Time-domain solution of the parabolic equation including nonlinearity

DOI10.1016/0898-1221(85)90179-8zbMath0576.76072OpenAlexW1968536025MaRDI QIDQ1064921

W. A. Kuperman, B. Edward McDonald

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90179-8

zbMATH Keywords

wave equationnonlinearityweak shockslinear frequency-domain parabolic equationnonlinear acoustic pulsesnonlinear progressiveperturbation about a unidirectional plane-wave signalrefracting mediumsecond- order wave equationtwo-dimensional formulation for small-angle propagation

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

Related Items (3)

Current development in the numerical treatment of ocean acoustic propagation ⋮ Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation ⋮ Time-domain solution of the parabolic equation including nonlinearity

Uses Software

• SHASTA

Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• High-order upwind flux correction methods for hyperbolic conservation laws
• Time-domain solution of the parabolic equation including nonlinearity
• Propagation of sonic booms in the thermosphere
• Acoustic propagation in random oceans using the radiation transport equation
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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