Dr. Sivaguru Ravindran

Professor, Mathematical Sciences Department

Biography

Dr. Ravindran is currently a professor at The University of Alabama in Huntsville, which he joined in 1999. Prior to this appointment, he was an NRC research fellow in the Flow Physics and Control Branch at NASA Langley Research Center. Previous to that, he was a visiting assistant professor in the Center for Research in Scientific Computation at North Carolina State University.

He is a six-time recipient of NASA Summer Faculty Research Fellowship and spent the summers of 2003, 2006, 2009, 2010, 2012 and 2015 in the Fluid Dynamics and Thermal Analysis Branch at the NASA Marshall Space Flight Center (MSFC). As principal investigator of various research grants, he has conducted research for agencies such as the National Science Foundation, DOD, NASA Langley Research Center and NASA Marshall Space Flight Center.

He has to his credit numerous refereed publications in journals such as Numerishe Mathematik, SIAM Journal of Scientific Computing, SIAM Journal of Control and Optimization, Numerical Methods for Partial Differential Equation, Numerical Functional Analysis and Optimization, Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering, AIAA Journal of Propulsion and Power, Numerical Methods for Fluids and other professional journals and proceedings. He has also given invited lectures in France, Austria, Spain, India, Canada and the United States, and at professional societies such as SIAM, IEEE, AIAA, and ASME.

His scientific expertise has been recognized by over 1500 citations of his publications and, by invitations to consult by industry and government labs and to serve in the Editorial Boards of a number of international journals including Mathematical Problems in Engineering and Engineering Mathematics Letters. He has taught many graduate and undergraduate level courses in areas most related to computational mechanics such as finite element methods, partial differential equations, numerical analysis, probability & statistics and matrix computations.



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Education

  • Ph.D., Applied Mathematics, Simon Fraser University, 1994
  • M.S., Applied Mathematics, University of British Columbia, 1991
  • B. Sc (Hons.), University of Jaffna, Sri Lanka, 1987

Classes Taught


Honors & Awards

  • 2016-2018, NASA CAN research grant, A Variable Step-size Control for Long Time Transient Simulation of Cryogenic Heat Transfer Problems, (PI)
  • 2014-2015, UAH Individual Investigator Distinguished Research Award, (PI)
  • 2012-2013, URII grant, Temporally and Spatially-Resolved Digital Imaging Diagnositics for the Evaluation of Liquid Rocket Injector Dynamics and Combustion Stability, (Co-PI)
  • 2011-2012, DOD STTR grant, Fast Thermal Calculations for Responsive Targets in Support of Real-Time Scene Generation, (Co-PI)
  • 2011-2012, URII grant, Global Extrapolation of Solar Coronal Magnetic Field from Solar Dynamics Observatory Measurements, (Co-PI)
  • 2006-2009, NASA research grant, Higher Order Accurate Methods for Numerical Modeling of Thermo-fluid Transients, (PI)
  • 2004-2008, NSF SCREAMS grant, (PI)
  • NASA Summer Faculty Fellowship, 2003, 2006, 2009, 2010, 2012, 2015
  • 1997-1999, NRC Research Fellowship, "Active control of flow separation", 1997-1999

Affiliations

  • Associate Editor, Automation and Control Systems Journal, 2017 - present
  • Associate Editor, Engineering Mathematics Letters. (January 2012 - present)
  • Associate Editor, Journal of Mathematical Problems in Engineering. (January 2011 - present)

