Publications

Below please find an up-to-date list of archival journal publications published by Prof. Frankel and his students from his Ph.D. until today:

  1. Frankel, S. H., and Madnia, C. K., and Givi, P., “Modeling of the Unmixedness in Homogeneous Reacting Turbulence”, Chemical  Engineering Communications, 104, pp. 117-125, 1991.
  2. Madnia, C. K., Frankel, S. H., and Givi, P., “Direct Numerical Simulations of the Unmixedness in a Homogeneous Reacting Turbulent Flow”, Chemical  Engineering Communications, 109, pp. 19-29, 1991.
  3. Frankel, S. H., Jiang, T. J., and Givi, P., “Modeling of Isotropic Reacting Turbulence by a Hybrid Mapping-EDQNM Closure”, American Institute for Chemical Engineering Journal, 38, (4), pp. 535-543, 1992.
  4. Frankel, S. H., Madnia, C. K., and Givi, P., “Modeling of the Reactant Conversion Rate in a Turbulent Shear Flow”, Chemical  Engineering Communications, 113, pp. 192-209, 1992.
  5. Madnia, C. K., Frankel*, S. H., and Givi, P., “Reactant Conversion in Homogeneous Turbulence: Mathematical Modeling, Computational Validations, and Practical Applications”, Theoretical and Computational Fluid Dynamics, 4, pp. 79-93, 1992.
  6. Miller, R. S., Frankel, S. H., Madnia, C. K., and Givi, P., “Johnson-Edgeworth Translation for Probability Modeling of Binary Scalar Mixing in Isotropic Turbulence”, Combustion, Science and Technology, 91, pp. 21-52, 1993.
  7. Frankel, S. H., Madnia, C. K., and Givi, P., “Comparative Assessment of Closures for Turbulent Reacting Flows”, American Institute for Chemical Engineering Journal, 39, (5), pp. 899-903, 1993.
  8. Frankel, S. H., McMurtry, P. A., and Givi, P., “Binary Scalar Mixing in Homogeneous Turbulence: Some Linear Eddy Model Results”, Energy and Fuels, 7, (6), pp. 827-834, 1993.
  9. Frankel, S. H., McMurtry, P. A., and Givi, P., “Linear Eddy Modeling of Reactant Conversion and Selectivity in Homogeneous Turbulence”, American Institute for Chemical Engineering Journal, 41, (2), pp. 258-266, 1995.
  10. DesJardin, P. E. and Frankel, S. H., “Assessment of Turbulent Combustion Submodels Using the Linear Eddy Model”, Combustion and Flame, 104, (3), pp. 343-357, 1996.
  11. DesJardin, P. E. and Frankel, S. H., “Linear Eddy Modeling of Nonequilibrium Turbulent Reacting Flows with Nonpremixed Reactants”, Combustion and Flame, 109, (3), pp. 471-487, 1997.
  12. Zimberg, M. J., Frankel, S. H., Gore, J. P., and Sivathanu, Y. R., “A Study of Coupled Turbulent Mixing, Soot Chemistry, and Radiation Effects Using the Linear Eddy Model”, Combustion and Flame, 113,(3), pp. 454-469, 1998.
  13. Zhang, D. and Frankel, S. H., “A Numerical Study of Natural Gas Combustion in a Lean Burn Engine”, Fuel, 77, (12), pp. 1339-1347, 1998.
  14. DesJardin, P. E. and Frankel, S. H., “Large Eddy Simulation of a Nonpremixed Reacting Jet: Application and Assessment of Subgrid-Scale Combustion Models”, Physics of Fluids, 10, (9), pp. 2298-2314, 1998.
  15. Costura, D. M., Lawless, P. B., and Frankel, S. H., “A Computational Model for the Study of Gas Turbine Combustor Dynamics”, Journal of Engineering Gas Turbines and Power, 121, pp. 243-248, April 1999.
  16. DesJardin, P. E. and Frankel, S. H., “Two-Dimensional Large Eddy Simulation of Soot Formation in the Near-Field of a Strongly Radiating Nonpremixed Acetylene-Air Turbulent Jet Flame”, Combustion and Flame, 119,(1/2), pp. 121-132, 1999.
  17. Zhao, W., Frankel, S. H., and Mongeau, L., “Effect of Trailing Jet Instability on Vortex Ring Formation”, Physics of Fluids, 12, (3), pp. 589-596, March 2000.
  18. Glaze, D. J. and Frankel, S. H., “Effect of Dispersion Characteristics on Particle Temperature in a Nonpremixed Reacting Jet”, International Journal of Multiphase Flow, 26, pp. 609-633, 2000.
  19. Zhao, W., Frankel, S. H., and Mongeau, L., “Effect of Spatial Filtering on Sound Radiation from a Subsonic Axisymmetric Jet”, AIAA (American Institute of Aeronautics and Astronautics) Journal, 38, (11), pp. 2032-2039, 2000.
  20. Zhao, W., Frankel, S. H., and Mongeau, L., “Large Eddy Simulations of Sound Radiation from Subsonic Turbulent Jets”, AIAA Journal, 39, (8), pp. 1469-1477, 2001.
  21. Zhao, W. and Frankel, S. H., “Numerical Simulations of Sound Radiation from Axisymmetric Premixed Flames”, Physics of Fluids, 13, (9), pp. 2671-2681, 2001.
