68 citations · 519 across the 21 of their papers we have counts for
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Wall-to-wall optimal transport in two dimensions
Andre N. Souza, Ian Tobasco, Charles R. Doering
Gradient ascent methods are developed to compute incompressible flows that maximize heat transport between two isothermal no-slip parallel walls. Parameterizing the magnitude of ve…
Optimal wall-to-wall transport by incompressible flows
Ian Tobasco, Charles R. Doering
We consider wall-to-wall transport of a passive tracer by divergence-free velocity vector fields . Given an enstrophy budget $\langle |\nabla \mathbf{u}|^{2} \rangle \l…
Wall to Wall Optimal Transport
Pedram Hassanzadeh, Gregory P. Chini, Charles R. Doering
The calculus of variations is employed to find steady divergence-free velocity fields that maximize transport of a tracer between two parallel walls held at fixed concentration for…
Navier-Stokes solver using Green's functions I: channel flow and plane Couette flow
Divakar Viswanath, Ian Tobasco
Numerical solvers of the incompressible Navier-Stokes equations have reproduced turbulence phenomena such as the law of the wall, the dependence of turbulence intensities on the Re…