A note on wave celerities on a compressible fluid

Robert A. Dalrymple*, Benedict D. Rogers

*Corresponding author for this work

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

9 Scopus citations


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.

Original languageEnglish (US)
Title of host publicationProceedings of the 30th International Conference on Coastal Engineering 2006, ICCE 2006
PublisherAmerican Society of Civil Engineers (ASCE)
Number of pages11
ISBN (Print)9789812706362
StatePublished - 2007
Event30th International Conference on Coastal Engineering, ICCE 2006 - San Diego, CA, United States
Duration: Sep 3 2006Sep 8 2006

Publication series

NameProceedings of the Coastal Engineering Conference
ISSN (Print)0161-3782


Other30th International Conference on Coastal Engineering, ICCE 2006
Country/TerritoryUnited States
CitySan Diego, CA

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ocean Engineering
  • Oceanography


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