Anatoli Tumin

Professor of Aerospace and Mechanical Engineering

Professor, Applied Mathematics Graduate Interdisciplinary Program
Anatoli Tumin is a Professor of Aerospace and Mechanical Engineering and a Member of the Applied Mathematics program at the University of Arizona. He received his M. S. in physics and applied mathematics from Novosibirsk State University (1972) and his Ph.D. and Dr. Sci. in physics and mathematics from the Moscow Institute of Physics and Technology (MIPT) in 1975 and 1987, respectively. In 1975, he joined the faculty of the Physics Department at MIPT. In 1982, he was employed by the ScientificIndustrial Design Bureau “Molniya,” where he participated (as Lead Designer and Head of Sector) in the design of the Soviet Space Shuttle “Buran.” His responsibilities included prediction of laminarturbulent transition and nonequilibrium heat transfer in reentry flight, specification of tolerances for elements of thermoprotection system, and other aspects of aerothermodynamics relevant to the design of hypersonic vehicles. In 1992, he joined the faculty of TelAviv University. In 2000, he joined the faculty of the University of Arizona. His current research interests include theoretical and computational studies of stability, laminarturbulent transition, and flow control in highspeed flows including real gas effects.
Degrees
 D.S. Physics and Applied Mathematics
 Moscow Institute of Physics and Technology, Russian Federation
 Ph.D. Physics and Applied Mathematics
 Moscow Institute of Physics and Technology, Russian Federation
 M.S. Physics and Applied Mathematics (two degrees)
 Novosibirsk State University, Novosibirsk, Russian Federation
Work Experience
 University of Arizona, Tucson, Arizona (2000  Ongoing)
 Tel Aviv University (1993  2002)
 Tel Aviv University (1992  1993)
 Moscow Institute of Physics and Technology (1990  1992)
 ScientificIndustrial Design Office (1982  1990)
 Moscow Institute of Physics and Technology (1975  1982)
Interests
Teaching
Fluid mechanics, Heat Transfer, Mathematical methods in engineering
Research
Hydrodynamic stability and transition to turbulence in highspeed boundary layers, Aerodynamic heating, Flow control
Courses
Adv Engineering Analysis
AME 500A (Fall 2019)
AME 500A (Fall 2018)
AME 500A (Fall 2017)
AME 500A (Fall 2016)
AME 500B (Spring 2021)
AME 500B (Spring 2020)
AME 500B (Spring 2019)
AME 500B (Spring 2017)
AME 500B (Spring 2016)
Boundary Layers
AME 535 (Fall 2019)
AME 535 (Fall 2017)
Compressible Fld Dynamic
AME 536C (Fall 2018)
AME 536C (Fall 2016)
Independent Study
AME 599 (Spring 2019)
AME 599 (Spring 2018)
AME 599 (Spring 2017)
AME 599 (Fall 2016)
AME 599 (Spring 2016)
MATH 599 (Fall 2019)
MATH 599 (Spring 2018)
MATH 599 (Fall 2017)
Research
AME 900 (Fall 2018)
AME 900 (Spring 2018)
AME 900 (Fall 2017)
MATH 900 (Fall 2019)
MATH 900 (Spring 2019)
MATH 900 (Spring 2018)
Thesis
AME 910 (Spring 2020)
AME 910 (Fall 2019)
AME 910 (Spring 2019)
Dissertation
AME 920 (Spring 2021)
AME 920 (Fall 2020)
MATH 920 (Spring 2021)
MATH 920 (Fall 2020)
MATH 920 (Spring 2020)
MATH 920 (Fall 2019)
MATH 920 (Spring 2019)
MATH 920 (Fall 2018)
Selected Publications
Journals/Publications
 Edwards, L. D., & Tumin, A. (2019). Model of Distributed Receptivity to Kinetic Fluctuations in HighSpeed Boundary Layers. AIAA J. doi:10.2514/1.J058432
 Fedorov, A., & Tumin, A. (2017). Receptivity of HighSpeed Boundary Layers to Kinetic Fluctuations. AIAA J, 55(7), 23352348.
 Chiquete, C., & Tumin, A. (2012). Stability of detonation in a circular pipe with porous walls. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 370(1960), 668688.
 Lifshitz, Y., Degani, D., & Tumin, A. (2012). Study of discrete modes branching in highspeed boundary layers. AIAA Journal, 50(10), 22022210.
 Fedorov, A., & Tumin, A. (2011). HighSpeed BoundaryLayer instability: Old terminology and a new framework. AIAA Journal, 49(8), 16471657.
 Tumin, A., Wang, X., & Zhong, X. (2011). Numerical simulation and theoretical analysis of perturbations in hypersonic boundary layers. AIAA Journal, 49(3), 463471.
 Shalaev, I., & Tumin, A. (2010). Initialvalue problem for perturbations of idealized detonations in circular pipes. Combustion Theory and Modelling, 14(1), 122.
 Tumin, A. (2009). Comment on "Interaction of small perturbations with shock waves" [Phys. Fluids 16, 4489 (2004)]. Physics of Fluids, 21(7).
 Lifshitz, Y., Degani, D., & Tumin, A. (2008). On the interaction of turbulent shear layers with harmonic perturbations. Flow, Turbulence and Combustion, 80(1), 6180.
