Mathematical Modeling of Two-Dimensional Depth Integrated Nonlinear Coupled Boussinesq-Type Equations for Shallow-Water Waves with Ship-Born Generation Waves in Coastal Regions

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Bibliográfalaš dieđut
Publikašuvnnas:	Journal of Marine Science and Engineering vol. 13, no. 3 (2025), p. 562
Váldodahkki:	Vinita
Eará dahkkit:	Kumar, Prashant
Almmustuhtton:	MDPI AG
Fáttát:	Spain India Bay of Bengal Confined spaces Finite volume method Coastal zone Shallow water Laplace equation Wave propagation Finite difference method Wave forces Topography Water depth Computer applications Vessels Propagation Simulation Boussinesq equations Incident waves Wave dispersion Boussinesq approximation Finite element analysis Water waves Harbors Ports Equation of continuity Investigations Typhoons Waves Wave interactions Ocean bottom Depth Wave dynamics Ships Nonlinear waves Nonlinear wave interactions Wave generation Wave interaction Bathymetry Mathematical models Environmental
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Govvádus
Abstrákta:	A hybrid computational framework integrating the finite volume method (FVM) and finite difference method (FDM) is developed to solve two-dimensional, time-dependent nonlinear coupled Boussinesq-type equations (NCBTEs) based on Nwogu’s depth-integrated formulation. This approach models nonlinear dispersive wave forces acting on a stationary vessel and incorporates a frequency dispersion term to represent ship-wave generation due to a localized moving pressure disturbance. The computational domain is divided into two distinct regions: an inner domain surrounding the ship and an outer domain representing wave propagation. The inner domain is governed by the three-dimensional Laplace equation, accounting for the region beneath the ship and the confined space between the ship’s right side and a vertical quay wall. Conversely, the outer domain follows Nwogu’s 2D depth-integrated NCBTEs to describe water wave dynamics. Interface conditions are applied to ensure continuity by enforcing the conservation of volume flux and surface elevation matching between the two regions. The accuracy of this coupled numerical scheme is verified through convergence analysis, and its validity is established by comparing the simulation results with prior studies. Numerical experiments demonstrate the model’s capability to capture wave responses to simplified pressure disturbances and simulate wave propagation over intricate bathymetry. This computational framework offers an efficient and robust tool for analyzing nonlinear wave interactions with stationary ships or harbor structures. The methodology is specifically applied to examine the response of moored vessels to incident waves within Paradip Port, Odisha, India.
ISSN:	2077-1312
DOI:	10.3390/jmse13030562
Gáldu:	Engineering Database