A Multi-Scale Approach to Global Ocean Climate Modeling

Explore a multi-scale approach to global ocean climate modeling in this 54-minute lecture from the Society for Industrial and Applied Mathematics. Delve into the concept of global multi-scale ocean models and learn about mimetic methods for C-grid quadrilaterals. Understand the importance of accurately representing geostrophic balance and the necessity of Voronoi tessellation in this method. Discover Centroidal Voronoi Tessellation (CVT) as a technique for building smooth multi-scale meshes, including its spherical variant (SCVT). Examine the climate of the Double Gyre System and observe multi-scale simulations with grid spacing ranging from 2 to 18 km. Conclude by studying a simulation of the North Atlantic that demonstrates the capability to regionally represent mesoscale eddies.

Intro
What is a global multi-scale ocean model?
A mimetic method for C-grid quadrilaterals
Accurate representation of geostrophic balance
This mimetic method requires a Voronoi tessellation
Centroidal Voronoi Tessellation (CVT): A way to build smooth multi-scale meshes.
Spherical Centroidal Voronoi Tessellation (SCVT)
The Climate of the Double Gyre System
A multi-scale simulation: grid spacing
Multi-scale simulation: 2 to 18 km
Simulation of the North Atlantic Demonstrating the ability to regionally represent mesoscale eddies