Donald Scott Stewart
For more information
Education
 Ph.D. Theoretical and Applied Science Cornell University 1981
 B.S. Engineering Science SUNY at Buffalo 1976
Academic Positions
 Courtesy Professor, Department of Mechanical and Aerospace Engineering, University of Florida, 2008  2013
 Director, Florida Institute for Research in Energetics, Technical Program, Jan. 20082012
 Professor, Department of Mechanical Science and Engineering, UIUC, Jan. 16, 2005date
 Combustion and Energetic Materials Team Leader, Center for Simulation of Advanced Rockets, 19971999
 Technical Coordinator for Systems Integration, Center for Simulation of Advanced Rockets, UIUC, 19971998
 Professor, Theoretical and Applied Mechanics, Mechanical and Industrial Engineering, Office of Supercomputing, UIUC, 19932004
 Associate Professor, University of Illinois, 19871993
 Visiting Scientist, Cranfield Institute of Technology, Cranfield, Bedford, England, Summer 1987
 Visiting Scientist, Cornell Mathematical Sciences Institute, Spring 1987
 Visiting Professor, Cornell University, SU 19831985
 Assistant Professor, University of Illinois, 19811987
 Visiting Research Scientist, National Center for Supercomputing Applications, 19901991
 Collaborator, Los Alamos National Laboratory, 1983date
 Research Associate and Instructor, Cornell University, 19801981
Other Professional Employment
 Research Engineer, Corning Glass Works, Corning, NY, 19801981
 Teaching and Research Assistant, Cornell University, 19771980
 Visiting Staff Member, Los Alamos National Laboratory, SU 19831988, 1990
Major Consulting Activities
 Consultant, Los Alamos National Laboratory, 19832009
Research Statement
Professor Stewart's research addresses a wide variety of problems in combustion, detonation and shock physics of energetic materials. His work focuses on advanced modeling and computational modeling of complex flows for combustion and shock physics systems.
Professor Stewart recently received a National Academies Fellowship, Senior Research Award, and is pursuing research at the Air Force Research Laboratory/Munitions Directorate at Eglin Air Force Base in Florida. He recently developed new descriptions of the ignition transients and criticality for wellposed continuum models of explosives that can be used to describe macroscopic phenomena. These models assume that the explosive is a continuum with welldefined average properties. Yet, at the microscopic level, energy adsorption and redistribution is uneven and localized. Understanding this process of energy partitioning requires models that account for this complex microstructural environment as well as the many kinds of mechanisms that absorb and release energy at that level.
As a National Academies Fellow, Professor Stewart studies complex issues involving the ignition of energetic materialsparticularly mechanisms and collective behaviors of reactive sites at the microscale. He also helps design optical probe experiments in condensed explosives that allow him to scientifically measure shock ignition transients to fit to theoretical models. The goal is to develop a basis for new submodels for explosive particle interactions.
Research Areas
 Fluid Mechanics
Selected Articles in Journals
 Stewart, D. S., J. A. Saenz, G. Rodriguez, A. R. Valenzuela, S. A. Clarke, A. A. Akinci, and K. Thomas, "The Initiation Mechanism of Direct Optical Initiation (DOI) Detonators," Proceedings of the 13th International Detonation Symposium, Office of Naval Research, Norfolk, VA, edited by S. M. Peiris, 393399, (2006).
 Stewart, D. S., S. Yoo, and D. E. Lambert, “Determination of the Lighting Radius for Detonation Shock Dynamics and Critical Ignition Transients in Condensed Explosives,” Proceedings of the 13th International Detonation Symposium, Office of Naval Research, Norfolk, VA, edited by S. M. Peiris, 737743, 2006.
 Wescott, B., D. S. Stewart, and W. C. Davis, "Modeling Diffraction and Dead Zones in PBX9502," Proceedings of the 13th International Detonation Symposium, Office of Naval Research, Norfolk, VA, edited by S. M. Peiris, 744750, 2006.
 Kapila, A. K., J. B. Bdzil, and D. S. Stewart, “On the Structure and Accuracy of Programmed Burn,” Combustion Theory and Modeling, 10:2, 289321, 2006.
