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Scaling Laws and Force Balances in Rotating Convection - Are They Consistent?

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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Explore a 47-minute lecture from the IPAM's Rotating Turbulence Workshop where Michael Calkins from the University of Colorado Boulder investigates the relationship between scaling laws and force balances in rotating convection. Delve into the challenges of predicting transport quantities in rotating convection through scaling law derivation from dominant balances in governing equations. Examine how geostrophic force balance influences rotating convection and understand the complexities of using higher order balances in vorticity equations. Learn about research findings that connect dominant balances with observed scaling laws using direct numerical simulations in both planar and spherical geometries, while also covering the asymptotic model of rotating convection in plane layer geometry. Gain insights into whether dominant balance arguments accurately describe observed dynamics in rotating convection systems.

Syllabus

Michael Calkins - Scaling laws and force balances in rotating convection: are they consistent?

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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