基于Chebyshev谱元方法的多声源干涉的研究
hebyshev spectral element method and the implicit Newmark time method for solving acoustic interference problems
本文在空间上划分12×12单元，每个单元上采用6阶Chebyshev多项式进行谱元法离散，时间上采用无条件稳定的隐式 Newmark 积分方法，在边界上采用一阶CEM吸收边界条件和一阶EDT吸收边界条件消除人工反射对声场的影响，分别计算了静止介质中以及定常均匀流场中的多声源干涉问题，其计算结果与解析解吻合较好，本文的研究为更准确的描述真实声场提供了依据。
chebyshev spectral elements approximation for acoustic interference problems in static medium and steady uniform flow with first-order absorbing boundary conditions is studied in this paper. In this approach, its discretization is based on spectral elements in space and implicit Newmark method in time marching. In space, 12X12 elements are divided and each element is discretized with the sixth-order chebyshev polynomials. The numerical results with six-order spectral accuracy in space and up to second-order accuracy in time agree well with the analytical solutions. And it provides a basis for a more accurate description of the real sound field.
耿艳辉、秦国良
声学工程力学数学
关Chebyshev 谱元法隐式Newmark积分方法高精度无反射边界条件声源干涉
hebyshev spectral element methodimplicit Newmark integration methodhigh accuracynon-reflection boundary conditionacoustic interference
耿艳辉,秦国良.基于Chebyshev谱元方法的多声源干涉的研究[EB/OL].(2012-12-04)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/201212-39.点此复制
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