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SUMMARY:Michael Roop (Chalmers & GU)
DTSTART:20251215T121500Z
DTEND:20251215T130000Z
DTSTAMP:20260417T004752Z
UID:cam/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/81/">Str
 ucture preservation in geophysical fluid dynamics</a>\nby Michael Roop (Ch
 almers & GU) as part of CAM seminar\n\nLecture held in MV:L14.\n\nAbstract
 \nGeophysical fluid dynamics (GFD) describes flows of fluids on a planetar
 y scale. We will discuss the recent contribution to the hierarchy of GFD m
 odels developed in [1]\, called thermal quasi-geostrophic (TQG) equations 
 on the sphere. We will give Arnold’s formulation of TQG. Surprisingly\, 
 the TQG equations are formulated in terms of Morrison-Greene brackets (sem
 idirect product brackets) discovered long ago for another theory - magneto
 hydrodynamics (MHD). Further\, we will discuss the structure-preserving di
 scretisation for TQG based on Zeitlin’s matrix equations and the Lie-Poi
 sson time integrator developed for semidirect products\, and finally we wi
 ll see some simulations.\n\n[1] M. Roop\, S. Ephrati. Thermal quasi-geostr
 ophic model on the sphere: Derivation and structure-preserving simulation.
  Phys. Fluids. 37\, 096601. 2025.\n
LOCATION:https://researchseminars.org/talk/cam/81/
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