Submitted as: development and technical paper
13 Dec 2021
Submitted as: development and technical paper | 13 Dec 2021
Status: a revised version of this preprint was accepted for the journal GMD.

WAVETRISK-2.1: an adaptive dynamical core for ocean modelling

Nicholas Keville-Reynolds Kevlahan1 and Florian Lemarié2 Nicholas Keville-Reynolds Kevlahan and Florian Lemarié
  • 1Department of Mathematics and Statistics, McMaster University, Hamilton, Canada
  • 2Université Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, Grenoble, France

Abstract. This paper introduces WAVETRISK-2.1 (i.e. WAVETRISK-OCEAN), an incompressible version of the atmosphere model wavetrisk-1.x with free-surface. This new model is built on the same wavelet-based dynamically adaptive core as wavetrisk, which itself uses DYNANICO's mimetic vector-invariant multilayer rotating shallow water formulation. Both codes use a Lagrangian vertical coordinate with conservative remapping. The ocean variant solves the incompressible multilayer shallow water equations with inhomogeneous density layers. Time integration uses barotropic--baroclinic mode splitting via an semi-implicit free surface formulation, which is about 34–44 times faster than an unsplit explicit time-stepping. The barotropic and baroclinic estimates of the free surface are reconciled at each time step using layer dilation. No slip boundary conditions at coastlines are approximated using volume penalization. The vertical eddy viscosity and diffusivity coefficients are computed from a closure model based on turbulent kinetic energy (TKE). Results are presented for a standard set of ocean model test cases adapted to the sphere (seamount, upwelling and baroclinic turbulence). An innovative feature of wavetrisk-ocean is that it could be coupled easily to the wavetrisk atmosphere model, thus providing a first building block toward an integrated Earth-system model using a consistent modelling framework with dynamic mesh adaptivity and mimetic properties.

Nicholas Keville-Reynolds Kevlahan and Florian Lemarié

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on gmd-2021-365', Mike Bell, 13 Jan 2022
    • AC1: 'Reply on RC1', Nicholas Kevlahan, 08 Jun 2022
  • RC2: 'Comment on gmd-2021-365', Anonymous Referee #2, 25 Apr 2022
    • AC2: 'Reply on RC2', Nicholas Kevlahan, 08 Jun 2022

Nicholas Keville-Reynolds Kevlahan and Florian Lemarié

Nicholas Keville-Reynolds Kevlahan and Florian Lemarié


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Short summary
WAVETRISK-2.1 is an innovative climate model for the world's oceans. It uses state-of-the-art techniques to change the model's resolution locally, from O(100 km) to O(5 km), as the ocean changes. This dynamic adaptivity makes optimal use of available supercomputer resources, and allows two-dimensional global scales and three-dimensional submesoscales to be captured in the same simulation. WAVETRISK-2.1 is designed to be coupled its companion global atmosphere model, WAVETRISK-1.x.