Dr. Sivaguru S. Ravindran

Professor, Mathematical Sciences Department

Biography

Ravindran is currently a professor at the University of Alabama in Huntsville, which he joined in 1999. Before coming to UAH, he held an NRC research fellow position in the Flow Modeling and Control Branch at NASA Langley Research Center. Prior to that appointment, he held a visiting assistant professor position in the Center for Research in Scientific Computation at North Carolina State University. He thanks both of these great institutions for the opportunities and mentoring and professional development.

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. His research is currently supported by NASA under the grant #NNM16AA06A. He has also received NASA Summer Faculty Research Fellowship seven times and spent the summers in the Fluid Dynamics and Thermal Analysis Branch at the NASA Marshall Space Flight Center (MSFC).

He has been a visiting scholar at many institutions, including the IMA at the University of Minnesota, ICERM at Brown University, INRIA at the University of Bordeaux, ICASE at NASA Langley, IPAM at the University of California at Los Angeles, SAMSI at RTP and MSRI at the University of California at Berkeley.

He has to his credit 70+ refereed publications in journals such as SIAM Journal of Control and Optimization, ESAIM:COCV, ESAIM:M2AN, Numerishe Mathematik, IMA journal of Numerical Analysis, SIAM Journal of Scientific Computing, 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 2000 citations (Google Scholar) 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. He has advised many graduate students and taught many graduate and undergraduate level courses in areas most related to modeling and analysis such as finite element methods, optimization & control, partial differential equations, numerical analysis, probability & statistics and matrix computations.


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 Diagnostics 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


Selected Publications

  • S.S. Ravindran, "Penalization of Dirichlet Boundary Control for Nonstationary Magneto-hydrodynamics", SIAM Journal on Control and Optimization (SICON), Accepted, May 2020.
  • S. S. Ravindran, "An Efficient Long-Time Stable Second-Order Accurate Time-Stepping Scheme for Evolutionary Magneto Micropolar Flows", Computers & Mathematics with Applications, Volume 79(5), 2020, pp. 1302-1320.
  • S.S. Ravindran, "Partitioned Time Stepping Scheme for MHD System with Temperature Dependent Coefficients", IMA Journal of Numerical Analysis, Volume 39, Issue 4 October 2019, pp. 1860-1887.
  • S.S. Ravindran, "Analysis of A Second-Order Decoupled Time-Stepping Scheme for Transient Viscoelastic Flow", International Journal of Numerical Analysis and Modeling,Volume 17, Number 1, 2020, pp. 87-109.
  • S.S. Ravindran, "Analysis of a Decoupled Time-Stepping Algorithm for Reduced MHD System Modeling Magneto-Convection", Numerical Methods for Partial Differential Equations,Volume 34(6), pp. 1953-1974, 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 , Volume 28(6), pp. 1335-1351, 2018
  • 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.