1 citations · 1 across the 4 of their papers we have counts for
5 papers
A Deferred Correction, Continuous Galerkin Method for Curvilinear Staggered-Grid Lagrangian Hydrodynamics
Steven Walton, Svetlana Tokareva, Nathaniel Morgan
We present a continuous Galerkin, Deferred Correction (cG-DeC) method for the equations of Lagrangian hydrodynamics. The proposed scheme combines a high-order continuous finite ele…
A structure-preserving Lagrangian discontinuous Galerkin method using flux and slope limiting
Joshua Vedral, Nathaniel Morgan, Dmitri Kuzmin +1
We introduce a Lagrangian nodal discontinuous Galerkin (DG) cell-centered hydrodynamics method for solving multi-dimensional hyperbolic systems. By incorporating an adaptation of Z…
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…
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…
Multidimensional staggered grid residual distribution scheme for Lagrangian hydrodynamics
R. Abgrall, K. Lipnikov, N. Morgan +1
We present the second-order multidimensional Staggered Grid Hydrodynamics Residual Distribution (SGH RD) scheme for Lagrangian hydrodynamics. The SGH RD scheme is based on the stag…