Development of a Non-hydrostatic Model for Simulating Free-surface Waves
博士 === 國立臺灣大學 === 土木工程學研究所 === 97 === A higher-order 3D non-hydrostatic model in a sigma-coordinate system is developed for simulating free-surface wave propagation from deep to shallow waters. The model using an implicit finite difference scheme on a staggered grid simultaneously solves the unstead...
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ndltd-TW-097NTU050150932016-05-04T04:31:49Z http://ndltd.ncl.edu.tw/handle/10813124454541610838 Development of a Non-hydrostatic Model for Simulating Free-surface Waves 非靜水壓模式模擬自由液面波之發展 Chih-Chieh Young 楊智傑 博士 國立臺灣大學 土木工程學研究所 97 A higher-order 3D non-hydrostatic model in a sigma-coordinate system is developed for simulating free-surface wave propagation from deep to shallow waters. The model using an implicit finite difference scheme on a staggered grid simultaneously solves the unsteady Navier–Stokes equations and the free-surface boundary condition. A higher-order top-layer pressure treatment is proposed to resolve dispersive wave propagation. To capture non-linear waves, a 4th-order spatial discretization is utilized to approximate the large horizontal pressure gradient. Based on a domain decomposition method, the 3D system matrix is decomposed into a series of 2D vertical plane problems. An efficient direct solver is developed to solve the resulting block hepta-diagonal sub-system matrix. Model’s characteristics including linear wave dispersion and non-linearity are critically examined. The model is then applied to examine a range of free-surface wave problems including the co-existence of waves and currents, non-linear deep-water wave group and near-shore wave propagating over irregular bottom. Features of wave-current, wave-wave, and wave-bottom interactions are carefully discussed. Overall, good agreement between the model results and experimental data shows that the newly developed non-hydrostatic model using a few vertical layers (e.g. 2-5) is capable of accurately and efficiently resolving various wave phenomena. 林正芳 2009 學位論文 ; thesis 156 en_US |
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博士 === 國立臺灣大學 === 土木工程學研究所 === 97 === A higher-order 3D non-hydrostatic model in a sigma-coordinate system is developed for simulating free-surface wave propagation from deep to shallow waters. The model using an implicit finite difference scheme on a staggered grid simultaneously solves the unsteady Navier–Stokes equations and the free-surface boundary condition. A higher-order top-layer pressure treatment is proposed to resolve dispersive wave propagation. To capture non-linear waves, a 4th-order spatial discretization is utilized to approximate the large horizontal pressure gradient. Based on a domain decomposition method, the 3D system matrix is decomposed into a series of 2D vertical plane problems. An efficient direct solver is developed to solve the resulting block hepta-diagonal sub-system matrix. Model’s characteristics including linear wave dispersion and non-linearity are critically examined. The model is then applied to examine a range of free-surface wave problems including the co-existence of waves and currents, non-linear deep-water wave group and near-shore wave propagating over irregular bottom. Features of wave-current, wave-wave, and wave-bottom interactions are carefully discussed. Overall, good agreement between the model results and experimental data shows that the newly developed non-hydrostatic model using a few vertical layers (e.g. 2-5) is capable of accurately and efficiently resolving various wave phenomena.
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author2 |
林正芳 |
author_facet |
林正芳 Chih-Chieh Young 楊智傑 |
author |
Chih-Chieh Young 楊智傑 |
spellingShingle |
Chih-Chieh Young 楊智傑 Development of a Non-hydrostatic Model for Simulating Free-surface Waves |
author_sort |
Chih-Chieh Young |
title |
Development of a Non-hydrostatic Model for Simulating Free-surface Waves |
title_short |
Development of a Non-hydrostatic Model for Simulating Free-surface Waves |
title_full |
Development of a Non-hydrostatic Model for Simulating Free-surface Waves |
title_fullStr |
Development of a Non-hydrostatic Model for Simulating Free-surface Waves |
title_full_unstemmed |
Development of a Non-hydrostatic Model for Simulating Free-surface Waves |
title_sort |
development of a non-hydrostatic model for simulating free-surface waves |
publishDate |
2009 |
url |
http://ndltd.ncl.edu.tw/handle/10813124454541610838 |
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