A Numerical Method for Solving the Forced Baroclinic Coastal-Trapped Wave Problem of General Form
A Numerical Method for Solving the Forced Baroclinic Coastal-Trapped Wave Problem of General Form
复制标题
求解一般形式的强迫斜压沿岸陷波问题的数值方法
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
D. Holland
中科院分区：
文献类型：
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作者：
I. Webster;D. Holland
摘要在不作长波假设的情况下，确定斜压海岸捕获波模态的问题归结为特征值的二次型问题。该问题可以表示为一个扩维线性特征值问题。考虑扩展的问题允许直接确定正交于斜压本征模的函数集。利用这组方程，强迫斜压响应问题可以表示为一系列一阶常微分方程，每个强迫本征模态对应一个方程。提出的方法代表了两个重大进展。首先，解决方案的技术允许计算复杂的波数直接作为他们将导致从倏逝解决方案或解决方案，包括底部摩擦的测定。第二，强迫波的解决方案，非线性方程的本征值可以确定。虽然该方法已被描述的斜压海岸捕获波的背景下，它有更多的…
Abstract The determination of baroclinic coastal-trapped wave modes reduces to an eigenvalue problem quadratic in the eigenvalue if the long-wave assumption is not made. This problem can be expressed as a linear eigenvalue problem of expanded dimension. Consideration of the expanded problem permits direct determination of the set of functions orthogonal to the baroclinic eigenmodes sought. Using this set, the forced baroclinic response problem can be expressed as a series of first-order, ondinary differential equations, one for each forced eigenmode. The method presented represents two significant advances. First, the solution technique permits the calculation of complex wavenumbers directly as they would result from the determination of evanescent solutions or of solutions including bottom friction. Second, the forcing of waves that are solutions to equations nonlinear in the eigenvalue can be determined. Although the method has been described in the context of baroclinic coastal-trapped waves, it has mo...