We revisit the challenges and prospects for ocean circulation models following Griffies et al..
Over the past decade, ocean circulation models evolved through improved understanding …

Life in the ocean relies on the photosynthetic production of phytoplankton, which is
influenced by the availability of light and nutrients that are modulated by a host of physical …

The numerical implementation of an ocean model based on the incompressible Navier
Stokes equations which is designed for studies of the ocean circulation on horizontal scales …

Ocean models based on consistent hydrostatic, quasi‐hydrostatic, and nonhydrostatic
equation sets are formulated and discussed. The quasi‐hydrostatic and nonhydrostatic sets …

Springtime phytoplankton blooms photosynthetically fix carbon and export it from the surface
ocean at globally important rates. These blooms are triggered by increased light exposure of …

A numerical technique is presented for the approximation of vertical gradient of the non‐
hydrostatic pressure arising in the Reynolds‐averaged Navier–Stokes equations for …

A finite-volume formulation is presented that solves the three-dimensional, nonhydrostatic
Navier–Stokes equations with the Boussinesq approximation on an unstructured, staggered …

In this paper a semi‐implicit finite difference model for non‐hydrostatic, free‐surface flows is
analyzed and discussed. It is shown that the present algorithm is generally more accurate …

Numerical models that assume hydrostatic pressure are usually sufficiently accurate for
applications in civil engineering where the vertical component of the velocity is relatively …

A semi-implicit numerical model for the three-dimensional Navier-Stokes equations on
unstructured grids is derived and discussed. The governing differential equations are …