| A General Linear Wave Theory for Water Waves Propagating over Uneven Porous Bottoms |
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| 作者姓名： | 锁要红 黄虎 |
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| 作者单位： | ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(GrantNo.10272072),StateKeyLaboratoryofNonlinearMechanics(LNM),InstituteofMechanics,ChineseAcademyofSciences,andShanghaiKeySubjectProgram. |
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| 摘 要： | Starting from the widespread phenomena of porous bottoms in the near shore region, considering fully the diversity of bottom topography and wave number variation, and including the effect of evanescent modes, a general linear wave theory for water waves propagating over uneven porous bottoms in the near shore region is established by use of Green‘s scond identity. This theory can be reduced to a number of the most typical mild-slope equations curreutly in use and provide a reliable research basis for follow-up development of nonlinear water wave theory involving porous bottoms.
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| 关 键 词： | 多孔渗水 线性波理论 地形学 可靠性 海岸 |
A General Linear Wave Theory for Water Waves Propagating over Uneven Porous Bottoms |
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| SUO Yao-hong,and HUANG Hu.A General Linear Wave Theory for Water Waves Propagating over Uneven Porous Bottoms[J].China Ocean Engineering,2004,18(1):163-171. |
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| Authors: | SUO Yao-hong and HUANG Hu |
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| Institution: | SUO Yao-hong and HUANG Hu 1 Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China |
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| Abstract: | Starting from the widespread phenomena of porous bottoms in the near shore region, considering fully the diversity of bottom topography and wave number variation, and including the effect of evanescent modes, a general linear wave theory for water waves propagating over uneven porous bottoms in the near shore region is established by use of Green's second identity. This theory can be reduced to a number of the most typical mild-slope equations currently in use and provide a reliable research basis for follow-up development of nonlinear water wave theory involving porous bottoms. |
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| Keywords: | porous medium bottoms mild-slope equation wave number variation Green's second identity |
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