Josefin Ahlkrona: Numerical Discretization of the Primitive Equations with Multiplicative Noise - Towards Application to Ice-Ocean Modelling
On 2019-03-13 kl 15.15 - 16.15
Josefin Ahlkrona (Stockholm University)
Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University ￼
Abstract: The Primitive Equations is a system of partial differential equations that are extensively used in climate models to represent oceanic and atmospheric flow. Numerical discretizations of the Primitive Equations are well-studied in the deterministic case, but in the stochastic setting there are only a few analyses. Here we let a stochastic forcing term represent the (uncertain) impact of sea ice on oceanic flow, and discretize in both space and time by employing an finite element method and an Euler backward scheme. We give an overview of the numerical method used and present ongoing work on deriving strong convergence rates for the spatiotemporal discretization, which builds on recent advances made in the field of the stochastic Navier-Stokes equations. This project is a collaboration with Claudine von Hallern at Kiel University.