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. ?? 2007 World Scientific Publishing Co. Pte. Ltd.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.