189 citations · 1.6k across the 88 of their papers we have counts for
7 papers · 2 filters
Structure and structure-preserving algorithms for plasma physics
P. J. Morrison
Hamiltonian and action principle (HAP) formulations of plasma physics are reviewed for the purpose of explaining structure preserving numerical algorithms. Geometric structures ass…
Structure and computation of two-dimensional incompressible extended MHD
D. Grasso, E. Tassi, H. M. Abdelhamid +1
A comprehensive study of a reduced version of Lust's equations, the extended magnetohydrodynamic (XMHD) model obtained from the two-fluid theory for electrons and ions with the enf…
Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models
Yohei Kawazura, George Miloshevich, Philip J. Morrison
Two types of Eulerian action principles for relativistic extended magnetohydrodynamics (MHD) are formulated. With the first, the action is extremized under the constraints of densi…
On the structure and statistical theory of turbulence of extended magnetohydrodynamics
George Miloshevich, Manasvi Lingam, Philip J. Morrison
Recent progress regarding the noncanonical Hamiltonian formulation of extended magnetohydrodynamics (XMHD), a model with Hall drift and electron inertia, is summarized. The advanta…
Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
Jianyuan Xiao, Hong Qin, Philip J. Morrison +4
An explicit high-order noncanonical symplectic algorithm for ideal two-fluid systems is developed. The fluid is discretized as particles in the Lagrangian description, while the el…
Multiscale Equatorial Electrojet Turbulence: Energy Conservation, Coupling, and Cascades in a Baseline 2-D Fluid Model
Ehab Hassan, D. R. Hatch, P. J. Morrison +1
Progress in understanding the coupling between plasma instabilities in the equatorial electrojet based on a unified fluid model is reported. A deeper understanding of the linear an…
Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
Manasvi Lingam, George Miloshevich, Philip J. Morrison
The paper describes the unique geometric properties of ideal magnetohydrodynamics (MHD), and demonstrates how such features are inherited by extended MHD, viz. models that incorpor…