基于区域分解的快速多极基本解法预测发动机表面辐射声场

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (16) : 31-37.

论文

陈长征 1，张士伟1, 周勃2, 黄鹤艇3

作者信息 +

Prediction of acoustic radiation field of engine surface by domain decomposition-based fast multipole method of fundamental solution

CHEN Chang-zheng1，ZHANG Shi-wei 1，ZHOU Bo2，HUANG He-ting3

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文章历史 +

摘要

针对发动机表面结构复杂，多狭长边界，用通常算法求解源点分布无法保障基本解法计算精度问题，提出改进的计算源点分布算法，利用区域分解处理影响基本解计算精度的狭长边界；结合快速多极算法，形成适于三维复杂表面辐射声场预测基于区域分解的快速多极基本解法。利用区域分解求解发动机计算模型的源点分布，在源点分布已知基础上利用快速多极基本解法预测发动机表面辐射声场。结果表明，利用区域分解求得源点与配置点最优距离为34.5 mm，可提高发动机辐射声场预报精度；截断项数为15时可避免截断项数过小引起的低频不稳定，并保证计算效率；不同于快速多极边界元用网格加密提高计算精度，基于区域分解的快速多极基本解法通过区域分解进行优化源点分布可提高精度，且不增加计算负担。通过发动机表面辐射噪声实验，计算值与实验值吻合较好，说明该解法可提高发动机表面辐射声场的预测精度。

Abstract

Due to the complex structure of engine surface and a lot of long narrow borders, standard approaches to solving the distribution of source points cannot gain enough computational precision of the method of fundamental solution(MFS). Thus, an improved algorithm for solving the distribution of source points is presented and it is used to deal with long narrow borders. Combined with fast multipole algorithm, domain decomposition-based fast mutipole method of fundamental solution (FMMFS) is formed. The improved algorithm is used to solve the distribution of source points and then the FMMFS is used to predict the acoustic radiation field of engine surface. The results show that the optimal distance between the collocation points and source points is 34.5mm and the computational precision is improved. When truncation terms are 15, it not only avoids uncertainty in low frequency by the too small truncation terms, but also guarantees the computational efficiency. To improve the computational precision, domain decomposition-based fast mutipole method of fundamental solution uses domain decomposition to solve the distribution of source points; it differs from the Fast multipole BEM which adapts mesh refinement. The experimental results are in good agreement with computational results, which indicate that domain decomposition-based fast mutipole method of fundamental solution improves the computational precision of the prediction of acoustic radiation field of engine surface.

导出引用

陈长征1,张士伟1, 周勃2, 黄鹤艇3. 基于区域分解的快速多极基本解法预测发动机表面辐射声场[J]. 振动与冲击, 2015, 34(16): 31-37

CHEN Chang-zheng1，ZHANG Shi-wei 1，ZHOU Bo2，HUANG He-ting3 . Prediction of acoustic radiation field of engine surface by domain decomposition-based fast multipole method of fundamental solution[J]. Journal of Vibration and Shock, 2015, 34(16): 31-37

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