 Tumin, A. (2008). Comment: "Instability of isolated planar shock waves" [Phys. Fluids 19, 094102 (2007). Physics of Fluids, 20(2).
 Tumin, A. (2008). Nonparallel flow effects on roughnessinduced perturbations in boundary layers. Journal of Spacecraft and Rockets, 45(6), 11761184.
 Tumin, A. (2007). Initialvalue problem for small disturbances in an idealized onedimensional detonation. Physics of Fluids, 19(10).
 Tumin, A. (2007). Multidomain spectral collocation method for stability analysis of detonations. AIAA Journal, 45(9), 23562359.
 Tumin, A. (2007). Threedimensional spatial normal modes in compressible boundary layers. Journal of Fluid Mechanics, 586, 295322.
 Tumin, A., Xiaolin, X., & Zhong, X. (2007). Direct numerical simulation and the theory of receptivity in a hypersonic boundary layer. Physics of Fluids, 19(1).
Proceedings Publications
 Luna, K., & Tumin, A. (2020, January). The Role of Fluctuang Dissipave Fluxes in the Recepvity of HighSpeed Reacng Binary Mixtures to Kinec Fluctuaons. In AIAA Paper 20200107.
 Tumin, A. (2020, January). LST and the Eigenfuncon Expansion Method for Linearized NavierStokes Equaons – a Summary. In AIAA Paper 20200105.
 Tumin, A. (2020, January). Wave Packets and Supersonic Second Modes in a HighSpeed Boundary Layer. In AIAA Paper 20200106.
 Luna, K., & Tumin, A. (2019, January). Receptivity of HighSpeed Boundary Layers in Binary Mixture of Gases to Kinetic Fluctuations,. In AIAA Paper 20191382.
 Wu, L., & Tumin, A. (2019, January). Receptivity of Turbulent Compressible Mixing Layers to Localized Energy Deposition,. In AIAA Paper 20191652.
 Edwards, L., & Tumin, A. (2018, January). Receptivity to Kinetic Fluctuations: A Multiple Scales Approach. In AIAA Paper 20181075.
 Edwards, L., & Tumin, A. (2017, 1). Real gas effects on receptivity to kinetic fluctuations. In AIAA Paper 20170070.
 Edwards, L., & Tumin, A. (2017, 6). Analysis of Receptivity to Kinetic Fluctuations in the ReentryF Flight Experiment. In AIAA Paper 20173633.
 Fedorov, A., & Tumin, A. (2016, June). Receptivity of HighSpeed Boundary Layers to Kinetic Fluctuations. In AIAA Paper No. 20163191.
 Sivasubramanian, J., Tumin, A., & Fasel, H. F. (2016, June). The Reynolds Number Effect on Receptivity to a Localized Disturbance in a Hypersonic Boundary Layer. In AIAA Paper No. 20164246.
 Klentzman, J., & Tumin, A. (2014, September 812). The Second Mode in Highenthalpy Boundary Layers in Chemical nonequilibrium. In IUTAMABCM 8th Symposium on Laminar Turbulent Transition.
 Klentzman, J., & Tumin, A. (2013, January). Stability and receptivity of high speed boundary layers in oxygen. In AIAA Paper 20132882.
 Klentzman, J., Ulker, E., & Tumin, A. (2012, January). Projection of the solution of the linearized navierstokes equations in reacting high speed boundary layers onto discrete modes. In AIAA Paper 20123149.
 Lifshitz, Y., Degani, D., & Tumin, A. (2012, January). Study of discrete modes branching in highspeed boundary layers. In AIAA Paper 20120919.
 Rodríguez, D., Tumin, A., & Theofilis, V. (2011, January). Towards the foundation of a global modes concept. In AIAA Paper 20113603.
Presentations
 Luna, K., & Tumin, A. (2019, November). The Role of Fluctuating Dissipative Fluxes in the Receptivity of HighSpeed Chemically Reacting Boundary Layers in Binary Mixtures to Kinetic Fluctuations. APS 72nd DFD Meeting. Seattle, WA: APS.
 Tumin, A. (2019, November). The Eigenfunction Expansion Method for Linearized NavierStokes Equations. Invited lecture at VKI, Brussels, Belgium. Brussels, Belgium.
 Edwards, L., & Tumin, A. (2018, June). Receptivity of HighSpeed Compressible BoundaryLayers to Kinetic Fluctuations. 18th U.S. National Congress for Theoretical and Applied Mechanics. Chicago, Illinois: U.S. National Theoretical and Applied Mechanics.
 Luna, K., & Tumin, A. (2018, November). Receptivity of highspeed boundary layers in binary mixture of gases to kinetic fluctuations. 71st Annual Meeting of the APS Division of Fluid Dynamics. Atlanta, GA: APS.
 Edwards, L., & Tumin, A. (2017, 11). Receptivity to Kinetic Fluctuations: A Multiple Scales Approach. 70th Annual Meeting of the APS Division of Fluid Dynamics. Dener CO: APS.
 Tumin, A., & Edwards, L. D. (2016, November). Real Gas Effects on Receptivity to kinetic fluctuations. the 69th Annual Meeting of the APS Division of Fluid Dynamics..
 Tumin, A., & Klentzman, J. (2014, June 1520). The Second Mode in Highenthalpy Boundary Layers in Chemical Nonequilibrium. 17th US National Congress of Theoretical and Applied Mechanics. Michigan State University, East Lansing, MI.