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PreprintarXiv licencearXiv

A numerical method for two-dimensional Boussinesq-Full Dispersion systems modelling internal wave propagation

  • Angel Durán
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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.

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Cite

BibTeXRIS
BibTeX
@misc{duran2026numerical,
  title = {{A numerical method for two-dimensional Boussinesq-Full Dispersion systems modelling internal wave propagation}},
  author = {Angel Durán},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07659},
  eprint = {2609.07659},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07659},
}
RIS
TY  - UNPB
TI  - A numerical method for two-dimensional Boussinesq-Full Dispersion systems modelling internal wave propagation
AU  - Angel Durán
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07659
UR  - https://arxiv.org/abs/2609.07659
AB  - 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.
ER  -