7 citations · 14 across the 6 of their papers we have counts for
6 papers
Structure preservation using discrete gradients in the Vlasov-Poisson-Landau system
Daniel S. Finn, Joseph V. Pusztay, Matthew G. Knepley +1
We present a novel structure-preserving framework for solving the Vlasov-Poisson-Landau system of equations using a particle in cell (PIC) discretization combined with discrete gra…
A projection method for particle resampling
Mark F. Adams, Daniel S. Finn, Matthew G. Knepley +1
Particle discretizations of partial differential equations are advantageous for high-dimensional kinetic models in phase space due to their better scalability than continuum approa…
The Landau Collision Integral in the Particle Basis in the PETSc Library
Joseph Pusztay, Filippo Zonta, Matt Knepley +1
The Landau collision integral is often considered the gold standard in the context of kinetic plasma simulation due to its conservative properties, despite challenges involved in i…
A Numerical Study of Landau Damping with PETSc-PIC
Daniel S. Finn, Matthew G. Knepley, Joseph V. Pusztay +1
We present a study of the standard plasma physics test, Landau damping, using the Particle-In-Cell (PIC) algorithm. The Landau damping phenomenon consists of the damping of small o…
Multispecies structure-preserving particle discretization of the Landau collision operator
Filippo Zonta, Joseph V. Pusztay, Eero Hirvijoki
This paper proposes a novel numerical integrator for modeling multispecies Coulomb collisions in kinetic plasmas. The proposed scheme provides an energy-, momentum-, and positivity…
Conservative Projection Between Finite Element and Particle Bases
Joseph V. Pusztay, Matthew G. Knepley, Mark F. Adams
Particle-in-Cell (PIC) methods employ particle representations of unknown fields, but also employ continuum fields for other parts of the problem. Thus projection between particle…