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

O. Czygan; O. von Estorff

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

机译：轴对称系统瞬态标量波方程的解析基本解

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摘要

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.

机译：本文针对轴对称标量波传播问题提出了一种新的时域基本解。结果是一个解析表达式，与迄今为止已知的数值积分程序相比，该表达式可以更准确地用于边界元素配方中。显示了考虑到轴对称性所需的3D基本解决方案的周向集成，并给出了两个示例，以证明新配方的准确性和适用性。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2003年第34期|p.3657-3671|共15页
作者
O. Czygan; O. von Estorff;
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作者单位

Mechanics and Ocean Engineering, Technical University Hamburg-Harburg, Eissendorfer Str. 42, D-21073 Hamburg, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
time-domain BEM; scalar wave equation; axisymmetry; analytical fundamental solution;

机译：时域边界元;标量波动方程;轴对称;解析基础解;

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

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