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Addressing anamolous diffusion of turbulent flows using fractional derivatives

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TUR - Mathematical aspects of turbulence: where do we stand?

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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