Research Groups

Computational Method Development

Quad Chart for Research Group

Group Members:

Associated Research Websites:

Recent Publications:

  1. G. Thoreson, R.G. McClarren, and J.H. Chang, "High Resolution Time Integration for Sn Radiation Transport," Annals of Nuclear Energy (to be published).
  2. M. Rosa, Y. Azmy, and J. E. Morel, "Properties of the Sn-Equivalent Integral Transport Operator in Slab Geometry and the Iterative Acceleration of Neutral Particle Transport Methods," Nuclear Science and Engineering (to be published).
  3. Y. Wang and J.C. Ragusa, "Application of hp Adaptivity to the Multigroup Diffusion Equations," Nuclear Science and Engineering 161(1), 22-48 (2009).
  4. J.C. Ragusa, and V. Mahadevan, "Consistent and accurate schemes for coupled neutronics thermal-hydraulics reactor analysis," Nuclear Engineering and Design In Press. Available online 6 January 2009.
  5. R.G. McClarren and R.B. Lowrie, "The Effects of Slope Limiting on Asymptotic-Preserving Numerical Methods for Hyperbolic Conservation Laws," Journal of Computational Physics 227(23), 9711-9726 (2008).
  6. Y. Wang, W. Bangerth, and J.C. Ragusa, "Three-dimensional h-adaptivity for the multigroup neutron diffusion equations," Progress in Nuclear Energy In Press. Available online 24 December 2008.
  7. R.G. McClarren, "A Robust, High-order Implicit Monte Carlo Method for Thermal Radiative Transfer," Transactions of the American Nuclear Society, 98, 501, 2008.
  8. J. Morel, J. Densmore, J. Warsa, and R. Lowrie, "Linearized Stability Analysis of Two Time Discretizations for the Compton Scattering Fokker-Planck Equation," Transactions of the American Nuclear Society, Proceedings of the American Nuclear Society Winter Meeting, Reno, NV, 9-13 November 2008.
  9. J.D. Densmore, J.S. Warsa, R.B. Lowrie, and J.E. Morel, "Linearized Stability Analysis of Two Time Discretizations for the Compton-Scattering Fokker-Planck Equation," Transactions of the American Nuclear Society, Proceedings of the American Nuclear Society Winter Meeting, 99, 328-331 (2008).
  10. T. Rogers, and J.C. Ragusa, "PWR Fuel Assembly Optimization Using Simulated Annealing with TRANSLAT," Proceedings of the ANS Winter Meeting, Reno, NV, USA, November 9-13, 2008.
  11. Y. Wang, and J.C. Ragusa, "Progress in the Integration of 2D DG-FEM SN Transport Solver Xuthus into SCALE," Proceedings of the ANS Winter Meeting, Reno, NV, USA, November 9-13, 2008.
  12. Y. Wang, and J.C. Ragusa, "An Algorithm for Multi-Mesh and Multi-Irregularity from Adaptive Mesh Refinement with FEM," Proceedings of the ANS Winter Meeting, Reno, NV, USA, November 9-13, 2008.
  13. J.C. Ragusa, "A simple Hessian-based 3D mesh adaptation technique with applications to the multigroup diffusion equations," Annals of Nuclear Energy 35(11), 2006-2018 (2008).
  14. R.G. McClarren and R.B. Lowrie, "Manufactured Solutions for the P1 Radiation-Hydrodynamics Equations," Journal of Quantitative Spectroscopy and Radiative Transfer 109(15), 2590-2602 (2008).
  15. G. Thoreson, R.G. McClarren, and J.H. Chang, "High Resolution Time Integration for Sn Radiation Transport," Proceedings of the International Conference on the Physics of Reactors, PHYSOR 2008, Interlaken, Switzerland, September 14-19, 2008.
  16. Y. Wang, J. C. Ragusa, and M. DeHart, "An Unstructured Triangular Mesh Linear Discontinuous Solver for NEWT," Proceedings of the ANS International Conference on the Physics of Reactors: Nuclear Power: A Sustainable Resource (PHYSOR 2008 ), Interlaken, Switzerland, September 14-19, 2008.
  17. V. Mahadevan and J.C. Ragusa, "Hybrid schemes to compute several dominant eigenmodes in reactor analysis," Proceedings of the ANS International Conference on the Physics of Reactors: Nuclear Power: A Sustainable Resource (PHYSOR 2008 ), Interlaken, Switzerland, September 14-19, 2008.
  18. R.G. McClarren, T.M. Evans, R.B. Lowrie, and J.D. Densmore, "Semi-Implicit Time Integration for PN Thermal Radiative Transfer," Journal of Computational Physics 227(16), 7561-7586 (2008).
  19. R. Sanchez, J.C. Ragusa, and E. Masiello, "Asymptotic theory of the linear transport equation in anisotropic media," Journal of Mathematical Physics 49, 083504 (2008).
  20. R.G. McClarren and J.P. Holloway, "Quasi-Linear Time Integration for the Pn Equations," Nuclear Science and Engineering 159(3), 330-337 (2008).
