Numerical Simulation of Surface Waves using Meshfree Methods
dc.contributor.author | Wickramarachchi, Subasha | |
dc.date.accessioned | 2009-04-27T13:34:28Z | |
dc.date.available | 2009-04-27T13:34:28Z | |
dc.date.issued | 2009-04-27T13:34:28Z | |
dc.date.submitted | 2009-04-23 | |
dc.description.abstract | Smoothed Particle Hydrodynamics (SPH) is a Lagrangian-based numerical method used for simulating problems in fluid and solid mechanics. In this thesis, a basic introduction to particle and Smoothed Particle (SP) approximations is given first. Application of SP approximations to Euler and Navier-Stokes equations is discussed, followed by an improvement to restore first order consistency in SPH. Then, simulations of 2D free-surface waves in a weakly incompressible fluid are conducted. If the artificial viscosity used is small, results indicate that the accuracy of SPH scheme is reasonably good; however, a low artificial viscosity leads to a rugged air-water interface. Furthermore, application of the LES filter has negligible effects. It is also observed that the use of Renormalized SPH (R-SPH) increases diffusivity but does not increase accuracy significantly. Hence, for 2D surface waves in weakly incompressible fluids, basic SPH formulation without any modification is as good as the R-SPH or LES-SPH methods. | en |
dc.identifier.uri | http://hdl.handle.net/10012/4334 | |
dc.language.iso | en | en |
dc.pending | false | en |
dc.publisher | University of Waterloo | en |
dc.subject | SPH | en |
dc.subject | Surface waves | en |
dc.subject | LES | en |
dc.subject.program | Applied Mathematics | en |
dc.title | Numerical Simulation of Surface Waves using Meshfree Methods | en |
dc.type | Master Thesis | en |
uws-etd.degree | Master of Mathematics | en |
uws-etd.degree.department | Applied Mathematics | en |
uws.peerReviewStatus | Unreviewed | en |
uws.scholarLevel | Graduate | en |
uws.typeOfResource | Text | en |