120 citations · 212 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
Three regularization models of the Navier-Stokes equations
J. Pietarila Graham, Darryl Holm, Pablo Mininni +1
We determine how the differences in the treatment of the subfilter-scale physics affect the properties of the flow for three closely related regularizations of Navier-Stokes. The c…
Highly turbulent solutions of LANS-alpha and their LES potential
J. Pietarila Graham, Darryl Holm, Pablo Mininni +1
We compute solutions of the Lagrangian-Averaged Navier-Stokes alpha-model (LANS) for significantly higher Reynolds numbers (up to Re 8300) than have previously been accomplished. T…
Inertial Range Scaling, Karman-Howarth Theorem and Intermittency for Forced and Decaying Lagrangian Averaged MHD in 2D
J. Pietarila Graham, D. D. Holm, P. Mininni +1
We present an extension of the Karman-Howarth theorem to the Lagrangian averaged magnetohydrodynamic (LAMHD-alpha) equations. The scaling laws resulting as a corollary of this theo…