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Numerical simulation of surface wave...

Wickramarachchi, Subasha.

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Numerical simulation of surface waves using meshfree methods.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical simulation of surface waves using meshfree methods./
作者:	Wickramarachchi, Subasha.
面頁冊數:	108 p.
附註:	Source: Masters Abstracts International, Volume: 48-03, page: 1678.
Contained By:	Masters Abstracts International48-03.
標題:	Applied Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR54923
ISBN:	9780494549230

Numerical simulation of surface waves using meshfree methods.
Wickramarachchi, Subasha.

Numerical simulation of surface waves using meshfree methods. - 108 p.

Source: Masters Abstracts International, Volume: 48-03, page: 1678.

Thesis (M.Math.)--University of Waterloo (Canada), 2009.

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 used in [9] 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.

ISBN: 9780494549230Subjects--Topical Terms:

1669109
Applied Mathematics.

Numerical simulation of surface waves using meshfree methods.
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502 $a Thesis (M.Math.)--University of Waterloo (Canada), 2009.
520 $a 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 used in [9] 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.
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