 ! Stewart, D. S., and A. R. Kasimov, “On the State of Detonation Stability Theory and Its Application to Propulsion,” Journal of Propulsion and Power, 22:6, 12301244, 2006.
 Stewart, D. S., K. C. Tang, S. Yoo, M. Q. Brewster, and I. R. Kuznetzov, “MultiScale Modeling of Solid Rocket Motors: Time Integration Methods from Computational Aerodynamics Applied to Stable QuasiSteady Motor Burning,” Propulsion and Power, 22:6, 13821388, 2006.
 Lambert, D. L., D. S. Stewart, S. Yoo, and B. L. Wescott, “Experimental Validation of Detonation Shock Dynamics in Condensed Explosives,” Journal of Fluid Mechanics, 546, 227253, 2006.
 Stewart, D. S., “Miniaturization of Explosive Technology and Microdetonics,” Mechanics of the 21st Century, Proceedings of the International Conference of Theoretical and Applied Mechanics, Gutkowski, W. Kowalewski T. A.,eds., Springer, 379385, 2005.
 Wescott, B. L., D. S. Stewart, and W. C. Davis, “Equation of State and Reaction Rate for CondensedPhase Explosives,” Journal of Applied Physics, 98, 053514110, 2005.
 Stewart, D. S. and A. R. Kasimov, “Theory of Detonation with an Embedded Sonic Locus,” SIAM Journal of Applied Mathematics, 66:2, 384407, 2005.
 Yoo, S. and D. S. Stewart, “A Hybrid Levelset Method for Modeling Detonation and Combustion Problems in Complex Geometries,” Combustion Theory and Modeling, 9:2, 219254, 2005.
 Kuznetzov, I. and D. S. Stewart, “Burning Rate of Homogeneous Energetic Materials with Thermal Expansion and Varying Thermal Properties in the Condensed Phase,” Combustion Theory and Modeling, 9:2, 255272, 2005.
 Murphy, M., R. J. Adrian, D. S. Stewart, G. S. Elliot, K. Thomas, and J. E. Kennedy, “Visualization of Blast Waves Created by Exploding Bridgewires,” Journal of Visualization, 8:2, 125135, 2005.
 ! Kasimov, A. and D. S. Stewart, “Asymptotic Theory of Evolution and Failure of Selfsustained Detonation,” Journal of Fluid Mechanics, 525, 161192, (also TAM Report, 1042) 2005.
 Kasimov, A. and D. S. Stewart, “Numerical Simulation of Onedimensional Detonation in the Shockattached Frame,” Physics of Fluids, 16:10, 35663578, 2004.
 Wescott, B. L., D. S. Stewart, and J. B. Bdzil, “On Selfsimilarity of Detonation Diffractions,“ Physics of Fluids, 16:2, 373384, 2004.
 Stewart, D. S., W. C. Davis, and S. Yoo, “Equation of State for Modeling the Detonation Reaction Zone,” Proceedings of the 12th(International) Detonation Symposium, San Diego, Office of Naval Research ONR, 333052, 624, 2002.
 Kasimov A. and D. S. Stewart, “Spinning Instability of Gaseous Detonation,” Journal of Fluid Mechanic s, 466, 179203, 2002.
 Yoh, J., D. S. Stewart, and G. A. Ruderman, “A Thermomechanical Model for Energetic Materials with Phase Transformations: Analysis of Simple Motions,” SIAM Journal of Applied Mathematics, 63:2, 538563, 2002.
 ! Ruderman, G. A., D. S. Stewart, and J. Yoh, “A Thermomechanical Model for Energetic Materials with Phase Transformations,” SIAM Journal of Applied Mathematic, 63:2, 510537, 2002.
 ! Stewart, D. S., “Towards Miniaturization of Explosive Technology,” Shock Waves, 11, 467473, 2002.
 Hegab, A., T. L. Jackson. J. D. Buckmaster, and D. S. Stewart, “Nonsteady Burning of Periodic Sandwich Propellants with Complete Coupling between the Solid and Gas Phases,” Combustion and Flame, 125:12, 10551070, 2001.
