7 papers
KINTORA: a semi-Lagrangian discontinuous Galerkin drift-kinetic, unstructured mesh tokamak solver
Mark F. Adams
Continuum gyrokinetic codes use structured, field-aligned grids on nested flux surfaces; particle-in-cell codes support unstructured meshes and open field lines but carry a statist…
Parallel Design of a GPU-Resident Semi-Lagrangian Drift-Kinetic Solver on Unstructured Extruded Tokamak Meshes
Mark F. Adams
Semi-Lagrangian (SL) schemes advect a distribution function along characteristics and remap it to a fixed grid. They are unconditionally stable without a global solve, and with dis…
Reducing Data Movement in the Galerkin Product of Block Algebraic Multigrid on GPUs
Mark F. Adams
The Galerkin triple product dominates the recurring per-solve setup cost of algebraic multigrid (AMG). For AMG on systems of PDEs the product is a rectangular-block…
Semi-Lagrangian Discontinuous Galerkin Method with Adaptive Mesh Refinement for the Vlasov--Poisson System in 1X+3V
Mark F. Adams
We extend the semi-Lagrangian discontinuous Galerkin (SLDG) method of Einkemmer to velocity grids with adaptive mesh refinement (AMR) and to three-dimensional velocity space. The o…
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…
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…
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…