Publications

Selected publications

S.S. Ravindran: On the Dynamics of Controlled MHD System with Distributed Controls, Nonlinear Analysis: Modelling and Control, (in press) 2008.

S.S. Ravindran : Optimal Boundary Feedback Stabilization of Fluid Flow by Model Reduction, Computer Methods in Applied Mechanics and Engineering, Volume 196(2007), pp. 2555-2569.

S.S. Ravindran : Stabilization of Navier-Stokes Equations by Boundary Feedback, International Journal of Numerical Analysis and Modeling, Volume 4, Number 3-4 (2007), pp. 608-624.

S.S. Ravindran : Reduced-Order Controllers for Control of Flow Past an Airfoil, International Journal for Numerical Methods in Fluids, Volume 50(5) (2006), pp. 531--554.

S.S. Ravindran : Real time computational algorithms for optimal control of an MHD flow system, SIAM Journal on Scientific Computing, Volume 26(4)(2005), pp. 1369-1388.

S.S. Ravindran : Numerical Approximation of Optimal Control of Unsteady Flows using SQP and Time Decomposition, International Journal for Numerical Methods in Fluids, Volume 45(2004), pp. 21--42.

S.S. Ravindran : Adaptive Reduced-Order Controllers for a Thermal Flow System, SIAM Journal on Scientific Computing , Vol. 23(6) (2002), pp.1925--1943.

S.S. Ravindran : Control of flow separation over a forward-facing step by Model reduction, Computer Methods in Applied Mechanics and Engineering, Vol 191 (2002), pp 4599-4617.

S.S. Ravindran : Time-Domain Decomposition Methods for Solving Optimal Flow Control Problems , AIAA Paper 2002-3281, 1st AIAA Flow Control Conference, AIAA, St. Louis, July, 2002.

S.S. Ravindran : Reduced-Order Adaptive Controllers for MHD Flows Using Proper Orthogonal Decomposition, 40th IEEE Conference on Decision and Control, IEEE, Vol.3, pp 2454-2459, 2001.

K. Ito and S.S. Ravindran : Reduced Basis Method for Optimal Control of Unsteady Viscous Flows, International Journal of Computational Fluid Dynam ics, Vol.15 (2001), pp.97-113.

S.S. Ravindran : Reduced-Order Adaptive Controllers for Fluid Flows Using POD, Journal of Scientific Computing, Vol. 15(4) (2000), 457--478.

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, Vol. 20(5) (1999), pp. 1753 - 1777.

L.S. Hou and S.S. Ravindran: Penalty Methods For Numerical Approximations of Optimal Boundary Flow Control Problems, International Journal of Computational Fluid Dynamics,, 11, pp.157-167, 1999.

S.S. Ravindran : Proper Orthogonal Decomposition in Optimal Control of Fluids, NASA Technical Memorandum, NASA TM 1999-209113, NASA , 1999.

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 J. Control and Optimization, Vol. 36(5)(1998), pp. 1795--1814.

K. Ito and S.S. Ravindran : A Reduced Order Method for Simulation and Control of Fluid Flows, Journal of Computational Physics, , Vol. 143(2) (1998), pp. 403--425.

K. Ito and S.S. Ravindran : Optimal Control of Thermally Convected Flows, SIAM Journal on Scientific Computing , Vol. 19(6)(1998), pp. 1847-1869.

S.S. Ravindran : Numerical Approximation of Optimal Flow Control Problems by SQP Method , Optimal Control of Viscous Flows , SIAM , pp. 181--198, 1998.

K. Ito and S.S. Ravindran : A Reduced Order Method for Control Problems Governed by PDEs, International Series of Numerical Mathematics ,Vol. 126 (1998), Birkhauser Verlag, Basel, pp. 153--168.

M.D. 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),(1997) pp. 243--268.

S.S. Ravindran : Numerical Solution of Optimal Control for Thermally Convected Fluid Flow, International Journal for Numerical Methods in Fluids , Vol.25(2) (1997), pp. 205--223.

Hou, L. S.; Ravindran, S. S.; Yan, Y. : Numerical solution of optimal distributed control problems for incompressible flows. International Journal of Computational Fluid Dynam ics, 8 (1997), no. 2, 99--114

K. Ito and S.S. Ravindran : Reduced Order Methods for Nonlinear Infinite Dimensional Control Systems, Proc. 36th IEEE Conf. Decision and Control, IEEE , Vol.3, pp. 2213 - 2218, 1997.

L.S. Hou and S.S. Ravindran : Computation of Boundary Control for Electrically Conducting Flows , Journal of Computational Physics, ,Vol. 128(2) (1996), pp319-330.

S.S. Ravindran: Numerical Solution of Optimal Boundary Control of Navier-Stokes Flows , AIAA Paper 96-4048, NASA, and ISSMO, Sysmposium on Multidisciplinary Analysis and Optimization, Washington, Sept. 4-6 1996.

K. Ito and S.S. Ravindran : Optimal control of compressible Navier-Stokes equations Proc. 35th IEEE Conf. Decision and Control, IEEE , Vol.4, pp. 3700 - 3704, 1996.

J.S. Scroggs and H.T. Banks and K. Ito and S.S. Ravindran and H.T. Tran and K.J. Bachmann and R.H. Castleberry and N. Dietz : High Pressure Vapor Transport of ZNGEP2: II Three dimensional simulations of gas dynamics under microgravity conditions, 124th TMS Annual Meeting, 7th international symposium on Experimental Methods for Microgravity Materials Science, The Minerals, Metals & Materials Society (TMS) , Las Vegas, NV, 1995, pp. 67-72.

K. Ito and S.S. Ravindran : Optimal Control of Thermally Coupled Navier-Stokes Equations, Proc. 34th IEEE Conference on Decision and Control, IEEE , Volume 1, 1995, pp.461-466.

M.D. Gunzburger, L.S. Hou, S.S. Ravindran and J. Turner : Analysis and approximation of optimal control problems with nonlinear constraints, Proc. 33rd IEEE Conf. Decision and Control, IEEE , Volume 1, 1994, 299-304.

L.S. Hou and S.S. Ravindran : Finite element approximation for opti mal control of electrically conducting fluid flows, Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics , Proceedings of Symposia in Applied Mathematics, AMS , Vol.48, pp. 305 -- 309, 1994.

A Feature Article in NASA Tech Briefs

S.S. Ravindran : Proper Orthogonal Decomposition in Optimal Control of Fluids: Suitably formulated reduced-order mathematical models can be satisfactory approximations for purposes of control, NASA Tech Briefs: Engineering Solutions for Design and Manufacturing, L17846, NASA , October 1999.