A note on wave celerities on a compressible fluid

R A Dalrymple, B D Rogers

    Research output: Chapter in Book/Report/Conference proceedingConference contribution


    Smoothed particle hydrodynamics (SPH) is being used to model fluid flows, including free surface waves; however, the method assumes an compressible fluid. Most water wave theories are based on the assumption of incompressibility, which is reasonable for water. Here we develop a linear wave theory for waves on a compressible fluid. The effect of the fluid compressibility on wave number is examined to determine how much error is induced by an assumption of compressibility and also how these effects might be avoided. The dispersion relationship for a free surface wave on a compressible fluid is determined and the results are compared to incompressible free surface wave theory. ?? 2007 World Scientific Publishing Co. Pte. Ltd.
    Original languageEnglish
    Title of host publicationhost publication
    Number of pages11
    Publication statusPublished - 2007


    • Compressible fluids
    • Dispersion relationship
    • Fluid compressibility
    • Free-surface wave
    • Linear wave theory
    • Model fluids
    • Smoothed particle hydrodynamics
    • Water wave theory
    • Wave celerity
    • Wave numbers
    • Coastal engineering
    • Compressibility
    • Hydrodynamics
    • Incompressible flow
    • Surface waves
    • Surfaces
    • Water waves
    • Fluids


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