A numerical method for two-dimensional Boussinesq-Full Dispersion systems modelling internal wave propagation
Year: 2026
Type: preprint
Abstract: The paper is concerned with the numerical approximation of some two-dimensional asymptotic models for the propagation of internal waves in a two-layer system in the form of pde's for the interfacial deviation and the velocity. After the study of well-posedness of the periodic initial-value problem, the convergence of a semidiscrete approximation based on a spectral Fourier-Galerkin method is analyzed. The resulting semidiscrete system is then integrated numerically in time with the implicit midpoint rule. Some properties of the fully discrete scheme are described and its performance is illustrated with some numerical experiments.
Source: arXiv (Cornell University)
Author: Durán, Angel
Institution: Universidad de Valladolid
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2870349190, G745419941
OpenAlex ID: W7211990403
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