Work

A New Theoretical Envelope Framework in the Hamiltonian Theory of Nonlinear Deep- and Finite-water Surface Gravity Waves

Year: 2025

Type: article

Abstract: An extensive body of literature has addressed the question that how we can accurately and efficiently predict the spatial-temporal evolution of surface gravity waves in the open ocean and coastal waters. The main methods for an answer to it can be partitioned into two groups: (i) theoretical frameworks which make use of Fourier transforms such as a nonlinear Schrödinger (NLS) equation-based model [1], the High-Order Spectral method (HOS) [2,3], and Zakharov integral equations[4,5], and (ii) direct numerical solvers which propose to obtain the numerical solution of the fully nonlinear potential flow equations like OceanWave3D[6], Reef3D[7], and a harmonic polynomial cell method [8]. Generally, the first group has been known to excel at numerical efficiency[9].

Source: Coastal Engineering Proceedings

DOI: 10.9753/icce.v38.waves.88

Authors: Yan Li, Wenyue Lv

Institutions: Shanghai Jiao Tong University, State Key Laboratory of Ocean Engineering, University of Bergen

Language: English

Topic: Ocean Waves and Remote Sensing

Subfield: Oceanography

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410867678

FWCI:

Cites: 11

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Related to: 10