A frequency domain Immersed Boundary method and its application to 2-dimensional acoustic problems
A frequency domain Immersed Boundary(IB)method was developed and validated in the present paper using 2-dimenstional acoustical radiation and scattering cases.The IB method has attracted extensive research interests for its convenience in handling moving and/or complex geometries.However,most work was done in time domain instead of frequency domain so far.In the present paper,the IB method was incorporated with Linearized Euler Equations(LEE)in the frequency domain with the intent to inherit its advantages in boundary condition treatment including phase-lagged periodicity,impedance,non-reflective boundary conditions and so forth.In the present work,the governing equations were discretisized in space using the DRP scheme.A pseudo time dependant term was added to the frequency domain equations,allowing the use of a conventional time-marching algorithm to converge the solutions in the pseudo-time domain.Perfectly Matched Layers(PML)were placed at boundaries of computational domain where non-reflective conditions were expected.PML technique was also implemented inside the rigid body to stabilize the computation.The impermeable boundary condition on the surface of the geometry is guaranteed by finding the inverse of an influence matrix,which establishes the relationship between boundary forces and induced velocity.Numerical computations were performed for 2-dimensional acoustic radiation and scattering problems.Computational results were compared with exact solution and yielded good agreement,providing a solid verification of the current method.The method is expected to extend to higher dimension and applied to more complex problem like wake/airfoil interaction simulations in turbomachinery.
Immersed boundary method Frequency domain Linearized Euler equation Computational Aeroacoustics Acoustic scattering
A. Liang
AVIC Commercial Aircraft Engine co.ltd.,3998 south Lianhua Rd.,Shanghai 201108,PR China
国际会议
2014 Asia-Pacific International Symposium on Aerospace Technology(2014亚太航空航天技术学术会议)
上海
英文
1-13
2014-09-24（万方平台首次上网日期，不代表论文的发表时间）