Far-field approximations to the derivatives of Green’s function for the Ffowcs Williams and Hawkings equation
文献类型：期刊论文
| 作者 | Zhou ZT(周志腾)1,2 ; Zang ZY(臧震宇)1,2; Wang HP(王洪平)1,2; Wang SZ(王士召)1,2
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| 刊名 | Advances in Aerodynamics
 |
| 出版日期 | 2022-03-16 |
| 卷号 | 4期号:1 |
| 关键词 | Ffowcs Williams and Hawkings integral Green’s function High-order derivatives Far-field approximation |
| DOI | 10.1186/s42774-022-00109-x |
| 通讯作者 | Wang,Shizhao(wangsz@lnm.imech.ac.cn) |
| 英文摘要 | AbstractThe surface correction to the quadrupole source term of the Ffowcs Williams and Hawkings integral in the frequency domain suffers from the computation of high-order derivatives of Green’s function. The far-field approximations to the derivatives of Green’s function have been used without derivation and verification in previous work. In this work, we provide the detailed derivations of the far-field approximations to the derivatives of Green’s function. The binomial expansions for the derivatives of Green’s function and the far-field condition are employed during the derivations to circumvent the difficulties in computing the high-order derivatives. The approximations to the derivatives of Green’s function are systemically verified by using the benchmarks two -dimensional convecting vortex and the co-rotating vortex pair. In addition, we provide the derivations of the approximations to the multiple integrals of Green’s function by using the far-field approximations to the derivatives. |
| 语种 | 英语 |
| WOS记录号 | BMC:10.1186/S42774-022-00109-X |
| 其他责任者 | Wang,Shizhao |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/97513]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 作者单位 | 1.University of Chinese Academy of Sciences; School of Engineering Sciences 2.Chinese Academy of Sciences; Institute of Mechanics; |
| 推荐引用方式 GB/T 7714 | Zhou ZT,Zang ZY,Wang HP,et al. Far-field approximations to the derivatives of Green’s function for the Ffowcs Williams and Hawkings equation[J]. Advances in Aerodynamics,2022,4(1). |
| APA | 周志腾,臧震宇,王洪平,&王士召.(2022).Far-field approximations to the derivatives of Green’s function for the Ffowcs Williams and Hawkings equation.Advances in Aerodynamics,4(1). |
| MLA | 周志腾,et al."Far-field approximations to the derivatives of Green’s function for the Ffowcs Williams and Hawkings equation".Advances in Aerodynamics 4.1(2022). |
入库方式： OAI收割
来源：力学研究所
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