Modeling and simulation of the acoustic response in enclosed cavities of a diesel engine are of great significance for optimal design of an engine to achieve a better acoustic performance. Nevertheless, the use of the traditional finite element method (FEM) for the mid to high frequency acoustic prediction is limited by the well-known numerical dispersion errors and the tedious preprocessing of the model. Smoothed finite element methods (SFEMs) proposed originally for solid mechanics have been employed for the modeling of acoustic problems in the low to medium frequency ranges whilst acoustic modeling in the mid to high frequency range remains untouched. This paper comprehensively investigates into the performance of SFEMs in modeling and simulation of mid to high frequency acoustic problems. It is shown that the mass-redistributed edge-based smoothed finite element method (MR-ES-FEM) can yield an excellent prediction result in the mid to high frequency range in terms of accuracy, efficiency and robustness. The MR-ES-FEM is also used to simulate sound propagation in a cylinder head chamber of a four-cylinder diesel engine to prove its effectiveness. The findings presented in this paper offer an in-depth insight for engineers to select suitable numerical methods for solving mid to high frequency acoustic problems in the design of diesel engines.

中文翻译：

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柴油机缸盖室中高频声响应预测的平滑有限元方法

柴油机封闭腔内声学响应的建模与仿真对于优化设计发动机以获得更好的声学性能具有重要意义。然而，传统的有限元方法（FEM）在中高频声学预测中的应用受限于众所周知的数值色散误差和繁琐的模型预处理。最初针对固体力学提出的平滑有限元方法 (SFEM) 已被用于对中低频范围内的声学问题进行建模，而中高频范围内的声学建模仍未受到影响。本文全面研究了 SFEM 在中高频声学问题建模和仿真中的性能。结果表明，基于质量重分布边缘的平滑有限元法（MR-ES-FEM）在中高频范围内在精度、效率和鲁棒性方面都能产生出色的预测结果。MR-ES-FEM 还用于模拟四缸柴油发动机气缸盖室中的声音传播，以证明其有效性。本文提出的研究结果为工程师选择合适的数值方法来解决柴油发动机设计中的中高频声学问题提供了深入的见解。MR-ES-FEM 还用于模拟四缸柴油发动机气缸盖室中的声音传播，以证明其有效性。本文提出的研究结果为工程师选择合适的数值方法来解决柴油发动机设计中的中高频声学问题提供了深入的见解。MR-ES-FEM 还用于模拟四缸柴油发动机气缸盖室中的声音传播，以证明其有效性。本文提出的研究结果为工程师选择合适的数值方法来解决柴油发动机设计中的中高频声学问题提供了深入的见解。