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 …

The magnetosheath flow may take the form of large amplitude, yet spatially localized,
transient increases in dynamic pressure, known as “magnetosheath jets” or “plasmoids” …

We document the configuration and emergent simulation features from the Geophysical
Fluid Dynamics Laboratory (GFDL) OM4. 0 ocean/sea ice model. OM4 serves as the …

High-order reconstruction schemes for the solution of hyperbolic conservation laws in
orthogonal curvilinear coordinates are revised in the finite volume approach. The …

This paper provides a primer on the mathematical, physical, and numerical foundations of
ocean models that are formulated using finite volume generalized vertical coordinate …

We present results from a new hybrid-Vlasov simulation code, Vlasiator, designed for global
magnetospheric simulations. Vlasiator represents ions by a six-dimensional distribution …

We present methods and algorithms that allow the Vlasiator code to run global, three-
dimensional hybrid-Vlasov simulations of Earth's entire magnetosphere. The key ingredients …

The state of the art of the numerics of hydrostatic structured-grid coastal ocean models is
reviewed here. First, some fundamental differences in the hydrodynamics of the coastal …

A new strategy for the vertical gridding in terrain-following 3D ocean models is presented
here. The vertical grid adaptivity is partially given by a vertical diffusion equation for the …

For decades, monochromatic large‐scale ultralow frequency (ULF) waves with a period of
about 30 s have been observed upstream of the quasi‐parallel bow shock. These waves …