Mark A. Christon
Full Publication List (PDF)
Selected Publications
2007
M. A. Christon, “Subgrid scale mixture models for hybrid miscible/immiscible multifluid/multimaterial simulations,” in preparation for International Journal for Numerical Methods in Fluids, 2007.
D. G. Tipton, M. A. Christon and M. S. Ingber, “Coupled fluid-solid interaction under shock wave loading: Part-I static interfaces,” submitted to International Journal for Numerical Methods in Fluids, October, 2007.
D. G. Tipton, M. A. Christon and M. S. Ingber, “Coupled fluid-solid interaction under shock wave loading: Part-II dynamic interfaces,” submitted to International Journal for Numerical Methods in Fluids, October, 2007.
H. T. Ahn, M. Shashkov and M. A. Christon, “The moment-of-fluid method in action,” in Third Asian-Pacific Congress on Computational Mechanics, Tech. Report, LA-UR-07-6854, Kyoto, Japan, December, 2007. (PDF)
M. A. Christon, G. A. Dilts, M. M. Francois, A. J. Lupinetti, M. L. Hall, N. T. Padial-Collins, M. K. Rivera, M. J. Shashkov, J. T. Turner, M. P. Wilkerson, and D. Z. Zhang, “Actinide separation science: Fluid physics, interface dynamics, and reaction chemistry,” Tech. Report, LA-UR-07-4601, July, 2007 (PDF)
G. Scovazzi, M. A. Christon, T. J. R. Hughes, and J. N. Shadid, “Stabilized shock hydrodynamics: I. a Lagrangian method,” Computer Methods in Applied Mechanics and Engineering, Vol. 196, pp. 923 – 966, 2007. (Sandia Report SAND2005-7563J, U. of Texas ICES Report 05-48).
2006
A year off for elder-care and more... C'est la vie!.
2005
M. A. Christon and R. S. Patil, “A finite element projection method for low-Mach number reacting flows,” in Third MIT Conference on Computational Fluid and Solid Mechanics (K. J. Bathe, ed.), (New York), pp 617 – 622, Elsevier, June, 2005.
2004
M. A. Christon, M. J. Martinez, and T. E. Voth, “Generalized Fourier analysis of the advection-diffusion equation – part I: One-dimensional domains,” International Journal for Numerical Methods in Fluids, vol. 45, pp. 839 – 887, 2004.
T. E. Voth, M. J. Martinez, and M. A. Christon, “Generalized Fourier analysis of the advection-diffusion equation – part II: Two-dimensional domains,” International Journal for Numerical Methods in Fluids, vol. 45, pp. 889 – 920, 2004.
P. Bochev, M. Christon, S. S. Collis, R. Lehoucq, J. Shadid, A. Slepoy, and G. Wagner, “A mathematical framework for multiscale science and engineering: the variational multiscale method and interscale transfer operators,” Sandia National Laboratories, SAND2004-2871, May, 2004. (PDF)
2003
M. A. Christon and T. E. Voth, “LESTATS User's Manual”, Sandia National Laboratories, SAND2003-3907, October, 2003. (PDF)
M. A. Christon, D. I. Ketcheson, and A. C. Robinson, “An Assessment of Semi-Discrete Central Schemes for Hyperbolic Conservation Laws,” Sandia National Laboratories, SAND2003-3238, September, 2003. (PDF)
M. A. Christon, “GILA User's Manual”, Sandia National Laboratories, SAND2003-1781, June, 2003. (PDF)
2002
M. A. Christon, P. M. Gresho, and S. B. Sutton, “Computational predictability of natural convection fows in enclosures,” International Journal for Numerical Methods in Fluids, vol. 40, pp. 953 – 980, 2002.
M. A. Christon, “LS-DYNA and the 8:1 differentially-heated cavity," International Journal for Numerical Methods in Fluids, vol. 40, pp. 1133 – 1144, 2002.
M. A. Christon, “Dealing with pressure - solution strategies for the time-dependent Navier-Stokes equations," International Journal for Numerical Methods in Fluids, vol. 38, pp. 1177 – 1198, 2002.
M. A. Christon, T. E. Voth and M. J. Martinez, “Generalized Fourier Analyses of Semi-Discretizations of the Advection-Diffusion Equation”, Sandia National Laboratories, SAND2002-3866, November, 2002.
K. H. Brown, S. P. Burns and M. A. Christon, “Coupled Eulerian-Lagrangian methods for earth penetrating weapon applications, Sandia National Laboratories, SAND2002-1014, May, 2002.
R. C. Schmidt, T. M. Smith, P. DesJardin, T. E. Voth, M. A. Christon, A. R. Kerstein, and S. Wunsch, “On the development of the large-eddy simulation approach for modeling turbulent flow: LDRD Final Report,” Sandia National Laboratories, SAND2002-0807, March, 2002.
2001
T. E. Voth and M. A. Christon, “Discretization Errors Associated with Reproducing Kernel Methods: One-Dimensional Domains”, Computer Methods in Applied Mechanics and Engineering, vol. 190, pp. 2429 – 2446, 2001.
