7 citations · 13 across the 4 of their papers we have counts for
4 papers
Quasi-geostrophic Rayleigh-Bénard convection on the tilted -plane
Benjamin Miquel, Abram Ellison, Michael A. Calkins +2
Rapidly rotating Rayleigh-Bénard convection on a -plane at colatitude is investigated numerically using an asymptotically reduced equation set valid in the limit o…
Gyroscopic polynomials
Abram C. Ellison, Keith Julien
Gyroscopic alignment of a fluid occurs when flow structures align with the rotation axis. This often gives rise to highly spatially anisotropic columnar structures that in combinat…
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…
A parallel-in-time approach for wave-type PDEs
Abe C. Ellison, Bengt Fornberg
Numerical solutions to wave-type PDEs utilizing method-of-lines require the ODE solver's stability domain to include a large stretch of the imaginary axis surrounding the origin. W…