Fast Methods applied to BEM Solvers for Acoustic Propagation Problems

Balin, Nolwenn; Sylvand, Guillaume; Robert, J

doi:10.2514/6.2016-2712

Cited by 10 publications

(2 citation statements)

References 13 publications

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“…Using φ = T ψ the relation for ψ s can immediately be obtained from eqn. (9). In order to obtain the relation for ∇ψ s , one writes eqn.…”

Section: Source Surfacesmentioning

confidence: 99%

“…It should, however, be mentioned that several other well validated and documented codes for acoustic shielding calculations are around. Prominent examples, of which the author is aware of, are the Fast Scattering Code (FCS) developed at NASA Langley Research Center [48,50,49,18] and the ACTIPOLE code from Airbus Group Innovations [17,8,9]. Two important topics which will not be discussed in the present paper are (1) sound absorbing boundary conditions, which are important for the assessment of passive noise control measures like, e. g., acoustic liners, and (2) the treatment of broadband noise problems with Boundary Element Methods.…”

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confidence: 99%

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Installation: numerical investigation

Lummer

2019

CEAS Aeronaut J

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Acoustic installation effects are considered as scattering problem. Two methods to investigate them are presented. First, a Fast Multipole Method Boundary Element Method (FMM-BEM) which can solve the Helmholtz wave equation for full scale aircraft configurations at frequencies of some kHz. There, low Mach number potential mean flow fields can be taken into account by a so-called Taylor transformation. Second, a Discontinuous Galerkin Method (DGM) which solves Acoustic Perturbation Equations (APE) for realistic mean flow fields is presented. DGM calculations are very expensive and can be performed for full scale aircrafts only at low frequencies. Its main purpose so far is to assess the accuracy of the FMM for selected cases. The Taylor transformed Helmholtz equation is derived and the fundamentals of the FMM are introduced. Some details of the DLR FMM code FMCAS are given. The basic DGM equations are derived for the APE and some implementation details of the DLR DGM code DISCO++ are discussed. For generic geometries results of the FMM and DGM are compared and the limits of the Taylor transfor

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“…Using φ = T ψ the relation for ψ s can immediately be obtained from eqn. (9). In order to obtain the relation for ∇ψ s , one writes eqn.…”

Section: Source Surfacesmentioning

confidence: 99%