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SUMMARY:Generalised Lagrangian Mean: formulation and computation - Profess
 or Jacques Vanneste\, University of Edinburgh
DTSTART:20241101T160000Z
DTEND:20241101T170000Z
UID:TALK222310@talks.cam.ac.uk
CONTACT:Professor Grae Worster
DESCRIPTION:Many fluid dynamical phenomena are the result of interactions 
 between small-scale or high-frequency fluctuations – associated with wav
 es or turbulence – and mean flows. Modelling these requires some form of
  averaging to obtain coarse-grained models in which the effect of fluctuat
 ions is parameterised. In this context\, Lagrangian averaging\, whereby av
 erages are computed along fluid trajectories\, has advantages over the mor
 e straightforward Eulerian averaging\, mainly because it preserves the adv
 ective structure of the equations of motion. The theory of generalised Lag
 rangian mean (GLM) formulated by Andrews & McIntyre provides the basis for
  the derivation of convenient Lagrangian-averaged models. In this talk\, I
  will introduce this theory and show how a geometric perspective helps its
  interpretation and generalisation. I will then discuss recently introduce
 d numerical methods for the computation of (temporal) Lagrangian averages 
 from numerical simulation data. These methods avoid the explicit tracking 
 of particles\, replacing it by the solution of partial different equations
  that can be carried out on-the-fly\, in tandem with the simulation.\n\nCa
 ssyni Link below:\n\nhttps://cassyni.com/events/GmpdUB2wPf4bTFHn3rJ7vm\n
LOCATION:Fluid Mechanics Webinar Series
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