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Numerical modeling of breaking waves.

Lin, Pengzhi.

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Numerical modeling of breaking waves.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical modeling of breaking waves./
作者:	Lin, Pengzhi.
面頁冊數:	299 p.
附註:	Adviser: Philip L.-F. Liu.
Contained By:	Dissertation Abstracts International59-06B.
標題:	Engineering, Environmental. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9837882
ISBN:	9780591915303

Numerical modeling of breaking waves.
Lin, Pengzhi.

Numerical modeling of breaking waves. - 299 p.

Adviser: Philip L.-F. Liu.

Thesis (Ph.D.)--Cornell University, 1998.

A numerical model has been developed to study breaking waves. The model is based on the Reynolds Averaged Navier-Stokes (RANS) equations which describe mean flow motions of essentially any Newtonian fluid. The Reynolds stresses in these equations are modeled by a nonlinear algebraic closure model. A modified k-$\epsilon$ model is solved to provide the information of transient turbulence kinetic energy, k, and the rate of turbulence dissipation, $\epsilon ,$ which are needed in the closure model. A finite difference two-step projection method is used to solve the RANS equations. In the model, the forward-time difference method is used to discretize the temporal derivatives. A combination of central-space difference method and upwind scheme is used to discretize the advection terms. The central-space difference method is used to discretize the other spatial derivatives. The transport equations for k and $\epsilon$ are similarly discretized. The free surface motion is solved by using the volume of fluid (VOF) method.

ISBN: 9780591915303Subjects--Topical Terms:

783782
Engineering, Environmental.

Numerical modeling of breaking waves.
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100 1 $a Lin, Pengzhi. $3 1270384
245 1 0 $a Numerical modeling of breaking waves.
300 $a 299 p.
500 $a Adviser: Philip L.-F. Liu.
500 $a Source: Dissertation Abstracts International, Volume: 59-06, Section: B, page: 2970.
502 $a Thesis (Ph.D.)--Cornell University, 1998.
520 $a A numerical model has been developed to study breaking waves. The model is based on the Reynolds Averaged Navier-Stokes (RANS) equations which describe mean flow motions of essentially any Newtonian fluid. The Reynolds stresses in these equations are modeled by a nonlinear algebraic closure model. A modified k-$\epsilon$ model is solved to provide the information of transient turbulence kinetic energy, k, and the rate of turbulence dissipation, $\epsilon ,$ which are needed in the closure model. A finite difference two-step projection method is used to solve the RANS equations. In the model, the forward-time difference method is used to discretize the temporal derivatives. A combination of central-space difference method and upwind scheme is used to discretize the advection terms. The central-space difference method is used to discretize the other spatial derivatives. The transport equations for k and $\epsilon$ are similarly discretized. The free surface motion is solved by using the volume of fluid (VOF) method.
520 $a The numerical model is first used to study a nonbreaking solitary wave runup on a steep slope. The numerical results compare very well with experimental data measured by the Particle Image Velocimetry (PIV) and numerical results calculated by the Boundary Integral Equation Method (BIEM) model, in terms of both free surface displacements and velocities. The model is then employed to study a breaking solitary wave runup on a relatively mild slope. The numerical results are compared with laboratory data for free surface displacements. Good agreements are obtained. The numerical results are further analyzed to provide additional information on velocity distribution and turbulence transport in surf zone, which has not been attempted in the laboratory study. Finally, the numerical model is used to study periodic wave runup on a mild slope. Both spilling breaker and plunging breaker, two most commonly observed breakers, are investigated. The numerical results are compared with the available laboratory data in terms of mean free surface displacements, mean velocities, and turbulence intensities. Reasonable agreements are observed at most of cross sections except the ones very close to the breaking points. Discussions are made to clarify the intrinsic difference between the spilling breaker and plunging breaker in terms of their turbulence generation and transport properties.
520 $a Further extensions of the model are attempted and discussed. The model extensions include the simulations of flows in porous media, solute and sediments transport, and air bubble density distribution. Emphases are made for the study of flows in porous media. The model is first calibrated by using small scale experiments of flows passing through a porous dam. The model is then employed to study breaking waves overtopping a caisson protected by porous armour units. These extensions demonstrate the flexibility and capability of the model for studying various practical problems besides the wave breaking processes. The employment of the current model for deriving a more accurate depth-averaged equation model for breaking waves is also discussed.
590 $a School code: 0058.
650 4 $a Engineering, Environmental. $3 783782
650 4 $a Engineering, Marine and Ocean. $3 1019064
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Hydrology. $3 545716
650 4 $a Physical Oceanography. $3 1019163
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773 0 $t Dissertation Abstracts International $g 59-06B.
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791 $a Ph.D.
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