170 citations · 1.2k across the 60 of their papers we have counts for
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High-order low-storage explicit Runge-Kutta schemes for equations with quadratic nonlinearities
Marc E. Brachet, Pablo D. Mininni, Duane L. Rosenberg +1
We show in this paper that third- and fourth-order low storage Runge-Kutta algorithms can be built specifically for quadratic nonlinear operators, at the expense of roughly doublin…
Generalized Eulerian-Lagrangian description of Navier-Stokes and resistive MHD dynamics
Carlos Cartes, Miguel D. Bustamante, Annick Pouquet +1
New generalized equations of motion for the Weber-Clebsch potentials that describe both the Navier-Stokes and MHD dynamics are derived. These depend on a new parameter, which has d…
A paradigmatic flow for small-scale magnetohydrodynamics: properties of the ideal case and the collision of current sheets
E. Lee, M. E. Brachet, A. Pouquet +2
We propose two sets of initial conditions for magnetohydrodynamics (MHD) in which both the velocity and the magnetic fields have spatial symmetries that are preserved by the dynami…