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ON THE USE OF A HIGH-ORDER FINITE ELEMENT -WAVE BASED METHOD FOR INTERIOR ACOUSTIC CAVITY ANALYSIS

机译:基于高阶有限元 - 波的室内声腔分析方法研究

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摘要

This paper discusses the use of wave based prediction methods for the analysis of steady-state interior acoustic problems. Conventional element based prediction methods, such as the finite element method (FEM), are commonly used, but are restricted to low-frequency applications. The wave based method (WBM) is an alternative deterministic technique which is based on the indirect Trefftz approach. The WBM is computationally very efficient, allowing the analysis of problems at higher frequencies. The efficiency of the WBM is most pronounced for problems of moderate geometrical complexity. For the analysis of problems with a more complex geometry, a hybrid finite element-wave based method is developed. This hybrid approach combines the strengths of the two methods, namely, the high computational efficiency of the WBM and the ability of the FEM to model problems of arbitrary geometrical complexity. Up till now, only low-order FE models have been coupled with WB models. This paper discusses the application of more accurate high-order FE schemes in the hybrid FE-WB approach. The performance of the resulting high-order hybrid method will be illustrated by means of a numerical validation example.
机译:本文讨论了利用波的预测方法对稳态内部声学问题的分析。常规基于元素的预测方法,例如有限元方法(FEM),但是被限制在低频应用。波的方法(WBM)是一种基于间接TreffTz方法的替代确定性技术。 WBM在计算上非常有效,允许在较高频率下分析问题。 WBM的效率最为明显,对中等几何复杂性的问题。为了分析具有更复杂几何形状的问题,开发了一种混合有限元波的方法。这种混合方法结合了两种方法的优点,即WBM的高计算效率以及FEM以模拟任意几何复杂性的问题的能力。到目前为止,只有低阶FE模型已加上WB型号。本文讨论了更准确的高阶FE方案在混合FE-WB方法中的应用。将通过数值验证示例说明所得到的高阶混合方法的性能。

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