Mathematical Models and Methods in Applied Sciences · 2002 · 14 citations · 11 references
ComputingMechanical EngineeringPhysicsAcousticsComputational AcousticsFluid DynamicsAcoustic Inverse ProblemsAcoustic ModelingAcoustic SimulationAcoustic Source ModelingAcoustic Wave PropagationNumerical AcousticsAcoustic DiffractionAcoustic Diffraction ModelingDuct AcousticsVelocity PotentialVortex Sheet DynamicsWave Propagation Modeling
We present a mathematical framework for the problem of the acoustic diffraction by a plate located in a duct, in the presence of a uniform flow. The model is based on a velocity potential representation outside a vortex sheet which is induced by the trailing edge of the plate. Using limiting absorption techniques and singular functions decompositions, we show how to get a theoretical and numerical well-suited formulation.
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Acoustics as a branch of fluid mechanics
D. G. Crighton · Journal of Fluid Mechanics · 1981 · 211 citations