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http://hdl.handle.net/10012/4334
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| Title: | Numerical Simulation of Surface Waves using Meshfree Methods |
| Authors: | Wickramarachchi, Subasha |
| Keywords: | SPH
Surface waves
LES |
| Approved Date: | 27-Apr-2009 |
| Date Submitted: | 23-Apr-2009 |
| 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. |
| Program: | Applied Mathematics |
| Department: | Applied Mathematics |
| Degree: | Master of Mathematics |
| URI: | http://hdl.handle.net/10012/4334 |
| Appears in Collections: | Electronic Theses and Dissertations (UW)
Faculty of Mathematics Theses and Dissertations
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