On the Relation between Enhanced Dissipation Timescales and Mixing Rates

• Published in: Communications on pure and applied mathematics Vol. 73; no. 6; pp. 1205 - 1244
• Main Authors: Zelati, Michele Coti, Delgadino, Matias G., Elgindi, Tarek M.
• Format: Journal Article
• Language: English
• Published: New York John Wiley and Sons, Limited 01.06.2020
• Subjects: Computational fluid dynamics; Diffusion rate; Fluid flow; Incompressible flow; Norms; Optimization; Polynomials; Time

We study diffusion and mixing in different linear fluid dynamics models, mainly related to incompressible flows. In this setting, mixing is a purely advective effect that causes a transfer of energy to high frequencies. When diffusion is present, mixing enhances the dissipative forces. This phenomen...