2004
DOI: 10.2514/1.1883
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Actual Impedance of Nonreflecting Boundary Conditions: Implications for Computation of Resonators

Abstract: Nonreflecting boundary conditions are essential elements in the computation of many compressible flows. Such simulations are very sensitive to the treatment of acoustic waves at boundaries. Nonreflecting conditions allow acoustic waves to propagate through boundaries with zero or small levels of reflection into the domain. However, perfectly nonreflecting conditions must be avoided because they can lead to ill-posed problems for the mean flow. Various methods have been proposed to construct boundary conditions… Show more

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Cited by 145 publications
(107 citation statements)
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“…A basic proof of the absence of acoustic coupling can be assessed by comparing the acoustic eigenfrequencies of the combustion chamber with the precessing frequency of the PVC (408 Hz). The fundamental transverse eigenmode is 575 Hz, and the non reflecting inlet/outlet treatment [24] is built to damp all the longitudinal modes.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…A basic proof of the absence of acoustic coupling can be assessed by comparing the acoustic eigenfrequencies of the combustion chamber with the precessing frequency of the PVC (408 Hz). The fundamental transverse eigenmode is 575 Hz, and the non reflecting inlet/outlet treatment [24] is built to damp all the longitudinal modes.…”
Section: Resultsmentioning
confidence: 99%
“…The boundary condition treatment is based on a multi-species extension [19] of the NSCBC method [23], for which the acoustic impedance is controlled to minimise the unwanted reflections [24]. The adiabatic walls are handled using a logarithmic lawof-the-wall formulation which is known to perform well with the classical Smagorinsky model [25].…”
Section: Numerical Approach Used In Large Eddy Simulationsmentioning
confidence: 99%
“…4). It was also checked that the reflection coefficients R j , that behave like low-pass filters of cut-off frequency f c = K/(4π ) = 32 Hz [32], let the acoustic fluxes of the harmonic forcing leave and not accumulate in the cavity. This method yielded constant amplitude harmonic signals suitable for the computations of the FTFs, represented in Fig.…”
Section: Measurement Of the Ftf In An Intrinsically Unstable Systemmentioning
confidence: 99%
“…The appropriate reflection coefficients for stabilization R j were obtained from the relaxation coefficients K j enforced through Navier-Stokes Characteristics Boundary Conditions at the inlet and outlet 11 [32]. By choosing K 1 = K 2 = 800 s −1 , the associated complex-valued frequency-dependent reflection coefficients (Fig.…”
Section: Measurement Of the Ftf In An Intrinsically Unstable Systemmentioning
confidence: 99%
“…The velocity profile obtained during the periodic simulation is set as a constant and non-reflecting boundary condition [13] at the inlet of the domain for the reactive computations. The pressure P ¼ 2 bar is imposed at the outlet of the network corresponding to the pressure of the gas in FCC regenerators.…”
Section: Numerical Simulation Organizationmentioning
confidence: 99%