336 citations · 1.5k across the 38 of their papers we have counts for
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Kinematics of fluid particles on the sea surface. Hamiltonian theory
Francesco Fedele, Cristel Chandre, Mohammad Farazmand
We derive the John-Sclavounos equations describing the motion of a fluid particle on the sea surface from first principles using Lagrangian and Hamiltonian formalisms applied to th…
An adjoint-based approach for finding invariant solutions of Navier-Stokes equations
Mohammad Farazmand
We consider the incompressible Navier--Stokes equations with periodic boundary conditions and time-independent forcing. For this type of flow, we derive adjoint equations whose tra…
Defining Coherent Vortices Objectively from the Vorticity
George Haller, Alireza Hadjighasem, Mohammad Farazmand +1
Rotationally coherent Lagrangian vortices are formed by tubes of deforming fluid elements that complete equal bulk material rotation relative to the mean rotation of the deforming…
Symmetry reduction in high dimensions, illustrated in a turbulent pipe
Ashley P. Willis, Kimberly Y. Short, Predrag Cvitanović
Equilibrium solutions are believed to structure the pathways for ergodic trajectories in a dynamical system. However, equilibria are atypical for systems with continuous symmetries…
Polar rotation angle identifies elliptic islands in unsteady dynamical systems
Mohammad Farazmand, George Haller
We propose rotation inferred from the polar decomposition of the flow gradient as a diagnostic for elliptic (or vortex-type) invariant regions in non-autonomous dynamical systems.…
Hyperbolic Lagrangian coherent structures align with contours of path-averaged scalars
Mohammad Farazmand
While inequality (9) is mathematically correct, it does not imply alignment between path-averaged scalars and the hyperbolic LCSs.