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基于Boussinesq方程的波浪分层数值模拟方法
作者:白志刚 王海珑 
单位:天津大学建筑工程学院 天津大学建筑工程学院 天津 300072   天津 300072 
关键词:Boussinesq方程  波浪  数值模拟  分层 
分类号:TV139
出版年,卷(期):页码:2005,29(2):11-13
摘要:
对波浪进行精确的数值模拟一直是人们所关注的,采用在Boussinesq方程的基础上将垂向流速断面进行分层,在每一层中对流速断面进行积分,求得各层平均流速,用此平均流速来代替每一层的流速,并在各层间加上界面边界条件,以求出流速和自由表面位移,这样可以得出精确的波浪数学模型。本文例举了规则波经过淹没潜堤时的传播变形实验,验证了二层Boussinesq模型在实际运用中的精确性。
We always emphasize that it is important to exactly model waves.Based on the Boussinesq equation, divide the vertical velocity profile into several layers, then integrate the velocity profile in every layer, evaluate the average velocity in the every layer, and use this average velocity to replace every layer velocity ,add up to the interface boundary conditions of each layer to resolve the velocity and free-face,thus acquiring the exact wave model .Here, we discuss the regular wave evolution over a submerged breakwater to validate the accuracy by using the Two-layer Boussinesq model in the practical engineering .
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参考文献:
[1] BoussinesqJ.Theoryofwaveandswellspropagatedinlonghorizontalrectangularcanalandimpartingtotheliquidcontainedinthiscanal[J].JournaldeMathematiquesPuresetAppliquees,1982,17(2):55-108. [2] PeregrineDh.Longwaveonabeach[J].FluidMech,1967,27(4):815-827. [3] AbbottMB,PetersenHM,SkovgoardO.Onthenumericalmodelingofshortwavesinshallowwater[J].HydraulicResearch,1978,16(3):173-203. [4] AbbottMB,McCowanAD,WarrenIR.Accuracyofshortwavenumericalmodels[J].HydraulEng,1984,110(10):1287~1301. [5] 邹志利.适合复杂地形的高阶Boussinesq水波方程[J].海洋学报,2001,23(1). [6] HongGuangwen,ZhangHongsheng.Numericalsimulationofnon-linearthree-dimensionalwavesinwaterofarbitraryvaryingtopography[J].ChinaOceanEngineering,1998,12(4):383-404 [7] DingemansM.ComparisonofcomputationswithBoussinseq-likemodelsandlaboratorymeasurements[M].DelftHydraulics,1994.
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