2 papers
physics.comp-ph2021
A discontinuous Galerkin method based on a hierarchical orthogonal basis for Lagrangian hydrodynamics on curvilinear grids
Xiaodong Liu, Nathaniel R. Morgan, Evan J. Lieberman +1
We present a new high-order accurate Lagrangian discontinuous Galerkin (DG) hydrodynamic method to simulate material dynamics (for e.g., gasses, fluids, and solids) with up to four…
physics.comp-ph2019
Symmetry-preserving WENO limiters
Xiaodong Liu, Nathaniel R. Morgan, Donald E. Burton
Weighted essentially non-oscillatory (WENO) reconstruction schemes are presented that preserve cylindrical symmetry for radial flows on an equal-angle polar mesh. These new WENO sc…