  21. T.S. Bailey, M. L. Adams, B. Yang, and M. R. Zika, "A piecewise linear finite element discretization of the diffusion equation for arbitrary polyhedral grids," Journal of Computational Physics 8(1), 3738-3757 (2008).
  22. R.G. McClarren, J.P. Holloway, and T.A. Brunner, "Analytic P1 Solutions for Time-Dependent, Thermal Radiative Transfer in Several Geometries," Journal of Quantitative Spectroscopy and Radiative Transfer 109(3), 389-403 (2008).
  23. R.G. McClarren, J.P. Holloway, and T.A. Brunner, "On Solutions to the Pn Equations for Thermal Radiative Transfer," Journal of Computational Physics 227(3), 2864-2885 (2008)
  24. R. Lowrie, T. Masser, R. McClarren, T. Urbatsch, C. Wingate, J. Wohlbier, and M. Clover, "Plans for and Progress Towards an Inertial Confinement Fusion Code from the Crestone Project," 49th Annual Meeting of the Division of Plasma Physics, Orlando, FL, November 2007.
  25. R.G. McClarren, T.M. Evans, and R.B. Lowrie, "Semi-Implicit Time Integration for the Pn Equations," Transactions of the American Nuclear Society, 97, 2007.
  26. J.C. Ragusa, R. Sanchez, and S. Santandrea, "Application of Duality Principles to Reflector Homogenization," Nuclear Science and Engineering 157(3), 299-315 (2007).
  27. J. Morel, T.-Y. Brian Yang, and James S. Warsa, "Linear Multifrequency-Grey Acceleration Recast for Preconditioned Krylov Iterations," Journal of Computational Physics 227(1), 244-263 (2007).
  28. D. A. Knoll, R. B. Lowrie, and J. E. Morel, "Numerical Analysis of Time Integration Errors for Nonequilibrium Radiation Diffusion," Journal of Computational Physics 226(2), 1332-1347 (2007).
  29. J. E. Morel and J. S. Warsa, "Spatial Finite-Element Lumping Techniques for the Quadrilateral Mesh Sn Equations in X − Y Geometry," Nuclear Science and Engineering 156(3), 325-342 (2007).
  30. J. E. Morel, A. Prinja, J. McGhee, T. Wareing, and B. C. Franke, "A Discretization Scheme for the 3-D Angular Fokker-Planck Operator," Nuclear Science and Engineering 156(2), 154-163 (2007).
  31. R.G. McClarren and J.P. Holloway, "High Resolution Time Integration for the Spherical Harmonics Equations," Proceedings of the 2007 Joint International Topical Meeting on Mathematics & Computation and Supercomputing in Nuclear Applications, Monterrey, CA, 15-19 April 2007.
  32. A. Siegel, T. Tautges, A. Caceres, D. Kaushik, P. Fischer, G. Palmiotti, M. Smith, and J. Ragusa, "Software Design of SHARP," Joint International Topical meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, Monterrey, CA, 15-19 April 2007.
  33. Y. Wang and J.C. Ragusa, "Goal-Oriented hp-Mesh Adaptation for the 1-D Multigroup Diffusion Equations," Joint International Topical meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, Monterrey, CA, 15-19 April 2007.
  34. Y. Wang and J.C. Ragusa, "Multi-Dimensional Automatic Mesh Refinement for the Multigroup SPN Equations," Joint International Topical meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, Monterrey, CA, 15-19 April 2007.
  35. V. Mahadevan and J. C. Ragusa, "Application of High-Order Implicit Schemes for Nonlinear Multi-Physics Simulations," Joint International Topical meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, Monterrey, CA, 15-19 April 2007.
  36. J. D. Densmore, J. S. Warsa, and J. E. Morel, "A Fokker-Planck Method for Modelling Compton Scattering in Implicit Monte Carlo Simulations," Joint International Topical meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, Monterrey, CA, 15-19 April 2007.
  37. J. S. Warsa and J. E. Morel, "Solution Algorithms for a Pn−1-Equivalent Sn Angular Discretization of the Transport Equation in One-Dimensional Spherical Coordinates," Joint International Topical meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, Monterrey, CA, 15-19 April 2007.
  38. F. N. Gleicher, J. S. Warsa, J. E. Morel, and A. K. Prinja, "Subcell Sn Sweeping for Meshes with Reentrant Cells," Joint International Topical meeting on Mathematics and Computation and Supercomputing in Nuclear Applications, Monterrey, CA, 15-19 April 2007.
  39. R.G. McClarren, J.P. Holloway, T.A. Brunner, and T.A. Mehlhorn, "A Quasi-Linear Implicit Riemann Solver for the Time-Dependent Pn Equations," Nuclear Science and Engineering 155(2), 290-299 (2007).
  40. J. E. Morel, J. S. Warsa, and A. Gonzalez-Aller, "A Lumped Linear-Discontinuous Spatial Discretization Scheme for Sn Calculations in R − Z Geometry," Nuclear Science and Engineering 155(2), 168-178 (2007).