TRANSIENT WAVE ENVELOPE ELEMENTS FOR WAVE PROBLEMS
TRANSIENT WAVE ENVELOPE ELEMENTS FOR WAVE PROBLEMS
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DOI：
10.1006/jsvi.1996.0186
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发表时间：
1996-04
影响因子：
4.7
通讯作者：
R. Astley
中科院分区：
文献类型：
--
作者：
R. Astley
本文提出了一类新的无限波动包络元，它可以与传统的有限元结合起来模拟无界区域内的瞬态波动方程。通过将逆傅立叶变换应用于频域中的映射波包络公式来获得元素。用这种方法得到的离散瞬态方程可以不受限制地应用于二维和三维问题，在整个激励频率范围内都是有效的。该方法的有效性和准确性证明在应用程序中的简单的测试情况下，其中涉及的瞬态声场的计算所产生的脉动球和圆柱体从一个无界区域中的休息激发。测试解决方案进行了比较，分析解决方案和有限元解决方案，通过使用大型计算网格扩展到该区域以外的瞬态干扰的影响。
A novel family of infinite wave envelope elements is described which can be used in conjunction with conventional finite elements to model the transient wave equation in unbounded regions. The elements are obtained by applying an inverse Fourier transformation to a mapped wave envelope formulation in the frequency domain. The discrete transient equations obtained in this way can be applied to two-dimensional and three-dimensional problems without restriction, being valid over a full range of excitation frequencies. The effectiveness and accuracy of the method is demonstrated in application to simple test cases which involve the calculation of transient sound fields generated by pulsating spheres and cylinders excited from rest in an unbounded region. Test solutions are compared to analytic solutions and to finite element solutions obtained by using large computational grids which extend beyond the region influenced by the transient disturbance.