TRR 181 Seminar "Stochastic subgrid-scale parameterizations constructed using homogenization and response theory"

The TRR 181 seminar is held by Dr. Stamen Dolaptchiev (Goethe Universität Frankfurt am Main) on

Stochastic subgrid-scale parameterizations constructed using homogenization and response theory

at Universität Hamburg on July 6 at 10 am, Bundesstr. 53, room 24 (ground floor).

Abstract

The development of stochastic parameterizations constrained by first principles is a topic of ongoing research, when modeling unresolved processes in the atmosphere-ocean system. Theoretical developments such as the homogenization method or linear response theory provide here possible routes. In this talk we present a framework for the development of stochastic parameterizations for local averages in the finite difference discretization of the model equations. The method is based on a homogenization technique known as stochastic mode reduction (Majda, Timofeyev and Vanden-Eijnden, 2001, Commun. Pure Appl. Math.). We show results for the forced Burgers equation, but also the application to the shallow water equations is discussed. We compare the stochastic mode reduction approach with the recently developed response theory method of Wouters and Lucarini (2013, J. Stat. Mech. Theor. Exp.) by considering multiscale triad systems.