Recent Publications

D. A. Knoll, R. B. Lowrie, and J. E. Morel.

Numerical analysis of time integration errors for nonequilibrium radiation diffusion.
Technical Report LA-UR-06-3599, Los Alamos National Laboratory, 2006.
Submitted to Journal of Computational Physics.

R. B. Lowrie and R. M. Rauenzahn.

Shock Wave Solutions for Equilibrium-Diffusion Radiation Hydrodynamics.
Technical Report LA-UR-06-3853, Los Alamos National Laboratory, 2006.

R.B. Lowrie.

A comparison of implicit time integration methods for nonlinear relaxation and diffusion.
Journal of Computational Physics, 196:566-590, 2004.

R.B. Lowrie and J.E. Morel.

Methods for Hyperbolic Systems with Stiff Relaxation.
International Journal for Numerical Methods in Fluids, 40:413-423, 2002.

W. J. Rider and R. B. Lowrie.

The Use of Classical Lax-Friedrichs Riemann Solvers with Discontinuous Galerkin Methods.
International Journal for Numerical Methods in Fluids, 40:479-486, 2002.

J.E. Morel, T.A. Wareing, R.B. Lowrie, and D.K. Parsons.

Analysis of ray-effect mitigation techniques.
Nuclear Science and Engineering, 144:1-22, 2003.

R.B. Lowrie, D. Mihalas, and J.E. Morel.

Comoving-frame radiation transport for nonrelativistic fluid velocities.
Journal of Quantitative Spectroscopy & Radiative Transfer, 69(3):291-304, 2001.

R.B. Lowrie and J.E. Morel.

Issues with high-resolution Godunov methods for radiation hydrodynamics.
Journal of Quantitative Spectroscopy & Radiative Transfer, 69(4):475-489, 2001.

R.B. Lowrie and J.E. Morel.

Methods for hyperbolic systems with stiff relaxation.
In M.J. Baines, editor, Numerical Methods for Fluid Dynamics VII. ICFD, Oxford University Computing Laboratory, 2001.

J.W. Bates, D.A. Knoll, W.J. Rider, R.B. Lowrie, and V.A. Mousseau.

On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime.
Journal of Computational Physics, 167(1):99-130, 2001.

L.H. Auer and R.B. Lowrie.

Dispersion analysis of radiation/thermal fronts with fully resolved spectral opacity variation.
In Nuclear Explosives Code Developers Conference, 2000.

R. B. Lowrie and J. E. Morel.

Discontinuous Galerkin for hyperbolic systems with stiff relaxation.
In Discontinuous Galerkin Methods: Theory, Computation and Applications, volume 11 of Lecture Notes in Computational Science and Engineering. Springer Verlag, 2000.

R.B. Lowrie, J.E. Morel, and J.A. Hittinger.

Coupling radiation and hydrodynamics.
Astrophysical Journal, 521(1):432-450, 1999.

R. B. Lowrie and J. E. Morel.

Discontinuous Galerkin for stiff hyperbolic systems.
In Proceedings of the 14th AIAA Computational Fluid Dynamics Conference, 1999.
Paper 99-3307.

R.B. Lowrie and J.E. Morel.

Coupling issues for radiation hydrodynamics.
In Nuclear Explosives Code Developers Conference, 1998.

R. B. Lowrie, P. L. Roe, and B. van Leer.

Properties of Space-Time Discontinuous Galerkin.
Technical Report LA-UR-98-5561, Los Alamos National Laboratory, 1998.

R. B. Lowrie, P. L. Roe, and B. van Leer.

Space-time methods for hyperbolic conservation laws.
In Barriers and Challenges in Computational Fluid Dynamics, volume 6 of ICASE/LaRC Interdisciplinary Series in Science and Engineering, pages 79-98. Kluwer, 1998.

R. B. Lowrie.

Compact Higher-Order Numerical Methods for Hyperbolic Conservation Laws.
PhD thesis, University of Michigan, 1996.

R. B. Lowrie, P. L. Roe, and B. van Leer.

A space-time discontinuous Galerkin method for the time-accurate numerical solution of hyperbolic conservation laws.
In Proceedings of the 12th AIAA Computational Fluid Dynamics Conference, 1995.
Paper 95-1658.

R. B. Lowrie and P. L. Roe.

On the numerical solution of conservation laws by minimizing residuals.
Journal of Computational Physics, 113(2):304-308, 1994.