Selected Publications

  • S.S. Ravindran, "Partitioned Time Stepping Scheme for MHD System with Temperature Dependent Coefficients", IMA Journal of Numerical Analysis, Accepted, 2018.
  • S.S. Ravindran, "Analysis of A Second-Order Decoupled Time-Stepping Scheme for Transient Viscoelastic Flow", International Journal of Numerical Analysis and Modeling, Accepted, 2018.
  • S.S. Ravindran, "Analysis of a Decoupled Time-Stepping Algorithm for Reduced MHD System Modeling Magneto-Convection", Numerical Methods for Partial Differential Equations, Accepted, 2018.
  • S.S. Ravindran, "Finite Element Approximation of Dirichlet Control Using Boundary Penalty Method for Unsteady Navier-Stokes Equations", ESAIM: M2AN, Volume 51(3), pp. 825-849, 2017.
  • Alok K. Majumdar and S.S. Ravindran, "An Adaptive Approach for Prediction of Propellant Feedline Dynamics in Fluid Network", International Journal of Numerical Methods for Heat and Fluid Flow , Accepted, 2017.
  • S.S. Ravindran, "An Extrapolated Second Order Backward Difference Time-Stepping Scheme for Magnetohydrodynamic System", Numerical Functional Analysis and Optimization, Volume 37(8), pp. 990-1020, 2016.
  • S.S. Ravindran,"A Second-Order Backward Difference Time-Stepping Scheme for Penalized Navier-Stokes Equations Modeling Filtration Through Porous Media", Numerical Methods for Partial Differential Equations, Volume 32(2), pp. 681-705, 2016.
  • S.S. Ravindran, "Exact Boundary Controllability of Galerkin Approximations of Navier-Stokes System for Soret Convection", An International Journal of Optimization and Control: Theories & Applications, Volume 5(2), pp. 41-49, 2015.
  • S.S. Ravindran, "An analysis of blended three-step BDF time stepping scheme for Navier-Stokes type system related to Soret convection", Numerical Functional Analysis and Optimization, Volume 36(5) , pp.658-686, 2015
  • S.S. Ravindran, "Dirichlet Control of Unsteady Navier-Stokes type System related to Soret Convection by Boundary Penalty Method", ESAIM: Control, Optimisation and Calculus of Variations, Vol. 20, pp. 840-863, 2014.
  • S.S. Ravindran, "Convergence of Extrapolated BDF2 Finite Element Schemes For Unsteady Penetrative Convection Model" Numerical Functional Analysis and Optimization, Vol. 33(1),pp. 48-79, 2012.
  • Alok Majumdar and S.S. Ravindran, "Numerical Prediction of Conjugate Heat Transfer in Fluid Networks", AIAA Journal of Propulsion and Power, Vol. 27(3), pp. 620-630, 2011.
  • S.S. Ravindran, "Error Analysis for Galerkin POD Approximation of the Non-stationary Boussinesq Equations", Numerical Methods for Partial Differential Equations, Vol.27, pp. 1639-1665, 2011.
  • Alok Majumdar and S.S. Ravindran, "Fast, Nonlinear Network Solvers for Fluid and Thermal Transients", International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 16, pp. 617-637, 2010.
  • S.S. Ravindran, "Linear Feedback Control and Approximation for a System Governed by Unsteady MHD Equations", Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp. 524-541, 2008.
  • S.S. Ravindran, "Dynamics of Controlled MHD System with Distributed Controls", Nonlinear Analysis: Modeling and Control, Volume 13(3) (2008), pp. 351--377.
  • S.S. Ravindran, "Optimal Boundary Feedback Stabilization of Fluid Flow by Model Reduction", Computer Methods in Applied Mechanics and Engineering, 196/25-28 pp. 2555-2569, 2007.
  • S.S. Ravindran, "Stabilization of Navier-Stokes Equations by Boundary Feedback", International Journal of Numerical Analysis and Modeling, Vol. 4,Number 3-4, pp. 608-624, 2007.
