Open AccessNumerical experiments on unstructured PIC stability.
Author(s) -
David Day
Publication year - 2011
Language(s) - English
Resource type - Reports
DOI - 10.2172/1013241
Subject(s) - polygon mesh , verlet integration , stability (learning theory) , tensor product , finite element method , numerical stability , computer science , numerical analysis , physics , mathematics , geometry , mathematical analysis , pure mathematics , thermodynamics , quantum mechanics , machine learning , molecular dynamics
Particle-In-Cell (PIC) is a method for plasmas simulation. Particles are pushed with Verlet time integration. Fields are modeled using finite differences on a tensor product mesh (cells). The Unstructured PIC methods studied here use instead finite element discretizations on unstructured (simplicial) meshes. PIC is constrained by stability limits (upper bounds) on mesh and time step sizes. Numerical evidence (2D) and analysis will be presented showing that similar bounds constrain unstructured PIC