45 citations · 209 across the 14 of their papers we have counts for
15 papers
A High-Order Low-Order extended moment method for the Vlasov-Darwin particle-in-cell system
Derek A. Kuldinow, William T. Taitano, Kentaro Hara
In this study, we develop an extended implicit moment method, namely, a coupled high-order low-order (HOLO) method and apply it to the electromagnetic Vlasov-Darwin model. The high…
A Multiscale Eulerian Vlasov-Rosenbluth-Fokker-Planck Algorithm for Thermonuclear Burning Plasmas
Benjamin L. Reichelt, William T. Taitano, Brett D. Keenan +4
Accurate treatment of energetic fusion byproducts in laboratory plasmas often requires a kinetic description, owing to their large birth kinetic energy and long mean-free-paths com…
A conditional formulation of the Vlasov-Ampere Equations: A conservative, positivity, asymptotic, and Gauss law preserving scheme
William T Taitano, Joshua W Burby, Alex Alekseenko
We propose a novel reformulation of the Vlasov-Amp{è}re equations for plasmas. This reformulation exposes discrete symmetries to achieve simultaneous conservation of mass, momentum…
Sylvester-Preconditioned Adaptive-Rank Implicit Time Integrators for Advection-Diffusion Equations with Variable Coefficients
Hamad El Kahza, Jing-Mei Qiu, Luis Chacon +1
We consider the adaptive-rank integration of {2D and 3D} time-dependent advection-diffusion partial differential equations (PDEs) with variable coefficients. We employ a standard f…
Primary Neutron Spectra in Ion Vlasov-Fokker-Planck Simulations
B. D. Appelbe, W. T. Taitano, A. J. Crilly +3
The energy spectra of unscattered neutrons produced by deuterium-deuterium and deuterium-tritium fusion reactions are an important diagnostic in High Energy Density Physics experim…
Fully kinetic simulations of strong steady-state collisional planar plasma shocks
Steven E. Anderson, Luis Chacón, William T. Taitano +2
We report on the first steady-state simulations of strong plasma shocks with fully kinetic ions and electrons, independently confirmed by two fully kinetic codes (an Eulerian conti…
An asymptotic-preserving 2D-2P relativistic Drift-Kinetic-Equation solver for runaway electron simulations in axisymmetric tokamaks
Luis Chacon, Don Daniel, William T. Taitano
We propose an asymptotic-preserving (AP), uniformly convergent numerical scheme for the relativistic collisional Drift-Kinetic Equation (rDKE) to simulate runaway electrons in axis…
An Eulerian Vlasov-Fokker-Planck Algorithm for Spherical Implosion Simulations of Inertial Confinement Fusion Capsules
William T. Taitano, Brett D. Keenan, Luis Chacon +3
We present a numerical algorithm that enables a phase-space adaptive Eulerian Vlasov-Fokker-Planck (VFP) simulation of an inertial confinement fusion (ICF) capsule implosion. The a…
An efficient, conservative, time-implicit solver for the fully kinetic arbitrary-species 1D-2V Vlasov-Ampère system
Steven E. Anderson, William T. Taitano, Luis Chacón +1
We consider the solution of the fully kinetic (including electrons) Vlasov-Ampère system in a one-dimensional physical space and two-dimensional velocity space (1D-2V) for an arbit…
A conservative phase-space moving-grid strategy for a 1D-2V Vlasov-Fokker-Planck Equation
William Tsubasa Taitano, Luis Chacon, Andrei Simakov +1
We develop a conservative phase-space grid-adaptivity strategy for the Vlasov-Fokker-Planck equation in a planar geometry. The velocity-space grid is normalized to the thermal spee…
A fully implicit, scalable, conservative nonlinear relativistic Fokker-Planck 0D-2P solver for runaway electron
Don Daniel, William T. Taitano, Luis Chacón
Upon application of a sufficiently strong electric field, electrons break away from thermal equilibrium and approach relativistic speeds. These highly energetic runaway electrons (…
Ion Species Stratification Within Strong Shocks in Two-Ion Plasmas
Brett D. Keenan, Andrei N. Simakov, William T. Taitano +1
Strong collisional shocks in multi-ion plasmas are featured in many environments, with Inertial Confinement Fusion (ICF) experiments being one prominent example. Recent work [Keena…
An Adaptive, Implicit, Conservative 1D-2V Multi-Species Vlasov-Fokker-Planck Multiscale Solve in Planar Geometry
William T. Taitano, Luis Chacon, Andrei N. Simakov
We consider a 1D-2V Vlasov-Fokker-Planck multi-species ionic description coupled to fluid electrons. We address temporal stiffness with implicit time stepping, suitably preconditio…
Deciphering the Kinetic Structure of Multi-Ion Plasma Shocks
Brett D. Keenan, Andrei N. Simakov, Luis Chacon +1
Strong collisional shocks in multi-ion plasmas are featured in many high-energy-density environments, including Inertial Confinement Fusion (ICF) implosions. However, their basic s…
Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations
Guangye Chen, Luis Chacon, Christopher A Leibs +2
A recent proof-of-principle study proposes an energy- and charge-conserving, nonlinearly implicit electrostatic particle-in-cell (PIC) algorithm in one dimension [Chen et al, J. Co…