 Bdzil, J. B., D. S. Stewart, and T. L. Jackson, “Program Burn Algorithms Based on Detonation Shock Dynamics: Discrete Approximations of Detonation Flows with Discontinuous Front Models,” Journal of Computational Physics, 174:2, 2001.
 Kuznetsov, I. R. and D. S. Stewart, “Modeling the Thermal Expansion Boundary Layer during the Combustion of Energetic Materials,” Combustion and Flame, 126:4, 17471763, 2001.
 Kapila, A. K., R. Menikoff, J. B. Bdzil, S. F. Son, and D. S. Stewart, “Twophase Modeling of Deflagrationtodetonation Transition in Granular Materials: Reduced equations,” Phys. Fluids, 13, 30023042, 2001.
 Ruderman, G. A., D. S. Stewart, and E. Fried, “Modeling the Mechanical Ignition Energetic Materials,” Proceedings of the 11th (International) Symposium on Detonation, Office of Naval Research, 33300, 573580, 2001.
 Stewart, D. S., J. Yao, and W. C. Davis, “Computation of Shock Acceleration Effects on Detonation Shock Dynamics for Explosives Described by General Equation of State,” Proceedings of the Combustion Institute, 28, 619628, 2000.
 Bdzil, J. B., R. Menikoff, S. F. Son, A. K. Kapila, and D. S. Stewart, “Twophase Modeling of Deflagrationtodetonation Transition in Granular Materials: A Critical Examination of Modeling Issues,” Physics of Fluids, 11:2, 378402, 1999.
 Aslam, T. D. and D. S. Stewart, “Detonation Shock Dynamics and Comparisons with Direct Numerical Simulation,” Combustion Theory and Modeling, 3, 77101, 1999.
 Short, Mark and D. S. Stewart, “The Multidimensional Stability of Weakheatrelease Detonations,” Journal of Fluid Mechanics, Vol. 382, 109143, 1999.
 Short, M. and D. S. Stewart, “Cellular Detonation Stability: A Normal Mode Linear Analysis,” Journal of Fluid Mechanics, 368, 229262, 1998.
 Stewart, D. S, “The Shock Dynamics of Multidimensional Condensed and Gas Phase Detonations,” Proceedings of the Combustion Institute, 27, 21892205, 1998.
 Stewart, D. S. and J. Yao, “The Normal Shock Velocitycurvature Relationship for Materials with Nonideal Equation of State and Multiple Turning Points,” Combustion, 113, 224235, 1998.
 Kapila, A. K., S. F. Son, J. B. Bdzil, R. Menikoff, and D. S. Stewart, “Twophase Modeling of DDT: Structure of the Velocity Relaxation Zone,” Physics of Fluids, 9, 12, 38853897, 1998.
 Buckmaster, J., M. Short, and D. S. Stewart, “The Use of Activation Energy Asymptotics in Detonation Theory, with Comment on "Multidimensional Stability Analysis of Overdriven Gaseous Detonation,” Physics of Fluids, 9, 3764, 10, 30273030, 1998.
 Xu, S., T. Aslam, and D. S. Stewart, “Highresolution Numerical Simulation of Ideal and Nonideal Compressible Reaction Flow with Embedded Internal Boundaries,” Combustion Theory and Modeling, 1:1, 113142, 1997.
 Stewart, D. S., T. D. Aslam, and J. Yao, “On the Evolution of Detonation Cells,” Proceedings of the 26th International Symposium on Combustion, 29812989, 1997.
 Short, M. and D. S. Stewart, “Lowfrequency, Twodimensional, Linear Instability of Plane Detonation,” Journal of Fluid Mechanics, 340, 249295, 1997.
 Xu, S. and D. S. Stewart, “Deflagration to Detonation Transition in Porous Energetic Materials: A Comparative Model Study,” Journal of Engineering Mathematics, 31, 143172, 1997.
 Aslam, T., J. B. Bdzil, and D. S. Stewart, “Levelset Methods Applied to Modeling Detonation Shock Dynamics,” Journal of Computational Physics, 126, 390409, 1996.
