet, Neumann, or the Robin operator, and C is an appropr