189 citations · 1.6k across the 88 of their papers we have counts for
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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…
Beatification: Flattening the Poisson Bracket for Two-Dimensional Fluid and Plasma Theories
Thiago F. Viscondi, Iberê L. Caldas, Philip J. Morrison
A perturbative method called beatification is presented for a class of two-dimensional fluid and plasma theories. The Hamiltonian systems considered, namely the Euler, Vlasov-Poiss…
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…
Rattleback: a model of how geometric singularity induces dynamic chirality
Zensho Yoshida, Tadashi Tokieda, Philip J. Morrison
The rattleback is a boat-shaped top with an asymmetric preference in spin. Its dynamics can be described by nonlinearly coupled pitching, rolling, and spinning modes. The chirality…
GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods
Michael Kraus, Katharina Kormann, Philip J. Morrison +1
We present a novel framework for Finite Element Particle-in-Cell methods based on the discretization of the underlying Hamiltonian structure of the Vlasov-Maxwell system. We derive…
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…
Epi-two-dimensional flow and generalized enstrophy
Zensho Yoshida, Philip J. Morrison
The conservation of the enstrophy ( norm of the vorticity ) plays an essential role in the physics and mathematics of two-dimensional (2D) Euler fluids. Generalizing to com…
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…
Stability Boundaries and Sufficient Stability Conditions for Stably Stratified, Monotonic Shear Flows
Makoto Hirota, Philip J. Morrison
Linear stability of inviscid, parallel, and stably stratified shear flow is studied under the assumption of smooth strictly monotonic profiles of shear flow and density, so that th…
Internal wave pressure, velocity, and energy flux from density perturbations
Michael R. Allshouse, Frank M. Lee, Philip J. Morrison +1
Determination of energy transport is crucial for understanding the energy budget and fluid circulation in density varying fluids such as the ocean and the atmosphere. However, it i…