 Yao, J. and D. S. Stewart, “On the Dynamics of Multidimensional Detonation,” Journal of Fluid Mechanics, 309, 225275, 1996.
 Stewart, D. S., T. Aslam, J. Yao, and J. B. Bdzil, “Levelset Techniques Applied to Unsteady Detonation Propagation,” Modeling in Combustion Science, J. Buckmaster and J. Takeno, eds. Lecture Notes in Physics, 449, 352369, SpringerVerlag, 1995.
 Yao, J. and D. S. Stewart, “On the Normal Detonation Shock Velocitycurvature Relationship for Materials with Large Activation Energy,” Combustion and Flame, 100, 519528, 1995.
 Stewart, D. S., D. W. Asay, and M. Prasad, “Simplified Modeling of Transition to Detonation in Porous Energetic Materials,” Physics of Fluids, 6, 25152533, 1994.
 Klein, R. and D. S. Stewart, “The Relation between Curvature, Rate Statedependence and Detonation Velocity,” SIAM Journal of Applied Mathematics, 53:5, 14011435, 1993.
 Stewart, D. S. and J. B. Bdzil, “Asymptotics and multiscale simulation in a numerical combustion laboratory. Asymptotic Induced Numerical Methods for PDE's, Critical Parameters and Domain Decomposition,” NATO/ASI, H. G. Kaper and M. Garbey, eds., 384, 163187, 1993.
 Powers, J. and D. S. Stewart, “Exact Solutions for Oblique Detonation in the Hypersonic Limit,” AIAA Journal, 30, 762736, 1992.
 Bdzil, J. B., W. Fickett, and D. S. Stewart, “Detonation Shock Dynamics: A New Approach to Modeling Multidimensional Detonation Waves,” Proceedings of the 9th (International) Symposium on Detonation, 730742, 1990.
 Stewart, D. S. and J. B. Bdzil, “Examples of Detonation Shock Dynamics for Detonation Wave Spread Applications,” Proceedings of the 9th (International) Symposium on Detonation, 773789, 1990.
 Lee, H. I. and D. S. Stewart, “Calculation of Linear Detonation Instability, OneDimensional Instability of Plane Detonation,” Journal of Fluid Mechanics, 216, 103132, 1990.
 Powers, J., D. S. Stewart, and H. Krier, “Theory of Twophase Detonation, Part II: Structure,” Combustion and Flame, 80, 280303, 1990.
 Powers, J., D. S. Stewart, and H. Krier, “Theory of Twophase Detonation: Part I,” Combustion and Flame, 80, 264279, 1990.
 Jackson, T. L., A. K. Kapila, and D. S. Stewart, “Evolution of a Reaction Center in an Explosive Material,” SIAM Journal of Applied Mathematics, 49, 432458, 1989.
 Powers, J. M., D. S. Stewart, and H. Krier, “Analysis of Steady Compaction Waves in Porous Materials,” Journal of Applied Mechanics, 111, 1524, 1989.
 Kassoy, D. R., A. K. Kapila, and D. S. Stewart, “A Unified Formulation for Diffusive and Nondiffusive Thermal Explosion Theory,” Combustion Science Technology, 63, 3344, 1989.
 Bdzil, J. B. and D. S. Stewart, “Modeling of Twodimensional Detonation with Detonation Shock Dynamics,” Physics of Fluids A, 1, 12611267, 1989.
 Powers, J. M., D. S. Stewart, and H. Krier, “Twophase Steady Detonation Analysis,” Astronautics of Aeronautics of Progress, AIAA ed. A., 114, 341361, 1988.
 Stewart, D. S., “Shock Induced Thermal Explosion. Mathematical Modeling and Related Topics,” NATO ASI Series Series E, 140, Martinus Nijhoff Pub., 301304, 1988.
 Stewart, D. S. and J. B. Bdzil, “A Lecture on "Detonation Shock Dynamics,” Mathematical Modeling in Combustion Science, Lecture Notes in Physics, 249, SpringerVerlag Publishers, 1730, 1988.
