Bulletin of the American Physical Society
75th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 20–22, 2022; Indiana Convention Center, Indianapolis, Indiana.
Session U19: Convection and Buoyancy-Driven Flows: Stratified Flow
8:00 AM–10:36 AM,
Tuesday, November 22, 2022
Chair: Francesco Zonta, Vienna Univ of Technology
Abstract: U19.00001 : An analytical model for a density current from a supercritical to a subcritical state
8:00 AM–8:13 AM
To go further mathematically with this theoretical model, we propose in this study an algebraic development allowing a direct calculation of the evolution of the Richardson number as a function of the length of the studied domain. This method provides direct results, in contrast to those obtained by a computational resolution of coupled ordinary differential equations. This method also gives the variations of the primary variables from the Richardson number. It is even possible, for the limiting cases, to find strict analytical solutions by means of asymptotic developments. We perform numerical simulations using the large-eddy simulation code CALIF3S-Isis to obtain reference results and compare them with the theoretical solutions obtained. The extension proposed is interesting and allows, in a qualitatively acceptable way, the non-monotonic evolution of the density current primary variables to be reproduced.
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