TRR 181 Seminar "Flow dynamics representation under location uncertainty"
The TRR 181 seminar is held every two weeks in the semester and as announced during semester break. The locations of the seminar changes between the three TRR181 locations, but is broadcastet online for all members of the TRR.
The TRR 181 seminar is held by Etienne Mémin (INRIA Rennes) on
Flow dynamics representation under location uncertainty
at Universität Hamburg on December 14 at 10 am, Bundesstr. 53, room 22/23 (ground floor).
*Abstract*
In this talk I will describe a formalism to derive in a systematic way a large-scale representation of fluid flows dynamics that allows taking into account the inherent uncertainty attached to the flow evolution. This uncertainty, introduced here and described through a random field, aims at representing principally the small-scale effects that are neglected in the large-scale evolution model. The resulting large-scale dynamic system is obtained from a stochastic representation of the Reynolds transport theorem. This formalism enables to derive, in the very same way as in the deterministic case, a physically relevant stochastic representation (ie from the usual conservation law) of the sought evolution laws. We will review and discuss such a representation for some classical geophysical models. We will provide also several examples on its use in different context.