Simultaneous identification of velocity and water depth of linear water waves

In this paper, we propose an algorithm of identification in order to simultaneously estimate the velocity of water waves and the water depth in coastal region. We assume that the motion of water waves is described by linearized water wave equation (LWWE) and the surface wave elevation is measurable....

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Bibliographic Details
Main Authors: Yu, Yang, Pei, Hai-Long, Xu, Cheng-Zhong
Format: Conference Proceeding
Language:English
Subjects:
Boundary conditions
gradient descent method
Hilbert space
infinite dimensional system
Laplace equations
LWWE
Numerical simulation
Propagation
Surface waves
velocity
Water conservation
water depth
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Summary:In this paper, we propose an algorithm of identification in order to simultaneously estimate the velocity of water waves and the water depth in coastal region. We assume that the motion of water waves is described by linearized water wave equation (LWWE) and the surface wave elevation is measurable. Based on the gradient descent method, we design an algorithm of identification to recover simultaneously both the velocity of water waves and the water depth. Numerical simulations are carried out to show the effectiveness of the algorithm.
ISSN:2161-2927
DOI:10.23919/ChiCC.2019.8865790