Constrained particle-mesh projections in a hybridized discontinuous Galerkin framework with applications to advection-dominated flows

1 code implementation • 26 Jun 2018 • Jakob M. Maljaars, Robert Jan Labeur, Nathaniel Trask, Deborah Sulsky

By combining concepts from particle-in-cell (PIC) and hybridized discontinuous Galerkin (HDG) methods, we present a particle-mesh scheme which allows for diffusion-free advection, satisfies mass and momentum conservation principles in a local sense, and allows the extension to high-order spatial accuracy.

Numerical Analysis