| The construction of compatible hydrodynamics algorithms utilizing conservation of total energy EJ Caramana, DE Burton, MJ Shashkov, PP Whalen Journal of Computational Physics 146 (1), 227-262, 1998 | 550 | 1998 |
| A cell-centered Lagrangian Godunov-like method for solid dynamics DE Burton, TC Carney, NR Morgan, SK Sambasivan, MJ Shashkov Computers & Fluids 83, 33-47, 2013 | 134 | 2013 |
| Multidimensional discretization of conservation laws for unstructured polyhedral grids DE Burton Lawrence Livermore National Lab.(LLNL), Livermore, CA (United States), 1994 | 133 | 1994 |
| A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry EJ Caramana, CL Rousculp, DE Burton Journal of Computational Physics 157 (1), 89-119, 2000 | 87 | 2000 |
| Consistent finite-volume discretization of hydrodynamic conservation laws for unstructured grids DE Burton Lawrence Livermore National Lab.(LLNL), Livermore, CA (United States), 1994 | 78 | 1994 |
| A Lagrangian staggered grid Godunov-like approach for hydrodynamics NR Morgan, KN Lipnikov, DE Burton, MA Kenamond Journal of Computational Physics 259, 568-597, 2014 | 73 | 2014 |
| Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR) DE Burton, NR Morgan, TC Carney, MA Kenamond Journal of Computational Physics 299, 229-280, 2015 | 63 | 2015 |
| A finite volume cell‐centered Lagrangian hydrodynamics approach for solids in general unstructured grids SK Sambasivan, MJ Shashkov, DE Burton International Journal for Numerical Methods in Fluids 72 (7), 770-810, 2013 | 60 | 2013 |
| Exact conservation of energy and momentum in staggered-grid hydrodynamics with arbitrary connectivity DE Burton Advances in the Free-Lagrange Method Including Contributions on Adaptive …, 2005 | 58 | 2005 |
| The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics AL Bauer, DE Burton, EJ Caramana, R Loubčre, MJ Shashkov, ... Journal of Computational Physics 218 (2), 572-593, 2006 | 56 | 2006 |
| Connectivity structures and differencing techniques for staggered-grid free-Lagrange hydrodynamics DE Burton Seventh IMACS international conference on computer methods for partial …, 1992 | 53 | 1992 |
| An approach for treating contact surfaces in Lagrangian cell-centered hydrodynamics NR Morgan, MA Kenamond, DE Burton, TC Carney, DJ Ingraham Journal of Computational Physics 250, 527-554, 2013 | 50 | 2013 |
| A Lagrangian discontinuous Galerkin hydrodynamic method X Liu, NR Morgan, DE Burton Computers & Fluids 163, 68-85, 2018 | 49 | 2018 |
| Exploration of new limiter schemes for stress tensors in Lagrangian and ALE hydrocodes SK Sambasivan, MJ Shashkov, DE Burton Computers & Fluids 83, 98-114, 2013 | 42 | 2013 |
| Lagrangian hydrodynamics in the FLAG code DE Burton Symposium on Advanced Numerical Methods for Lagrangian Hydrodynamics, 2007 | 41 | 2007 |
| A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme X Liu, NR Morgan, DE Burton Journal of Computational Physics 386, 110-157, 2019 | 37 | 2019 |
| Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme DE Burton, NR Morgan, MRJ Charest, MA Kenamond, J Fung Journal of Computational Physics 355, 492-533, 2018 | 36 | 2018 |
| A Godunov-like point-centered essentially Lagrangian hydrodynamic approach NR Morgan, JI Waltz, DE Burton, MR Charest, TR Canfield, JG Wohlbier Journal of Computational Physics 281, 614-652, 2015 | 34 | 2015 |
| Conservation of energy, momentum, and angular momentum in Lagrangian staggered-grid hydrodynamics DE Burton Lawrence Livermore National Laboratory, Livermore, CA, Report No. UCRL-JC-105926, 1990 | 32 | 1990 |
| A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes NR Morgan, JI Waltz, DE Burton, MR Charest, TR Canfield, JG Wohlbier Journal of Computational Physics 290, 239-273, 2015 | 31 | 2015 |
Nathaniel MorganLos Alamos National LaboratoryVerified email at lanl.gov
