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This paper extends the theoretical Euler–Poincaré framework for modelling ocean mixed layer dynamics. Through a symmetry-broken Lie group invariant variational principle, we derive a generalised Green–Naghdi equation with time-dependent bathymetry, a complete Coriolis force, and inhomogeneity of the thermal buoyancy. The nature of the model derived here lends it a potential future application to wave dynamics generated by changes to the bathymetry.

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A Thermal Green–Naghdi Model with Time-Dependent Bathymetry and Complete Coriolis Force

  • 会议论文

  • 出版模式：

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  • 发表日期：

    2026年

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  • Darryl D. Holm,
  • Oliver D. Street

摘要

This paper extends the theoretical Euler–Poincaré framework for modelling ocean mixed layer dynamics. Through a symmetry-broken Lie group invariant variational principle, we derive a generalised Green–Naghdi equation with time-dependent bathymetry, a complete Coriolis force, and inhomogeneity of the thermal buoyancy. The nature of the model derived here lends it a potential future application to wave dynamics generated by changes to the bathymetry.