Long Wave Runup in Asymmetric Bays and in Fjords With Two Separate Heads
Long Wave Runup in Asymmetric Bays and in Fjords With Two Separate Heads
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DOI：
10.1002/2017jc013100
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发表时间：
2018-03
影响因子：
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通讯作者：
Amir Raz;D. Nicolsky;A. Rybkin;E. Pelinovsky
中科院分区：
文献类型：
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作者：
Amir Raz;D. Nicolsky;A. Rybkin;E. Pelinovsky
海啸在冰川峡湾的建模提示我们评估适用性的横截面平均非线性浅水方程模型的传播和爬高的长波在不对称的海湾，也在峡湾有两个头。我们利用Tuck-Hwang变换，最初介绍了平面海滩和目前推广的海湾具有任意横截面，将非线性控制方程转化为线性方程。通过考虑最后一个斜坡段坡脚处的入射波，计算描述海岸线处爬高的线性化方程的解。我们验证了我们的预测对直接数值模拟的2-D浅水方程，并表明我们的解决方案是有效的海湾具有不对称的L形横截面，并为峡湾有两个头湾W形横截面。
Modeling of tsunamis in glacial fjords prompts us to evaluate applicability of the cross-sectionally averaged nonlinear shallow water equations to model propagation and runup of long waves in asymmetrical bays and also in fjords with two heads. We utilize the Tuck-Hwang transformation, initially introduced for the plane beaches and currently generalized for bays with arbitrary cross section, to transform the nonlinear governing equations into a linear equation. The solution of the linearized equation describing the runup at the shore line is computed by taking into account the incident wave at the toe of the last sloping segment. We verify our predictions against direct numerical simulation of the 2-D shallow water equations and show that our solution is valid both for bays with an asymmetric L-shaped cross section, and for fjords with two heads—bays with a W-shaped cross section.