Finite Difference Schemes for Partial Differential Equations in Oceanography - Munk Equation and Shallow Water Equations

Explore high-order finite difference schemes for the Munk equation and Shallow Water equations in this 47-minute conference talk from the Erwin Schrödinger International Institute's Thematic Programme on "The Dynamics of Planetary-scale Fluid Flows." Delve into the design of numerical methods for modeling sharp boundary layers in oceanography, focusing on western boundary currents. Examine the use of the Cubed Sphere grid for solving Shallow Water equations, and analyze various numerical and convergence results for both equation types. Gain insights into advanced computational techniques for simulating complex fluid dynamics in planetary-scale systems.