The research of John Bechtold is in the area of Applied Mathematics, particularly in mathematical modeling, asymptotic and perturbation techniques and mathematical methods for nonlinear problems. The applications of his work come primarily from combustion theory. The focus of much of his work has been on the use of multi-scale methods on large systems governing combustion in order to extract simpler models that retain the essential physics of a given combustion process. Such models are often amenable to analysis and are essential for providing lucid insights into key physical processes. He has developed models describing the evolution of thin reaction fronts in a variety of systems, including premixed flames, diffusion flames, liquid propellants and materials synthesis. Because of the interdisciplinary nature of combustion, a significant portion of his work involves collaborations with experimentalists. His current research interests include: the development of theories of high-pressure combustion, with C. K. Law of Princeton University; a theory of flow reversal driven by fluctuating flames, with H. Im of the University of Michigan; and hydrodynamic flame models, with M. Matalon of the University of Illinois.
The research of John K. Bechtold has focused on the modeling and analysis of physical problems, primarily in the area of theoretical combustion. His studies cover a wide range of topics in both premixed and non-premixed combustion, including stability, ignition, extinction, and complex flame/flow interactions. His current projects include the development of new generalized models of near-stoichiometric flames, stability of expanding and converging flames, and radiation-driven flows in microgravity.
Wang, H., Law, C. K. and Bechtold, J. K., "Forced Oscillations in Diffusion Flames near Resonance," paper no. 1646, 4th Joint Meeting of the U.S. Sections of the Combustion Institute, Philadelplhia PA, March, 2005.
Jomaas, G., Law, C. K. and Bechtold, J. K., "On the Transition to Cellular Propagation of Expanding Spherical Flames," paper no. AIAA 2005-0713, 43rd Aerospace Sciences Meeting and Exhibit, Reno, NV January, 2005.
Wang, H., Law, C. K. and Bechtold, J. K., "Nonlinear Instabilities in Diffusion Flames," paper no. AIAA 2005-0544, 43rd Aerospace Sciences Meeting and Exhibit, Reno, NV January, 2005.
Yoo, S. W., Qian, J., Bechtold, J. K. and Law, C. K., "Dynamics of Rotating Spherical Diffusion Flames," paper no. AIAA 2005-1141, 43rd Aerospace Sciences Meeting and Exhibit, Reno, NV January, 2005.
Yoo, S. W., Qian, J., Bechtold, J. K. and Law, C. K., "Response of Rotating Spherical Diffusion Flames with General Lewis Number," Western States Section of The Combustion Institute, 2004 Technical Meeting, Berkley CA, April 2004.
Bechtold, J. K., Antoniou, E. S. and Matalon, M., "Extinction of Near-Stoichiometric Flames in a Strained Flow Field," Third Joint Meeting of the Combustion Institute, Chicago, IL, March 2003.
Bechtold, J. K. and Matalon, M., "Some New Results on Markstein Number Predictions," paper no. AIAA 2000-0575, 38th Aerospace Sciences Meeting and Exhibit, Reno, NV January, 2000.