Mass Conserved Solution to the Ffowcs Williams and Hawkings Equation for Compact Source Regions

doi:10.3390/aerospace10020148

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	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)
发表期刊	AEROSPACE
	2023-02
卷号	10 期号:2 页码:148
摘要	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.
关键词	aeroacoustics monopole source term mass conserved far field asymptotics
DOI	10.3390/aerospace10020148
收录类别	SCI
语种	英语
WOS记录号	WOS:000938043700001
WOS研究方向	Engineering, Aerospace
WOS类目	Engineering
论文分区	二类/Q1
力学所作者排名	1
RpAuthor	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.
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/91782
专题	非线性力学国家重点实验室
作者单位	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
推荐引用方式 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.
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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