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Communication Dans Un Congrès Année : 2003

Numerical simulation of acoustic waveguides for Webster-Lokshin model using diffusive representations

Thomas Hélie
Denis Matignon
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Résumé

Acoustic waves travelling in axisymmetric pipes with viscothermal losses at the wall obey a Webster-Lokshin model. Their simulation may be achieved by concatenating scattering matrices of elementary transfer functions associated with nearly constant features (e.g. curvature). These functions are computed analytically and involve diffusive pseudo-differential operators, for which we have representation formula and input-output realizations, yielding direct numerical approximations of finite order. The method is based on some involved complex analysis.

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Dates et versions

hal-01106332 , version 1 (20-01-2015)

Identifiants

  • HAL Id : hal-01106332 , version 1

Citer

Thomas Hélie, Denis Matignon. Numerical simulation of acoustic waveguides for Webster-Lokshin model using diffusive representations. Waves - International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena (INRIA), 2003, Jyvaskyla, Finlande. pp.72-77. ⟨hal-01106332⟩
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