| Title: | A NOTE ON WAVE CELERITIES ON A COMPRESSIBLE FLUID |
| DOI No: | 10.1142/9789812709554_0001 |
| Source: | COASTAL ENGINEERING 2006 (pp 3-13)
|
| Author(s): | Robert A. Dalrymple
Department of Civil Engineering, Johns Hopkins University, 3400 N. Charles Street, Baltimore, MD, 21218, USA
Benedict D. Rogers
School of Mechanical, Aerospace & Mechanical Engineering, University of Manchester, Manchester, M60 1QD, U.K.
|
| Abstract: | 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. |
| Full Text: | View full text in PDF format (420KB) |
| TOC: | Back to Table of Contents |
|
|
