An efficient curvilinear non-hydrostatic model for simulating surface water waves
An efficient curvilinear non‐hydrostatic free surface model is developed to simulate surface water waves in horizontally curved boundaries. The generalized curvilinear governing equations are solved by a fractional step method on a rectangular transformed domain. Of importance is to employ a higher...
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| Published in | International journal for numerical methods in fluids Vol. 66; no. 9; pp. 1093 - 1115 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Chichester, UK
John Wiley & Sons, Ltd
30.07.2011
Wiley |
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| Abstract | An efficient curvilinear non‐hydrostatic free surface model is developed to simulate surface water waves in horizontally curved boundaries. The generalized curvilinear governing equations are solved by a fractional step method on a rectangular transformed domain. Of importance is to employ a higher order (either quadratic or cubic spline function) integral method for the top‐layer non‐hydrostatic pressure under a staggered grid framework. Model accuracy and efficiency, in terms of required vertical layers, are critically examined on a linear progressive wave case. The model is then applied to simulate waves propagating in a canal with variable widths, cnoidal wave runup around a circular cylinder, and three‐dimensional wave transformation in a circular channel. Overall the results show that the curvilinear non‐hydrostatic model using a few, e.g. 2–4, vertical layers is capable of simulating wave dispersion, diffraction, and reflection due to curved sidewalls. Copyright © 2010 John Wiley & Sons, Ltd. |
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| AbstractList | Abstract
An efficient curvilinear non‐hydrostatic free surface model is developed to simulate surface water waves in horizontally curved boundaries. The generalized curvilinear governing equations are solved by a fractional step method on a rectangular transformed domain. Of importance is to employ a higher order (either quadratic or cubic spline function) integral method for the top‐layer non‐hydrostatic pressure under a staggered grid framework. Model accuracy and efficiency, in terms of required vertical layers, are critically examined on a linear progressive wave case. The model is then applied to simulate waves propagating in a canal with variable widths, cnoidal wave runup around a circular cylinder, and three‐dimensional wave transformation in a circular channel. Overall the results show that the curvilinear non‐hydrostatic model using a few, e.g. 2–4, vertical layers is capable of simulating wave dispersion, diffraction, and reflection due to curved sidewalls. Copyright © 2010 John Wiley & Sons, Ltd. An efficient curvilinear non‐hydrostatic free surface model is developed to simulate surface water waves in horizontally curved boundaries. The generalized curvilinear governing equations are solved by a fractional step method on a rectangular transformed domain. Of importance is to employ a higher order (either quadratic or cubic spline function) integral method for the top‐layer non‐hydrostatic pressure under a staggered grid framework. Model accuracy and efficiency, in terms of required vertical layers, are critically examined on a linear progressive wave case. The model is then applied to simulate waves propagating in a canal with variable widths, cnoidal wave runup around a circular cylinder, and three‐dimensional wave transformation in a circular channel. Overall the results show that the curvilinear non‐hydrostatic model using a few, e.g. 2–4, vertical layers is capable of simulating wave dispersion, diffraction, and reflection due to curved sidewalls. Copyright © 2010 John Wiley & Sons, Ltd. |
| Author | Choi, Doo Yong Young, Chih-Chieh Wu, Chin H. |
| Author_xml | – sequence: 1 givenname: Doo Yong surname: Choi fullname: Choi, Doo Yong organization: Department of Civil and Environmental Engineering, University of Wisconsin, Madison, WI, U.S.A – sequence: 2 givenname: Chin H. surname: Wu fullname: Wu, Chin H. email: chinwu@engr.wisc.edu organization: Department of Civil and Environmental Engineering, University of Wisconsin, Madison, WI, U.S.A – sequence: 3 givenname: Chih-Chieh surname: Young fullname: Young, Chih-Chieh organization: Department of Civil and Environmental Engineering, University of Wisconsin, Madison, WI, U.S.A |
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| Keywords | Water Curvilinear coordinates Wave diffraction Dispersion (wave) diffraction non-hydrostatic reflection Digital simulation Circular pipe Fractional step method Cnoidal wave Wave reflection Wave propagation Circular cylinder Free surface flow Modelling runup dispersion curvilinear model |
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| Snippet | An efficient curvilinear non‐hydrostatic free surface model is developed to simulate surface water waves in horizontally curved boundaries. The generalized... Abstract An efficient curvilinear non‐hydrostatic free surface model is developed to simulate surface water waves in horizontally curved boundaries. The... |
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| SubjectTerms | Computational methods in fluid dynamics curvilinear model diffraction dispersion Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamic waves non-hydrostatic Physics reflection runup runup, diffraction |
| Title | An efficient curvilinear non-hydrostatic model for simulating surface water waves |
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