Low-Dimensional Modeling

Low-Dimensional Modeling

  1. X. Yang, D. Venturi, C. Chen, C. Chryssostomidis and G.E. Karniadakis, "EOF-based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound," Journal of Geophysical Research, 115, C12072, 2010.

  2. L. Grinberg, A. Yakhot and G.K. Karniadakis, "Analyzing transient turbulence in a stenosed carotid artery by proper orthogonal decomposition," Annals of Biomedical Engineering, 37(11), 2200-2217, 2009.


  3. B. Yildirim, C. Chryssostomidis and G.E. Karniadakis, "Efficient sensor placement for ocean measurements using low-dimensional concepts," Ocean Modeling, 273(3-4), 160-173, 2009.


  4. H. Gunes, S. Sirisup and G.E. Karniadakis, ''Gappy Data: To Krig or Not to Krig?'' 212, 358-382, 2006.


  5. S. Sirisup, D. Xiu, G. Karniadakis and X. Kevrekidis, ''Equation-free/Galerkin-free POD-assisted computation of incompressible flows," J. Comp. Phys., vol. 207, pp. 568-587, 2005.


  6. X. Wan and G.E. Karniadakis, ''An adaptive multi-element generalized polynomial chaos method for stochastic differential equations,'' J. Comp. Phys., vol. 209, pp. 617-642, 2005.


  7. S. Sirisup and G.E. Karniadakis, ''Stability and accuracy of periodic flow solutions obtained by a POD-penalty method,'' Physica D, vol. 202, pp. 218-237, 2005.


  8. D. Venturi and G.E. Karniadakis, ''Gappy data and reconstruction procedures for flow past a cylinder,''J. Fluid Mech., vol. 519, pp. 315-336, 2004.


  9. S. Sirisup and G.E. Karniadakis, ''A spectral viscosity method for correcting the long-term behavior of POD models,'' J. Comp. Phys., 194, 92-116, 2004.


  10. S. Sirisup, G.E. Karniadakis , Y. Yang and D. Rockwell, "Wave-structure interaction: simulation driven by quantitative imaging,'' Proc. Royal Soc., vol. 460, issue 2042, 729-755, February 2004.


  11. X. Ma, G.E. Karniadakis, H. Park and M. Gharib, ''DPIV-driven simulation: A new computational paradigm,'' Proc. Royal Soc. A, 459, 547-565, 2003.


  12. X. Ma and G.E. Karniadakis, ''A low-dimensional model for simulating 3D cylinder flow", J. Fluid Mech., vol. 458, pp. 181-190, 2002.


  13. B. Pulvirenti, X. Ma and G.E. Karniadakis, ''A POD-based nonlinear Galerkin method for flow-thermal problems,'' Proc. ECCOMAS, September 2001.


  14. X. Ma, G.-S. Karamanos and G.E. Karniadakis, ''Dynamics and low-dimensionality in the turbulent near-wake,'' J. Fluid Mech., vol. 410, pp. 29-65, 2000.


  15. X. Ma, G.E. Karniadakis, G. Karamanos and S.J. Sherwin, ''Issues in LES of wake flows,'' AIAA 98-2893, 29th AIAA Fluid Dynamics Conference, Albuquerque, NM, June 15-18, 1998.


  16. D.J. Newman and G.E. Karniadakis, ''Low-dimensional modeling of flow-induced vibrations via proper orthogonal decomposition,'' 21st Symposium on Naval Hydrodynamics, Norway, 1996.


  17. A.K. Bangia, P.F. Batcho, I.G. Kevrekidis and G.E. Karniadakis, ''Unsteady 2D flows in complex geometries: Comparative bifurcation studies with global eigenfunction expansions,'' SIAM J. Sci. Stat. Comp., vol. 18, p. 775, 1997.


  18. P. F. Batcho and G.E. Karniadakis, ''Generalized Stokes eigenfunctions: A new trial basis for the incompressible Navier-Stokes equations,'' J. Comp. Phys., vol 115, p. 121, 1994.


  19. P.F. Batcho and G.E. Karniadakis, ''Global spectral methods for the solution of incompressible Navier-Stokes equations in complex geometries,'' Proc. 5th Int. Symp. on CFD, Sendai, Japan, 1993.


  20. A.E. Deane, I.G. Kevrekidis, G.E. Karniadakis and S.A. Orszag, ''Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders,'' Phys. Fluids, vol. 3(10), p. 2337, 1991.