Ocean Modeling: Stochastic Approaches to Numerical Simulations

Explore the complexities of numerical ocean modeling in this 37-minute talk by Arthur Mariano, presented as part of the Thematic Programme on "The Dynamics of Planetary-scale Fluid Flows" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the traditional deterministic approach to ocean modeling, which involves dynamical conservation equations, initial and boundary conditions, forcing, dissipation, topography, and numerical schemes. Discover why a stochastic approach is recommended to address unresolved scales in model components. Learn about three research avenues that incorporate stochastic elements: Monte-Carlo methods for perturbing initial conditions and forcing, stochastic boundary conditions, and stochastic dissipation operators. Gain insights into the evolving field of ocean circulation and dynamics modeling through this comprehensive discussion.