Addressing anamolous diffusion of turbulent flows using fractional derivatives

Speaker(s) Pavan Pranjivan Mehta Brown University
Date 13 April 2022 – 13:00 to 14:00
Venue INI Seminar Room 2
Session Title Addressing anamolous diffusion of turbulent flows using fractional derivatives
Event [TUR] Mathematical aspects of turbulence: where do we stand?
Abstract

Turbulence exhibits long range interactions and has multiple scales. Resolving all scales with fine grids implies non-locality is addressed by subsequent resolution of local dynamics. However, if only spatially or temporally averaged fields are solved for computational feasibility of real world applications, then addressing non-locality explicitly becomes important due to absence of information of interactions between two points. In this work, the author demonstrates the use of variable order fractional derivatives for wall bounded turbulent flows as a closure model which addresses the duality of local and non-local characteristics.

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