東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

A pseudospectral implementation of H...

Schauf, Andrew Johnathan.

Linked to FindBook

Google Book

Amazon

博客來

A pseudospectral implementation of Hamiltonian surface water wave equations for coastal wave simulation.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A pseudospectral implementation of Hamiltonian surface water wave equations for coastal wave simulation./
Author:	Schauf, Andrew Johnathan.
Description:	77 p.
Notes:	Source: Masters Abstracts International, Volume: 51-06.
Contained By:	Masters Abstracts International51-06(E).
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1539384
ISBN:	9781303144998

A pseudospectral implementation of Hamiltonian surface water wave equations for coastal wave simulation.
Schauf, Andrew Johnathan.

A pseudospectral implementation of Hamiltonian surface water wave equations for coastal wave simulation. - 77 p.

Source: Masters Abstracts International, Volume: 51-06.

Thesis (M.S.)--University of Colorado at Boulder, 2013.

A Hamiltonian formulation of surface water wave dynamics offers several useful features for numerical simulations of coastal waves, including reduction of the fully three-dimensional fluid problem to free surface variables and conservation of an approximated total energy. The spectral linear version of the Hamiltonian dynamical equations captures wavelength dispersion using a pseudodifferential operator, while higher-order approximations of the total energy lead to dynamical equations that incorporate nonlinear effects in terms of this operator. These models, derived for constant depth, are extended for use with varying-depth bathymetries by replacing the pseudodifferential operator with a symmetrized combination of several such operators evaluated at selected depths from the bathymetry at hand. This new operator is constructed so as to minimize its error from the true local-depth operator over the entire bathymetry, with priority given to wavelengths for which the most accurate modeling is desired. The resulting equations are implemented using a Fourier pseudospectral method, with damping regions used to manage the inherent periodic boundary conditions, source terms used to generate waves within the computational domain, and additional damping terms used to roughly simulate reflective interfaces. The implementation is validated by comparison to data from several benchmark experiments: a focusing wave group over uniform depth, irregular waves over a sloping bathymetry, and monochromatic waves over a challenging shoal bathymetry. The results demonstrate the promising ability of this approach to accurately simulate dispersive and bathymetric effects, and to achieve improved accuracy through the use of nonlinear terms. These improvements in accuracy, however, appear to be limited by the increasing degree of filtration of wavenumber modes required to control aliasing in models of increasing order. Finally, the implementation is demonstrated through simulations of realistic wave scenarios over actual coastal bathymetries.

ISBN: 9781303144998Subjects--Topical Terms:

2122814
Applied mathematics.

A pseudospectral implementation of Hamiltonian surface water wave equations for coastal wave simulation.
LDR:02954nmm a2200289 4500 001 2065387
005 20151205151934.5
008 170521s2013 ||||||||||||||||| ||eng d
020 $a 9781303144998
035 $a (MiAaPQ)AAI1539384
035 $a AAI1539384
040 $a MiAaPQ $c MiAaPQ
100 1 $a Schauf, Andrew Johnathan. $3 3180079
245 1 2 $a A pseudospectral implementation of Hamiltonian surface water wave equations for coastal wave simulation.
300 $a 77 p.
500 $a Source: Masters Abstracts International, Volume: 51-06.
500 $a Adviser: Bengt Fornberg.
502 $a Thesis (M.S.)--University of Colorado at Boulder, 2013.
520 $a A Hamiltonian formulation of surface water wave dynamics offers several useful features for numerical simulations of coastal waves, including reduction of the fully three-dimensional fluid problem to free surface variables and conservation of an approximated total energy. The spectral linear version of the Hamiltonian dynamical equations captures wavelength dispersion using a pseudodifferential operator, while higher-order approximations of the total energy lead to dynamical equations that incorporate nonlinear effects in terms of this operator. These models, derived for constant depth, are extended for use with varying-depth bathymetries by replacing the pseudodifferential operator with a symmetrized combination of several such operators evaluated at selected depths from the bathymetry at hand. This new operator is constructed so as to minimize its error from the true local-depth operator over the entire bathymetry, with priority given to wavelengths for which the most accurate modeling is desired. The resulting equations are implemented using a Fourier pseudospectral method, with damping regions used to manage the inherent periodic boundary conditions, source terms used to generate waves within the computational domain, and additional damping terms used to roughly simulate reflective interfaces. The implementation is validated by comparison to data from several benchmark experiments: a focusing wave group over uniform depth, irregular waves over a sloping bathymetry, and monochromatic waves over a challenging shoal bathymetry. The results demonstrate the promising ability of this approach to accurately simulate dispersive and bathymetric effects, and to achieve improved accuracy through the use of nonlinear terms. These improvements in accuracy, however, appear to be limited by the increasing degree of filtration of wavenumber modes required to control aliasing in models of increasing order. Finally, the implementation is demonstrated through simulations of realistic wave scenarios over actual coastal bathymetries.
590 $a School code: 0051.
650 4 $a Applied mathematics. $3 2122814
650 4 $a Physical oceanography. $3 3168433
650 4 $a Ocean engineering. $3 660731
690 $a 0364
690 $a 0415
690 $a 0547
710 2 $a University of Colorado at Boulder. $b Applied Mathematics. $3 1030307
773 0 $t Masters Abstracts International $g 51-06(E).
790 $a 0051
791 $a M.S.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1539384