187 citations · 1.2k across the 35 of their papers we have counts for
5 papers · 1 filter
Corner cases of the tau method: symmetrically imposing boundary conditions on hypercubes
Keaton J. Burns, Daniel Fortunato, Keith Julien +1
Polynomial spectral methods produce fast, accurate, and flexible solvers for broad ranges of PDEs with one bounded dimension, where the incorporation of general boundary conditions…
Staircase solutions and stability in vertically confined salt-finger convection
Chang Liu, Keith Julien, Edgar Knobloch
Bifurcation analysis of confined salt-finger convection using single-mode equations obtained from a severely truncated Fourier expansion in the horizontal is performed. Strongly no…
Spontaneous suppression of inverse energy cascade in instability-driven 2D turbulence
Adrian van Kan, Benjamin Favier, Keith Julien +1
Instabilities of fluid flows often generate turbulence. Using extensive direct numerical simulations, we study two-dimensional turbulence driven by a wavenumber-localised instabili…
A gyroscopic polynomial basis in the sphere
Abram C. Ellison, Keith Julien, Geoffrey M. Vasil
Standard spectral codes for full sphere dynamics utilize a combination of spherical harmonics and a suitableradial basis to represent fluid variables. These basis functions have a…
Experimental observation of the geostrophic turbulence regime of rapidly rotating convection
Vincent Bouillaut, Benjamin Miquel, Keith Julien +2
The competition between turbulent convection and global rotation in planetary and stellar interiors governs the transport of heat and tracers, as well as magnetic-field generation.…