A multiscale derivation of a new parabolic equation which includes density variations

DOI10.1016/0898-1221(85)90176-2zbMath0576.76070OpenAlexW2033950774MaRDI QIDQ1064918

Gregory A. Kriegsmann

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)90176-2

zbMATH Keywords

parabolic equationdifference schememultiscale methoddifference equationsmooth densityconservative finitepiecewise smooth densityvariable ocean density

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

Related Items (6)

A parabolic approximation method with application to global wave propagation ⋮ A direct multiple-scale approach to the parabolic equation method ⋮ GENERALIZATIONS OF THE ENERGY-FLUX PARABOLIC EQUATION ⋮ Reciprocity and energy conservation within the parabolic approximation. ⋮ Difference schemes for the parabolic wave equation in ocean acoustics ⋮ Generalization of the parabolic equation for EM waves in a dielectric layer of nonuniform thickness

Cites Work

• Unnamed Item
• Wave propagation and underwater acoustics
• A finite-difference treatment of interface conditions for the parabolic wave equation: The irregular interface
• A finite-difference treatment of interface conditions for the parabolic wave equation: The horizontal interface

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