 Chambers, D., R. Adrian, P. Moin, D. S. Stewart, and H. Sung, “KarhunenLoeve' Expansion of Buryers' Model of Turbulence,” Physics of Fluids, 31, 25732582, 1988.
 Stewart, D. S. and J. B. Bdzil, “The Shock Dynamics of Stable Multidimensional Detonation,” Combustion and Flame, 72, 311323, 1988.
 Stewart, D. S., “Plane Shock Initiation of Homogeneous and Heterogeneous Condensed Phase Explosives with a Sensitive Rate. Reacting Flows: Combustion and Chemical Reactors, Part I,” AMS Lectures in Applied Mathematics, 24, 403418, 1986.
 Bdzil, J. B. and D. S. Stewart, “TimeDependent TwoDimensional  The Interaction of Edge Rare Factions with Finite Reaction Zones,” Journal of Fluid Mechanics, 171, 126, 1986.
 Stewart, D. S., “Shock Initiation of Homogeneous and Heterogeneous Condensed Phase Explosives with a Sensitive Rate,” Combustion Science and Technology, 48, 309330, 1986.
 Stewart, D. S. and J. Buckmaster, “On the Stability of Linán's Premixed Flame Regime, revisited,” SIAM Journal of Applied Mathematics, 46, 582587, 1986.
 Buckmaster, J. D., D. S. Stewart, A. Ignatiadis, and M. Williams, “On the Wind Generated by a Collapsing Diffusion Flame,” Combustion Science and Technolog,y 46, 145165, 1986.
 Stewart, D. S., “On the Stability of the Reaction Zone of the Plane Deflagration,” Combustion and Flame, 64, 157165, 1986.
 Stewart, D. S., “Transition to Detonation in a Model Problem,” Journal de Mechanique Théorique et Applique, 4, 103137, 1985.
 Stewart, D. S., A. K. Kapila, and G. S. S. Ludford, “Deflagrations and Detonations for Small Heat Release,” Journal de Mecanique Théorique et Appliqueé, 3, 105115, 1984.
 Stewart, D. S. and G. S. S. Ludford, “Acceleration of Fast Deflagration Waves,” Z.A.M.M., 63, 291302, 1983.
 Stewart, D. S. and G. S. S. Ludford, “Fast Deflagration Waves,” Journal de Mecanique Théorique et Appliqueé, 3, 463487, 1983.
 Holmes, P. J. and D. S. Stewart, “The Existence of Onedimensional Steady Detonation Waves in a Model Problem,” Studies in Applied Mathematics 66, 21143 1982.
Professional Societies
 Member, AAM
 Member, ASME, 2002date
 Member, AIAA, 1993date
 Member, The Combustion Institute, Member, 1988date
 Member, American Physical Society, Topical Group on Shock Compression of Condensed Matter, 1986date
 Program Committee, American Physical Society, Division of Fluid Dynamics 20082011
 Fellowship Committee, American Physical Society, Division of Fluid Dynamics, 20062007
 Member, American Physical Society, 1986date
 Member, SIAM, 1984date
 Member, Sigma Xi, 1981
 Member, Tau Beta Pi, 1976date
Teaching Honors
 Engineering Council Award in Excellence in Advising, 2006
 UIUC College of Engineering, Outstanding Advisor Award, 1999
 Incomplete List of Teachers Rated as Excellent, TAM 459, (Asymptotics and Singular Perturbation Theory, Spring 1988, 1999); TAM 470 (Advanced Numerical Methods for Computational Fluid Mechanics, Spring 2000)
Research Honors
 Shao Lee Soo Professor, Department of Mechanical Science and Engineering, UIUC, August 16, 2008date
 Listed in Marquis “Who’s Who in America,” 62nd Edition, 2008
 National Academy Fellow, Senior Research Award, 200708
 Phi Kappa Phi, 2004
 Associate Fellow, AIAA, 2004
 Fellow Institute of Physics, 1999
 Fellow, American Physical Society, Division of Fluid Dynamics, 1998
Related News

February 2, 2018
Matalon, Stewart honored in first class of Combustion Institute Fellows
 November 4, 2015
 March 11, 2015
 February 8, 2013