Second-order theory for coupling 2D numerical and physical wave tanks: Derivation, evaluation and experimental validation

Publication: Research - peer-reviewJournal article – Annual report year: 2013

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Second-order theory for coupling 2D numerical and physical wave tanks: Derivation, evaluation and experimental validation. / Yang, Zhiwen; Liu, Shuxue; Bingham, Harry B.; Li, Jinxuan.

In: Coastal Engineering, Vol. 71, 2013, p. 37-51.

Publication: Research - peer-reviewJournal article – Annual report year: 2013

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Author

Yang, Zhiwen; Liu, Shuxue; Bingham, Harry B.; Li, Jinxuan / Second-order theory for coupling 2D numerical and physical wave tanks: Derivation, evaluation and experimental validation.

In: Coastal Engineering, Vol. 71, 2013, p. 37-51.

Publication: Research - peer-reviewJournal article – Annual report year: 2013

Bibtex

@article{9394ddb55f544451a828d7e339556c10,
title = "Second-order theory for coupling 2D numerical and physical wave tanks: Derivation, evaluation and experimental validation",
keywords = "Second-order coupling, Numerical wave tanks, Physical wave tanks, Wavemaker theory",
publisher = "Elsevier BV",
author = "Zhiwen Yang and Shuxue Liu and Bingham, {Harry B.} and Jinxuan Li",
year = "2013",
doi = "10.1016/j.coastaleng.2012.07.003",
volume = "71",
pages = "37--51",
journal = "Coastal Engineering",
issn = "0378-3839",

}

RIS

TY - JOUR

T1 - Second-order theory for coupling 2D numerical and physical wave tanks: Derivation, evaluation and experimental validation

A1 - Yang,Zhiwen

A1 - Liu,Shuxue

A1 - Bingham,Harry B.

A1 - Li,Jinxuan

AU - Yang,Zhiwen

AU - Liu,Shuxue

AU - Bingham,Harry B.

AU - Li,Jinxuan

PB - Elsevier BV

PY - 2013

Y1 - 2013

N2 - A full second-order theory for coupling numerical and physical wave tanks is presented. The ad hoc unified wave generation approach developed by Zhang et al. [Zhang, H., Schäffer, H.A., Jakobsen, K.P., 2007. Deterministic combination of numerical and physical coastal wave models. Coast. Eng. 54, 171–186] is extended to include the second-order dispersive correction. The new formulation is presented in a unified form that includes both progressive and evanescent modes and covers wavemaker configurations of the piston- and flap-type. The second order paddle stroke correction allows for improved nonlinear wave generation in the physical wave tank based on target numerical solutions. The performance and efficiency of the new model is first evaluated theoretically based on second order Stokes waves. Due to the complexity of the problem, the proposed method has been truncated at 2D and the treatment of regular waves, and the re-reflection control on the wave paddle is also not included. In order to validate the solution methodology further, a series of nonlinear, periodic waves based on stream function theory are generated in a physical wave tank using a piston-type wavemaker. These experiments show that the new second-order coupling theory provides an improvement in the quality of nonlinear wave generation when compared to existing techniques.

AB - A full second-order theory for coupling numerical and physical wave tanks is presented. The ad hoc unified wave generation approach developed by Zhang et al. [Zhang, H., Schäffer, H.A., Jakobsen, K.P., 2007. Deterministic combination of numerical and physical coastal wave models. Coast. Eng. 54, 171–186] is extended to include the second-order dispersive correction. The new formulation is presented in a unified form that includes both progressive and evanescent modes and covers wavemaker configurations of the piston- and flap-type. The second order paddle stroke correction allows for improved nonlinear wave generation in the physical wave tank based on target numerical solutions. The performance and efficiency of the new model is first evaluated theoretically based on second order Stokes waves. Due to the complexity of the problem, the proposed method has been truncated at 2D and the treatment of regular waves, and the re-reflection control on the wave paddle is also not included. In order to validate the solution methodology further, a series of nonlinear, periodic waves based on stream function theory are generated in a physical wave tank using a piston-type wavemaker. These experiments show that the new second-order coupling theory provides an improvement in the quality of nonlinear wave generation when compared to existing techniques.

KW - Second-order coupling

KW - Numerical wave tanks

KW - Physical wave tanks

KW - Wavemaker theory

U2 - 10.1016/j.coastaleng.2012.07.003

DO - 10.1016/j.coastaleng.2012.07.003

JO - Coastal Engineering

JF - Coastal Engineering

SN - 0378-3839

VL - 71

SP - 37

EP - 51

ER -