Donald E. Burton

15 papers Misc 1Journal 14
YearRankTypeTitle / Venue / Authors
2022 J jnl
A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids.
J. Comput. Appl. Math.
Xiaodong Liu, Nathaniel R. Morgan, Evan J. Lieberman, Donald E. Burton
2021 J jnl
A discontinuous Galerkin method based on a hierarchical orthogonal basis for Lagrangian hydrodynamics on curvilinear grids.
CoRR
Xiaodong Liu, Nathaniel R. Morgan, Evan J. Lieberman, Donald E. Burton
2019 J jnl
A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme.
J. Comput. Phys.
Xiaodong Liu, Nathaniel R. Morgan, Donald E. Burton
2019 J jnl
A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows.
Comput. Math. Appl.
Evan J. Lieberman, Nathaniel R. Morgan, Darby J. Luscher, Donald E. Burton
2018 J jnl
Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme.
J. Comput. Phys.
Donald E. Burton, Nathaniel R. Morgan, Marc R. Charest, Mark A. Kenamond, J. Fung
2018 J jnl
Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates.
J. Comput. Phys.
Xiaodong Liu, Nathaniel R. Morgan, Donald E. Burton
2018 J jnl
Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods.
J. Comput. Phys.
Nathaniel R. Morgan, Xiaodong Liu, Donald E. Burton
2015 J jnl
A Godunov-like point-centered essentially Lagrangian hydrodynamic approach.
J. Comput. Phys.
Nathaniel R. Morgan, Jacob I. Waltz, Donald E. Burton, Marc R. Charest, Thomas R. Canfield, John G. Wohlbier
2015 J jnl
A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes.
J. Comput. Phys.
Nathaniel R. Morgan, Jacob I. Waltz, Donald E. Burton, Marc R. Charest, Thomas R. Canfield, John G. Wohlbier
2015 J jnl
Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR).
J. Comput. Phys.
Donald E. Burton, Nathaniel R. Morgan, Theodore C. Carney, Mark A. Kenamond
2014 J jnl
A Lagrangian staggered grid Godunov-like approach for hydrodynamics.
J. Comput. Phys.
Nathaniel R. Morgan, Konstantin Lipnikov, Donald E. Burton, Mark A. Kenamond
2013 J jnl
A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries.
J. Comput. Phys.
Shiv Kumar Sambasivan, Mikhail J. Shashkov, Donald E. Burton
2013 J jnl
An approach for treating contact surfaces in Lagrangian cell-centered hydrodynamics.
J. Comput. Phys.
Nathaniel R. Morgan, Mark A. Kenamond, Donald E. Burton, Theodore C. Carney, Daniel Ingraham
2010 Misc conf
Compatible, energy and symmetry preserving 2D lagrangian hydrodynamics in rz - cylindrical coordinates.
ICCS
Andrew Barlow, Donald E. Burton, Mikhail J. Shashkov
2006 J jnl
The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics.
J. Comput. Phys.
Amy L. Bauer, Donald E. Burton, E. J. Caramana, Raphaël Loubère, Mikhail J. Shashkov, P. P. Whalen