Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry

A. Najafi-Jilani; B. Ataie-Ashtiani

Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Extended Boussinesq-type water wave equations are derived in two horizontal dimensions to capture the nonlinearity effects and frequency dispersion of wave in a high accuracy order. A multi-parameter perturbation analysis is applied in several steps to extend the previous second order Boussinesq-type equations in to 6th order for frequency dispersion and consequential order for nonlinearity terms. The presented high-order Boussinesq-type equation is applied in a numerical model to simulate the wave field transformation due to physical processes such as shoaling, refraction and diffraction. The models results are compared with available experimental data which obtained in a laboratory wave flume with varying bottom in Delft Hydraulic Institute and an excellent agreement is obtained.

Original language	English
Title of host publication	Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009
Pages	213-218
Number of pages	6
Publication status	Published - 1 Dec 2009
Externally published	Yes
Event	International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009 - Kyoto, Japan Duration: 25 May 2009 → 27 May 2009

Publication series

Name	Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009

Conference

Conference	International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009
Country	Japan
City	Kyoto
Period	25/05/09 → 27/05/09

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Najafi-Jilani, A., & Ataie-Ashtiani, B. (2009). Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry. In Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009 (pp. 213-218). (Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009).

Najafi-Jilani, A. ; Ataie-Ashtiani, B. / Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry. Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009. 2009. pp. 213-218 (Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009).

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title = "Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry",

abstract = "Extended Boussinesq-type water wave equations are derived in two horizontal dimensions to capture the nonlinearity effects and frequency dispersion of wave in a high accuracy order. A multi-parameter perturbation analysis is applied in several steps to extend the previous second order Boussinesq-type equations in to 6th order for frequency dispersion and consequential order for nonlinearity terms. The presented high-order Boussinesq-type equation is applied in a numerical model to simulate the wave field transformation due to physical processes such as shoaling, refraction and diffraction. The models results are compared with available experimental data which obtained in a laboratory wave flume with varying bottom in Delft Hydraulic Institute and an excellent agreement is obtained.",

author = "A. Najafi-Jilani and B. Ataie-Ashtiani",

year = "2009",

month = dec,

day = "1",

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booktitle = "Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009",

note = "International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009 ; Conference date: 25-05-2009 Through 27-05-2009",

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Najafi-Jilani, A & Ataie-Ashtiani, B 2009, Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry. in Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009. Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009, pp. 213-218, International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009, Kyoto, Japan, 25/05/09.

Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry. / Najafi-Jilani, A.; Ataie-Ashtiani, B.

Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009. 2009. p. 213-218 (Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry

AU - Najafi-Jilani, A.

AU - Ataie-Ashtiani, B.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - Extended Boussinesq-type water wave equations are derived in two horizontal dimensions to capture the nonlinearity effects and frequency dispersion of wave in a high accuracy order. A multi-parameter perturbation analysis is applied in several steps to extend the previous second order Boussinesq-type equations in to 6th order for frequency dispersion and consequential order for nonlinearity terms. The presented high-order Boussinesq-type equation is applied in a numerical model to simulate the wave field transformation due to physical processes such as shoaling, refraction and diffraction. The models results are compared with available experimental data which obtained in a laboratory wave flume with varying bottom in Delft Hydraulic Institute and an excellent agreement is obtained.

AB - Extended Boussinesq-type water wave equations are derived in two horizontal dimensions to capture the nonlinearity effects and frequency dispersion of wave in a high accuracy order. A multi-parameter perturbation analysis is applied in several steps to extend the previous second order Boussinesq-type equations in to 6th order for frequency dispersion and consequential order for nonlinearity terms. The presented high-order Boussinesq-type equation is applied in a numerical model to simulate the wave field transformation due to physical processes such as shoaling, refraction and diffraction. The models results are compared with available experimental data which obtained in a laboratory wave flume with varying bottom in Delft Hydraulic Institute and an excellent agreement is obtained.

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M3 - Conference contribution

AN - SCOPUS:84859847144

SN - 9780415804820

T3 - Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009

SP - 213

EP - 218

BT - Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009

T2 - International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009

Y2 - 25 May 2009 through 27 May 2009

ER -

Najafi-Jilani A, Ataie-Ashtiani B. Develop of a fully nonlinear and highly dispersive water wave equation set; analysis of wave interacting with varying bathymetry. In Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009. 2009. p. 213-218. (Prediction and Simulation Methods for Geohazard Mitigation - Proceedings of the International Symposium on Prediction and Simulation Methods for Geohazard Mitigation, IS-KYOTO 2009).