Low-Dimensional Modeling

  1. X. Yang, D. Venturi, C. Chen, C. Chryssostomidis, G. E. Karniadakis, “EOF-based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound.J. of Geophys. Rsch. 115, C12072, 2010.
  2. L. Grinberg, A. Yakhot and G. E. 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, G. E. Karniadakis, “Efficient sensor placement for ocean measurements using low-dimensional concepts.Ocean Modeling, 273(3-4), 160-173, 2009.
  4. S. Sirisup, D. Xiu, G. E. Karniadakis, X. Kevrekidis, ”Equation-free/Galerkin-free POD-assisted computation of incompressible flows. J. Comp. Phys. 207, 568-587, 2005.
  5. X. Wan, G. E. Karniadakis, ”An adaptive multi-element generalized polynomial chaos method for stochastic differential equations.J. Comp. Phys. 209, 617-642, 2005.
  6. S. Sirisup, G. E. Karniadakis, ”Stability and accuracy of periodic flow solutions obtained by a POD-penalty method.https://ui.adsabs.harvard.edu/abs/2005PhyD..202..218S/abstractPhysics D. 202, 218-237, 2005.
  7. D. Venturi, G. E. Karniadakis, ”Gappy data and reconstruction procedures for flow past a cylinder.J. Fluid Mech. 519, 315-336, 2004.
  8. S. Sirisup, G. E. Karniadakis, ”A spectral viscosity method for correcting the long-term behavior of POD models.” J. Comp. Phys. 194, 92-116, 2004.
  9. S. Sirisup, G. E. Karniadakis, Y. Yang,  D. Rockwell, “Wave-structure interaction: simulation driven by quantitative imaging.” Proc. Royal Soc. 460(2042), 729-755, 2004.
  10. X. Ma, G. E. Karniadakis, H. Park, M. Gharib, ”DPIV-driven simulation: A new computational paradigm.” Proc. Royal Soc. A. 459, 547-565, 2003.
  11. X. Ma*, G.E. Karniadakis, H. Park and M. Gharib, “DPIV/T-Driven convective heat transfer simulation.” Int. J. Heat & Mass Transfer, b, 3517-3527, 2002.
  12. X. Ma, G. E. Karniadakis, “A low-dimensional model for simulating 3D cylinder flow.” J. Fluid Mech. 458, 181-190, 2002.
  13. B. Pulvirenti, X. Ma, G. E. Karniadakis, ”A POD-based nonlinear Galerkin method for flow-thermal problems.” Proc. ECCOMAS,  2001.
  14. X. Ma, G.-S. Karamanos, G. E. Karniadakis, ”Dynamics and low-dimensionality in the turbulent near-wake.J. Fluid Mech. 410, 29-65, 2000.
  15. X. Ma, G. E. Karniadakis, G. Karamanos, 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, 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, G. E. Karniadakis, “Unsteady 2D flows in complex geometries: Comparative bifurcation studies with global eigenfunction expansions.SIAM J. Sci. Stat. Comp. 18, 775, 1997.
  18. P. F. Batcho, G. E. Karniadakis, ”Generalized Stokes eigenfunctions: A new trial basis for the incompressible Navier-Stokes equations.J. Comp. Phys. 115, 121, 1994.
  19. P. F. Batcho, G. E. Karniadakis, ”Global spectral methods for the solution of incompressible Navier-Stokes equations in complex geometries.” Proceeding 5th International Symposium on CFD, Sendai, Japan, 1993.
  20. A. E. Deane, I. G. Kevrekidis, G. E. Karniadakis, S. A. Orszag, ”Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders.Phys. Fluids. 3(10), 2337, 1991. doi:10.1063/1.857881