Reduced order modeling for contaminant transport and mixing in building systems: A case study using dynamical systems techniques

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 902-907

  Surana, Amit ^a   Hariharan, Nathan ^a   Narayanan, Satish ^a   Banaszuk, Andrzej ^a  

^a UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; MATHEMATICAL MODELS; SCHRODINGER EQUATION; THREE DIMENSIONAL; VENTILATION;

CASE STUDIES; CONTAMINANT TRANSPORT; CONTROL SCHEMES; IN BUILDINGS; IN-BUILDING SYSTEMS; LAGRANGIAN COHERENT STRUCTURES; MECHANICAL VENTILATION SYSTEM; MODEL REDUCTIONS; PROPER ORTHOGONAL DECOMPOSITION; REDUCED ORDER MODELLING; SENSOR PLACEMENT; THREE-DIMENSIONAL ROOM;

MIXING;

EID: 52649085878     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586607     Document Type: Conference Paper

References (21)

1. W. S. Dols, A tool for modeling airflow and contaminant transport, ASHRAE J., March 2001, pp 35-41.
2. P. Holmes, J. L. Lumley and G. Berkooz, Turbulence, Coherent Structures, Dynamical Systems and Symmetry ,Cambridge University Press, 1996.
3. C. W. Rowley, Modeling, Simulation, and Control of Cavity Flow Oscillations, Ph. D. Thesis, California Institute of Technology , 2001.
4. J. M. Ottino, The kinematics of mizing, stretching, choas and transport, Cambridge Text in Applied Mathematics, 1989.
5. S. Wiggins, Chaotic Transport in Dynamical Systems,Springer- Verlag, 1993.
6. J. C. R. Hunt, A. Wray and P. Moin, Eddies, streams, and convergence zones in turbulent flows, Center for Turbulence Reserach Report CTR-S88, 1988.
7. G. Haller, An objective definition of a vortex, J.F.M., vol. 525, 2005, pp 1-26.
8. M. A. Green, C. W. Rowley and G. Haller, Detection of Lagrangian coherent structures in 3D turbulence, J.F.M., vol. 525, 2005, pp 1-26.
9. G. Haller, Finding finite-time invariant manifolds in two-dimensional velocity data, Chaos, vol. 10, 2000, pp 99-108.
10. G. Haller and G. Yuan, Lagrangian coherent structures and mixing in two-dimensional turbulence, Physica D, vol. 147, 2000, pp 352-370.
11. G. Haller, Lagrangian coherent structures and the rate of strain in two-dimensional turbulence, Phys. Fluids A, vol. 13, 2001, pp 3365-3385.
12. G. Haller, Distinguished material surfaces and coherent sturtcures in three-dimensional fluid flows, Physica D, vol. 149, 2001, pp 248-277.
13. T. Sapsis and G. Haller, Instabilities in the dynamics of neutrally buoyant particles, submitted to Phys. Fluids, 2007.
14. M. Mathur, G. Haller, T. Peacock, J.E.R. Felsot and H. L. Swinney, Uncovering the Lagrangian skeleton of turbulence, Physics Review Letters, vol. 98, 2007 (144502).
15. S. C. Shadden, F. Lekien and J. E. Marsden, Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponent in two-dimensional aperiodic flows, Physica D, vol. 212, 2005, pp 271-304.
16. F. Lekien, S. C. Shadden and J. E. Marsden, Lagrangian coherent structures in n-dimensional systems, Journal of Mathematical Physics, vol. 48, 2007 (065404).
17. F. Leiken and N.E. Leonard, "Dynamically consistent Lagrangian coherent structures", Experimental Chaos: 8th Experimental Chaos Conference, AIP Conf. Proc 742, 2004, pp 132-139.
18. F. Sadlo and R. Peikert, Visulizing Lagrangian cohorent structures and comparsion to vector field topology, to appear in Topology based methods in visualization, mathematics+Visualization, Springer, 2007.
19. J. Sahner, T Weinkauf, N. Teuber and H. Hege, Vortex and strain skeletons in Eulerian and Lagrangian frames, IEEE Transcations on Visulization and Computer Graphics, vol. 13(4), 2007, pp 1-10.
20. R Lohner and F. Camelli, Optimal placement of sensors for contamiannat detection based on detailed 3D CFD simulations, International Journal for Computer-Aided Engineering and Software, vol. 22, 2005, pp 260-273.
21. Y. Wang, G. Haller, A. Banaszuk and G. Tadmor, Closed-loop lagrangian separation control in shear flow model, Phys. Fluids, vol. 15(8), 2003, pp 2251-2266.