A numerical model for wave motions and turbulence flows in front of a composite breakwater

Tian Jian Hsu; Tsutomu Sakakiyama; Philip L.F. Liu

doi:10.1016/S0378-3839(02)00045-5

A numerical model for wave motions and turbulence flows in front of a composite breakwater

Tian Jian Hsu, Tsutomu Sakakiyama, Philip L.F. Liu

Department of Hydraulic and Ocean Engineering

Research output: Contribution to journal › Article › peer-review

283 Citations (Scopus)

Abstract

A mathematical model based on the Volume-Averaged/Reynolds Averaged Navier-Stokes (VARANS) equations is developed to describe surface wave motions in the vicinity of a coastal structure, which could be either a rigid solid structure or a permeable structure or a combination of both. In the VARANS equations, the volume-averaged Reynolds stress is modeled by adopting the nonlinear eddy viscosity assumption. The model equations for the volume-averaged turbulent kinetic energy and its dissipation rate are derived by taking the volume-average of the standard k-ε equations. Because of the volume-averaging process, the effects of the small-scale turbulence in porous media are introduced. The performance of the model is checked by comparing numerical solutions with the experimental data related to a composite breakwater reported by Sakakiyama and Liu [Coast. Eng. 121 (2001) 117].

Original language	English
Article number	1006
Pages (from-to)	25-50
Number of pages	26
Journal	Coastal Engineering
Volume	46
Issue number	1
DOIs	https://doi.org/10.1016/S0378-3839(02)00045-5
Publication status	Published - 2002

All Science Journal Classification (ASJC) codes

Environmental Engineering
Ocean Engineering

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10.1016/S0378-3839(02)00045-5

Cite this

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title = "A numerical model for wave motions and turbulence flows in front of a composite breakwater",

abstract = "A mathematical model based on the Volume-Averaged/Reynolds Averaged Navier-Stokes (VARANS) equations is developed to describe surface wave motions in the vicinity of a coastal structure, which could be either a rigid solid structure or a permeable structure or a combination of both. In the VARANS equations, the volume-averaged Reynolds stress is modeled by adopting the nonlinear eddy viscosity assumption. The model equations for the volume-averaged turbulent kinetic energy and its dissipation rate are derived by taking the volume-average of the standard k-ε equations. Because of the volume-averaging process, the effects of the small-scale turbulence in porous media are introduced. The performance of the model is checked by comparing numerical solutions with the experimental data related to a composite breakwater reported by Sakakiyama and Liu [Coast. Eng. 121 (2001) 117].",

author = "Hsu, {Tian Jian} and Tsutomu Sakakiyama and Liu, {Philip L.F.}",

note = "Funding Information: The research reported here has been supported through NSF grants to Cornell University (CMS-9908392, CTS-9808542, CTS-0000675). ",

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AU - Hsu, Tian Jian

AU - Sakakiyama, Tsutomu

AU - Liu, Philip L.F.

N1 - Funding Information: The research reported here has been supported through NSF grants to Cornell University (CMS-9908392, CTS-9808542, CTS-0000675).

PY - 2002

Y1 - 2002

N2 - A mathematical model based on the Volume-Averaged/Reynolds Averaged Navier-Stokes (VARANS) equations is developed to describe surface wave motions in the vicinity of a coastal structure, which could be either a rigid solid structure or a permeable structure or a combination of both. In the VARANS equations, the volume-averaged Reynolds stress is modeled by adopting the nonlinear eddy viscosity assumption. The model equations for the volume-averaged turbulent kinetic energy and its dissipation rate are derived by taking the volume-average of the standard k-ε equations. Because of the volume-averaging process, the effects of the small-scale turbulence in porous media are introduced. The performance of the model is checked by comparing numerical solutions with the experimental data related to a composite breakwater reported by Sakakiyama and Liu [Coast. Eng. 121 (2001) 117].

AB - A mathematical model based on the Volume-Averaged/Reynolds Averaged Navier-Stokes (VARANS) equations is developed to describe surface wave motions in the vicinity of a coastal structure, which could be either a rigid solid structure or a permeable structure or a combination of both. In the VARANS equations, the volume-averaged Reynolds stress is modeled by adopting the nonlinear eddy viscosity assumption. The model equations for the volume-averaged turbulent kinetic energy and its dissipation rate are derived by taking the volume-average of the standard k-ε equations. Because of the volume-averaging process, the effects of the small-scale turbulence in porous media are introduced. The performance of the model is checked by comparing numerical solutions with the experimental data related to a composite breakwater reported by Sakakiyama and Liu [Coast. Eng. 121 (2001) 117].

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A numerical model for wave motions and turbulence flows in front of a composite breakwater

Abstract

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