M. A. Christon, “LS-DYNA and the 8:1 differentially-heated cavity,” in First MIT Conference on Computational Fluid and Solid Mechanics (K. J. Bathe, ed.), (New York), pp. 1460 – 1464, Elsevier, June, 2001.
M. A. Christon, P. M. Gresho, and S. B. Sutton, “Computational predictability of natural convection flows in enclosures,” First MIT Conference on Computational Fluid and Solid Mechanics (K. J. Bathe, ed.), (New York), pp. 1465 – 1468, Elsevier, June, 2001.
2000
M. A. Christon, D. W. Roach, “The Numerical Performance of of Wavelets for PDEs: The Multi-Scale Finite Element”, Computational Mechanics (Special Issue on Meshless Methods), vol. 25, pp. 230 – 244, 2000.
F. Gunther, W. K. Liu, D. Diachin, and M. A. Christon, “Multi-scale meshfree parallel computation for viscous, compressible fows," Computer Methods in Applied Mechanics and Engineering, vol. 190, pp. 279 –303, 2000.
M. A. Christon and T. E. Voth, “Results of von Neumann analyses for reproducing kernel semi-discretizations,” International Journal for Numerical Methods in Engineering, vol. 47, pp. 1285 – 1301, 2000.
M. A. Christon and G. O. Cook, Jr., LS-DYNA’s Incompressible Flow Solver – User’s Manual, Livermore Software Technology Corporation, Livermore, California, October, 2000.
M. A. Christon, “The new incompressible flow capabilities in LS-DYNA,” in 6th International LS-DYNA Users Conference 2000, (Dearborn, Michigan), ETA, April, 2000.
1999
M. A. Christon, “The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation,” Computer Methods in Applied Mechanics and Engineering, Vol. 173, pp. 147 – 166, 1999.
S. P. Burns, K. G. Budge, and M. A. Christon, “Parallel Iterative and Direct Methods for Transport Calculations on Unstructured Grids”, Chapter 1, Ninth SIAM Conference on Parallel Processing for Scientific Computing, San Antonio, Texas, March 22-24, 1999. (PDF)
M. A. Christon, et al., “An Investigation of Wavelet Bases for Grid-Based Multi-Scale, Simulation - Final Report”, Sandia National Laboratories, SAND98-2456, 1998. (PDF)
1998
J. Sturtevant, M. Christon, P. D. Heermann and P.-C. Chen, “PDS/PIO: Lightweight Libraries for Collective Parallel I/O”. Presented at Supercomputing '98, Orlando, Florida, November, 1998. (HTML)
M. A. Christon and D. E. Carrol, An Unstructured-Grid, “Parallel, Projection Solver for Computing Low-Speed Flows”, in International Conference on Computational Engineering Science, Atlanta, Georgia, October 1998. (PDF)
M. A. Christon, D. W. Roach, and T. E. Voth, “The numerical performance of wavelets and reproducing kernels for PDE's”. International Conference on Computational Engineering Science, Atlanta, Georgia, October 1998. (PDF)
M. A. Christon, R. S. Baty, S. P. Burns, D. W. Roach, T. G. Trucano, T. E. Voth, J. R. Weatherby, and D. Womble, “An investigation of wavelet bases for grid-based multi-scale simulation – Final Report,” Sandia National Laboratoraties, SAND98-2456, September, 1998.
T. E. Voth and M. A. Christon, “Results of von Neumann analyses for reproducing kernel semi-discretizations,” in proceedings Fourth World Congress on Computational Mechanics, (Buenos Aires, Argentina), June 1998.
1997
M. A. Christon. “A domain-decomposition message-passing approach to transient viscous incompressible flow using explicit time integration,” Computer Methods in Applied Mechanics and Engineering, 148:329 – 352, 1997. (Sandia National Laboratories SAND96-2485).
S. P. Burns and M. A. Christon, “Spatial domain-based parallelism in large-scale, participating- media radiative transport applications," Numerical Heat Transfer, Part B, vol. 31, pp. 401 – 427, 1997.
M. A. Christon, D. A. Crawford, E. S. Hertel, J. S. Peery, and A. C. Robinson, “ASCI Red - Experiences and lessons learned with a massively parallel TeraFLOP supercomputer,” Supercomputer 1997, Mannheim, Germany, June 19-21, 1997. (PDF)
Non-Traditional Publications
M. A. Christon, International Journal for Numerical Methods in Fluids, cover image of HYDRA results for cylinder vortex shedding at a Reynolds number of 250, 1994.
M. A. Christon, “Avalanches and Thermal Gradients in Depth Hoar” pixel, March/April issue, pp. 9-10, 1991.
M. A. Christon, P. Burns, “The Underworld of Ice, Three Dimensional Microanalysis of Temperature Gradient Metamorphism," Projects in Scientifc Computing 1989-90, Pittsburgh Supercomputing Center, pp. 34-35, 1990.
M. A. Christon, R. Schweitzer, E. Thigpen, “Cover Story - Going with the Flow,” Cover and Cover Story for Supercomputing Review, pp. 4-5, February, 1989.
M. A. Christon, P. Burns, R. Sommerfeld, “CRAY CHANNELS - User News,” Color Images for User News article in CRAY CHANNELS Magazine, pp. 34-35, Winter Edition, 1989.
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