9 citations · 15 across the 9 of their papers we have counts for
9 papers
On the ideal magnetohydrodynamic stability of the sheared-flow Z pinch
Daniel W. Crews, Jackson C. Turner
Sheared-flow Z-pinch stability has previously been studied within ideal MHD primarily through growth rate calculations, which find that even trans-Alfvénic sheared flows apparently…
Statistical structure of canonical kinetic equilibrium with sheared flow
Daniel W Crews
In isothermal kinetic equilibrium of a plasma with sheared flow, the electrostatic potential is the cumulant generating function of the velocity distribution, encoding all non-Maxw…
Z Pinch Kinetics II -- A Continuum Perspective: Betatron Heating and Self-Generation of Sheared Flows
D. W. Crews, E. T. Meier, U. Shumlak
Adiabatic compression of a self-magnetizing current filament (a Z pinch) is analyzed via the adiabatic invariants of its constituent cyclotron and betatron motions. Chew-Goldberger…
Effects of transitional orbit magnetization on transport and current in Z pinches
D. W. Crews, E. T. Meier, U. Shumlak
The azimuthal self-magnetic field of the ideal Z pinch contains a central magnetic null. Trajectories around this null govern transport in the core. Particles follow cyclotron orbi…
The Kadomtsev pinch revisited for sheared-flow-stabilized Z-pinch modeling
Daniel W. Crews, Iman A. M. Datta, Eric T. Meier +1
The Kadomtsev pinch, namely the Z-pinch profile marginally stable to interchange modes, is revisited in light of observations from axisymmetric MHD modeling of the FuZE sheared-flo…
Phase space eigenfunctions with applications to continuum kinetic simulations
D. W. Crews, U. Shumlak
Continuum kinetic simulations are increasingly capable of resolving high-dimensional phase space with advances in computing. These capabilities can be more fully explored by using…
Arbitrarily high order implicit ODE integration by correcting a neural network approximation with Newton's method
D. W. Crews
As a method of universal approximation deep neural networks (DNNs) are capable of finding approximate solutions to problems posed with little more constraints than a suitably-posed…
Analysis of tensor-product discontinous Galerkin operators for Vlasov-Poisson simulations and GPU implementation on Python
D. W. Crews
The discontinuous Galerkin (DG) finite element method is conservative, lends itself well to parallelization, and is high-order accurate due to its close affinity with the theory of…
On the validity of quasilinear theory applied to the electron bump-on-tail instability
D. W. Crews, U. Shumlak
The accuracy of quasilinear theory applied to the electron bump-on-tail instability, a classic model problem, is explored with conservative high-order discontinuous Galerkin method…