Hybrid finite analytic solutions of shallow water circulation

IntroductionThepredictionoftidalandstormsurgesisessentialfornavigation ,fishingandprotectionofthecoast.Furtherthedeterminationofhydrodynamiccirculationbecomesnecessaryforthemodelingofdispersionofpollutants,sedimenttransportandsalinitydistribution .Recently ,somekindsofnumericalmodelingtechniqueshavebeenextensivelydevelopedinthelasttwodecades.Inordertoimprovethewaterqualityinabays/lagoons ,manymethodshavebeenproposedbyresearchers.Forexample ,Komatsuetal.(2 0 0 0 ) [1] proposedanewmethodtocontr…     

Natural harmonic oscillations of a heavy fluid in basins of complex shape

The natural harmonic oscillations of a heavy fluid in uniform-depth basins of complex shape, including those with three or more symmetry axes, are investigated within the shallow-water approximation. The waves are assumed to be gently sloping. The modes found are compared with the similar modes in an elliptic basin representing the class of basins with two symmetry axes. The mode characteristics associated with the number of basin symmetry axes and the basin shape are explored. Basins with two symmetry axes whose shape differs considerably from the elliptic, in particular, nonconvex basins, are considered. Both rotating and non-rotating basins are studied. The possibility of approximating the amplitudes of certain rotating-basin mode classes by Bessel functions is discussed.     

湖震现象理论分析

用浅水波理论为湖震现象进行了分析，结果表明，湖震可以用驻波的概念解释。     

浅水回流的混合有限分析解

混合有限分析法是一种在局部矩形单元上进行离散的数值格式,为了适应非规则边界,建立了Sigma坐标系的浅水回流数学模型。采用1)风引起的回流,2)密度驱动的回流,3)假潮,来检验数学模型和数值方法。计算结果和相应的分析解的比较表明模型和方法是可行的有效的。该技术可用于近海水域的水流和水质的数值模拟。