27 Feb 2024
 | 27 Feb 2024
Status: this preprint is open for discussion.

A nonhydrostatic formulation for MPAS-Ocean

Sara Calandrini, Darren Engwirda, and Luke Van Roekel

Abstract. The Model for Prediction Across Scales-Ocean (MPAS-Ocean) is an open-source, global ocean model and is one component of a family of climate models within the MPAS framework, including atmosphere, sea-ice, and land-ice models. In this work, a new formulation for the ocean model is presented that solves the nonhydrostatic, incompressible Boussinesq equations on an unstructured, staggered, z-level grid. The introduction of this nonhydrostatic capability is necessary for the resolution of internal wave dynamics and large eddy simulations. Compared to the standard, hydrostatic formulation, a nonhydrostatic pressure solver and a vertical momentum equation are added, where the PETSc (Portable Extensible Toolkit for Scientific Computation) library is used for the inversion of a large sparse system for the nonhydrostatic pressure. Numerical results on a stratified seiche, internal solitary wave, overflow and lock-exchange test cases are presented, and the parallel efficiency of the code is evaluated using up to 128 processors.

Sara Calandrini, Darren Engwirda, and Luke Van Roekel

Status: open (until 18 May 2024)

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  • CEC1: 'Comment on egusphere-2024-472', Juan Antonio Añel, 27 Mar 2024 reply
Sara Calandrini, Darren Engwirda, and Luke Van Roekel
Sara Calandrini, Darren Engwirda, and Luke Van Roekel


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Short summary
Most modern ocean circulation models only consider the hydrostatic pressure, but for coastal phenomena nonhydrostatic effects become important, creating the need to include the nonhydrostatic pressure. In this work, we present a nonhydrostatic formulation for MPAS-Ocean (MPAS-O NH) and show its correctness on idealized benchmark test cases. MPAS-O NH is the first global nonhydrostatic model at variable resolution and is the first nonhydrostatic ocean model to be fully coupled in a climate model.