| Mass Conserved Solution to the Ffowcs Williams and Hawkings Equation for Compact Source Regions | |
Zhou ZT(周志腾) ; Liu Y(刘毅); Wang HP(王洪平); Wang SZ(王士召)
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| Source Publication | AEROSPACE
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| 2023-02 | |
| Volume | 10Issue:2Pages:148 |
| Abstract | A mass conserved formulation for the Ffowcs Williams Hawkings (FW H) integral is proposed to suppress contributions of spurious mass flux to the far field sound at very low Mach numbers. The far field condition and compact source region assumptions are employed. By using higher order derivatives of Green's function, an expansion of the integrand in the monopole term is performed. This expansion transforms the mass flux like monopole term into a series including different orders of velocity moment. At very low Mach numbers, the zero order term is exactly the contribution from the spurious mass flux. The proposed mass conserved formulation is confirmed by using an unsteady dipole, a two dimensional (2D) incompressible convecting vortex, a circular cylinder flow, and a co rotating vortex pair. Additional spurious mass flux is added to the unsteady dipole, 2D incompressible convecting vortex, and flows over a circular cylinder; and the spurious mass flux of the co rotating vortex pair comes from the residual of an incompressible flow simulation. The far field sound is found to be sensitive to spurious mass flux in the unsteady dipole and 2D incompressible convecting vortex cases. Then, the computation of the monopole term expansion with the flow over a circular cylinder is presented. Fast convergence performance was observed, suggesting that the expansion requires little extra computational resources. Finally, FW H boundary dependence is observed in the co rotating vortex pair case and eliminated by using the proposed mass conserved formulation. |
| Keyword | aeroacoustics monopole source term mass conserved far field asymptotics |
| DOI | 10.3390/aerospace10020148 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000938043700001 |
| WOS Research Area | Engineering, Aerospace |
| WOS Subject | Engineering |
| Classification | 二类/Q1 |
| Ranking | 1 |
| Contributor | Wang, SZ (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China. ; Wang, SZ (corresponding author), Univ Chinese Acad Sci, Beijing 100049, Peoples R China. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/91782 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Zhou ZT,Liu Y,Wang HP,et al. Mass Conserved Solution to the Ffowcs Williams and Hawkings Equation for Compact Source Regions[J]. AEROSPACE,2023,10,2,:148.Rp_Au:Wang, SZ (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China., Wang, SZ (corresponding author), Univ Chinese Acad Sci, Beijing 100049, Peoples R China. |
| APA | 周志腾,刘毅,王洪平,&王士召.(2023).Mass Conserved Solution to the Ffowcs Williams and Hawkings Equation for Compact Source Regions.AEROSPACE,10(2),148. |
| MLA | 周志腾,et al."Mass Conserved Solution to the Ffowcs Williams and Hawkings Equation for Compact Source Regions".AEROSPACE 10.2(2023):148. |
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| Jp2023A257.pdf（1908KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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