Numerical solution of wave scattering problems in the parabolic approximation

DOI10.1017/S0022112079002354zbMath0399.76073OpenAlexW2149146645MaRDI QIDQ4184552

Sebastien M. Candel

Publication date: 1979

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112079002354

zbMATH Keywords

finite differencenumerical solutionacoustic fieldCrank-Nicolson methodtwo-dimensionalparabolic approximationBorn approximationturbulent mediumwave scattering problemscylindrical inhomogeneity

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Theoretical approximation in context of PDEs (35A35) Hydro- and aero-acoustics (76Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Isotropic turbulence; homogeneous turbulence (76F05) Initial value problems for linear higher-order PDEs (35G10) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Higher-order parabolic equations (35K25)

Related Items (7)

One-way spatial integration of hyperbolic equations ⋮ Long range numerical simulation of acoustical shock waves in a 3D moving heterogeneous and absorbing medium ⋮ Numerical boundary conditions for sound scattering simulation. ⋮ Interaction of a Gaussian acoustic wave with a turbulent non-premixed flame ⋮ Spectral broadening of acoustic waves by convected vortices ⋮ Sound scattering by a vortex: case of exponentially decaying velocity ⋮ Occurrence of caustics for high-frequency acoustic waves propagating through turbulent fields

Cites Work

• Parabolic approximations for underwater sound propagation
• Sound scattering by a potential vortex
• Propagation of Sound in a Turbulent Atmosphere

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