  • S.S. Ravindran, "Reduced-Order Controllers for Control of Flow Past an Airfoil", International Journal for Numerical Methods in Fluids, 50(5), pp. 531--554, 2006.
  • S.S. Ravindran, "Real Time Computational Algorithms for Optimal Control of an MHD Flow System", SIAM Journal on Scientific Computing, Vol. 26(4), pp. 1369-1388, 2005.
  • S.S. Ravindran, "Numerical Approximation of Optimal Control of Unsteady Flows using SQP and Time Decomposition", International Journal for Numerical Methods in Fluids, Vol. 45, pp. 21--42, 2004.
  • S.S. Ravindran, "Control of Flow Separation Over a Forward-facing Step by Model Reduction", Computer Methods in Applied Mechanics and Engineering, Vol. 191 (41-42), pp. 4599-4617, 2002.
  • S.S. Ravindran, "Adaptive Reduced Order Controllers for a Thermal Flow System Using Proper Orthogonal Decomposition" {\bf SIAM Journal on Scientific Computing}, Vol. 23 (6), pp.1925--1943, 2002.
  • K. Ito and S.~S. Ravindran, "Reduced Basis Method for Optimal Control of Unsteady Viscous Flows", International Journal on Computational Fluid Dynamics, Vol. 15, pp. 97-113, 2001.
  • S.S. Ravindran, "A Reduced-Order Adaptive Controllers for Fluid Flows Using POD", Journal of Scientific Computing, Vol.15 (4), pp. 457--478, 2000.
  • S.S. Ravindran, "A Reduced Order Approach to Optimal Control of Fluids using Proper Orthogonal Decomposition", International Journal for Numerical Methods in Fluids, Vol. 34 (5), pp. 425--448, 2000.
  • L.S. Hou and S.S. Ravindran, "Numerical Approximation of Optimal Flow Control Problems by a Penalty Method: Error Estimates and Numerical Results" SIAM Journal on Scientific Computing, {\bf 20}(5), pp. 1753-1777, 1999.
  • L.S. Hou and S.S. Ravindran, "Penalty Methods For Numerical Approximations of Optimal Boundary Flow Control Problems", International Journal on Computational Fluid Dynamics, Vol. 11, pp.157-167, 1999.
  • K. Ito and S.S. Ravindran, "A Reduced Order Method for Simulation and Control of Fluid Flows", {\bf Journal of Computational Physics}, Vol. 143(2), pp. 403--425, 1998.
  • L.S. Hou and S.S. Ravindran, "A Penalized Neumann Control Approach for Solving an Optimal Dirichlet Control problem for the Navier-Stokes Equations", SIAM Journal on Control \and Optimization, Vol. 36(5), pp. 1795--1814, 1998.
  • K. Ito and S.S. Ravindran, "A Reduced Order Methods for Control Problems Governed by PDEs", International Series of Numerical Mathematics, Vol. 126, pp. 153-168, 1998.
  • K. Ito and S.S. Ravindran, "Optimal Control of Thermally Convected Fluid Flow", SIAM Journal on Scientific Computing, Vol. 19(6), pp. 1847-1869, 1998.
  • Max Gunzburger, L.S. Hou and S.S. Ravindran, "Finite Element Approximation of Some Optimal Control Problems for a Ginzburg-Landau Model for Superconductivity", Numerische Mathematik}, Vol. 77(2), pp. 243--268, 1997.
  • S.S. Ravindran, "Numerical Solution of Optimal Control for Thermally Convected Fluid Flow", International Journal for Numerical Methods in Fluids, Vol. 25(2), pp. 205--223, 1997.
  • L.S. Hou, S.S. Ravindran and Y. Yan, "Numerical Solutions of Optimal Distributed Control Problems for Incompressible Flows", International Journal on Computational Fluid Dynamics, Vol. 8(2), pp. 99--114, 1997.
  • L.S. Hou and S.S. Ravindran, "Computations of Boundary Optimal Control Problems for an Electrically Conducting Fluid", Journal of Computational Physics, 128(2), pp. 319--330, 1996.
  • L.S. Hou and S.S. Ravindran, "Finite Element Approximation for Optimal Control of Electrically Conducting Fluids", Proceedings of Symposia in Applied Mathematics, Vol. 48, 1995, pp. 305--309.