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physics.plasm-ph2026
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…
physics.plasm-ph2025
Fast solvers for Tokamak fluid models with PETSC
Mark F. Adams, Jin Chen, Benjamin Sturdevant
Multigrid (MG) is widely recognized as a highly effective solver for the model problem, the Laplacian, but textbook MG fails on most problems of interest. MG methods have been appl…
physics.plasm-ph2025
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…