  22. Zhao, W., Frankel, S. H., and Mongeau, L., “Numerical Simulations of Sound from Confined Pulsating Axisymmetric Jets”, AIAA Journal, 39, (10), pp. 1868-1874, 2001.
  23. Xing, T., and Frankel, S. H., “Effect of Cavitation on Vortex Dynamics in a Submerged Laminar Jet”, AIAA Journal, 40, (11), pp. 2266-2276, 2002.
  24. Zhao, W., Zhang, C., Frankel, S. H., and Mongeau, L., “Computational Aeroacoustics of Phonation, Part I: Numerical Methods, Acoustic Analogy Validation, and Effects of Glottal Geometry”, Journal of Acoustical Society of America, 112, (5), pp. 2134-2146, 2002.
  25. Zhang, C., Zhao, W., Frankel, S. H., and Mongeau, L., “Computational Aeroacoustics of Phonation, Part II: Effects of Subglottal Pressure, Glottal Oscillation Frequency, and Ventricular Folds”, Journal of Acoustical Society of America, 112, (5), pp. 2147-2154, 2002.
  26. Zhang, Z., Mongeau, L., and Frankel, S. H., “Experimental Verification of the Quasi-Steady Assumption for Aerodynamic Sound Generation by Pulsating Jets in Tubes”, Journal of Acoustical Society of America, 112, (4), pp. 1652-1663, 2002
  27. Zhang, Z., Mongeau, L., and Frankel, S. H., “Broadband Sound Generation by Confined Turbulent Jets”, Journal of Acoustical Society of America, 112, (2), pp. 677-689, 2002.
  28. Singh, K., Frankel, S. H., and Gore, J. P., “Effects of Combustion on the Sound Pressure Generated by Circular Jet Flows,” AIAA Journal, 41, (2), pp. 319-321, 2003.
  29. Glaze, D. and Frankel, S. H., “Stochastic Inlet Conditions for Large Eddy Simulation of a Fully Turbulent Jet”, AIAA Journal, 41, (6), pp. 1064-1073, 2003.
  30. Varghese, S. S. and Frankel, S. H., “Numerical Modeling of Pulsatile Turbulent Flow in Stenotic Vessels”, Journal of Biomechanical Eng., 125, (4), pp. 445-460, 2003.
  31. Singh, K. K., Frankel, S. H., and Gore, J. P., “Study of Spectral Noise Emissions from Standard Turbulent Nonpremixed Flames,” AIAA Journal, 42, (5), pp. 931-936, 2004.
  32. Zhang, Z., Mongeau, L., Frankel, S. H., Thomson, S., Park, J., “Sound Generation by Steady Flow through Glottis-Shaped Orifices”, Journal of Acoustical Society of America, Journal of Acoustical Society of America,116, (3), pp. 1720-1728, 2004.
  33. Li, G., Frankel, S. H., Braun, J. E., and Groll, E. A., “Application of CFD Models to Two-Phase Flow in Refrigerant Distributors”, International Journal of Heating, Ventilating, Air-Conditioning and Refrigeration Research, 11, (1), pp. 45-62, 2005.
  34. Xing, T., Li. Z., and Frankel, S. H., “Numerical Simulation of Vortex Cavitation in a Three Dimensional Submerged Transitional Jet”, Journal of Fluids Engineering, 127, (4), pp. 714-725, 2005.
  35. Thomson, S. L., Mongeau, L., and Frankel, S. H., “Aerodynamic Transfer of Energy to the Vocal Folds,” Journal of Acoustical Society of America, 118, (3), pp. 1689-1700, 2005.
  36. Suh, J., Frankel, S. H., Mongeau, L., and Plesniak, M. W., “Compressible Large Eddy Simulation of Wall-Bounded Turbulent Flows Using a Semi-Implicit Numerical Scheme for Low Mach Number Aeroacoustics”, Journal of Computational Physics, 215, pp. 526-551, 2006.
  37. Singh, K. P., Mongeau, L., Frankel, S. H., and Gore, J., “Effect of Co- and Counter-Swirl on Noise Emission from Swirling Non-reacting Flows and Flames”, AIAA Journal, 45(3), pp. 651-661, 2007.
  38. Thomson, S. L., Mongeau, L., and Frankel, S. H., “Flow over a Membrane-Covered, Fluid-Filled Cavity”, Computers and Structures, 85, pp. 1012-1019, 2007.
  39. Varghese, S. S., Frankel, S. H., and Fischer, P. F., “Direct Numerical Simulation of Stenotic Flows, Part I: Steady Flow”, Journal of Fluid Mechanics, 582, 253-280, 2007.
  40. Varghese, S. S., Frankel, S. H., and Fischer, P. F., “Direct Numerical Simulation of Stenotic Flows, Part II: Pulsatile Flow”, Journal of Fluid Mechanics, 582, 281-318, 2007.
  41. Chandy, A., Glaze, D. J., and Frankel, S. H., “Parallelizing the Discrete Ordinates Method (DOM) for Three-Dimensional Radiative Heat Transfer Calculations Using a Priority Queuing Technique”, Numerical Heat Transfer, Part B: Fundamentals, 52, 33-49, 2007.
  42. Suh, J. and Frankel, S. H., “Numerical Simulation of Turbulence Transition and Sound Radiation of Flow through a Rigid Glottal Model”, Journal of Acoustical Society of America, 121(6), 3728-3739, 2007.
  43. Throckmorton, A. L., Myers, C. D., Ballman, K. K., Frankel, S. H., Litwak, K., Rodefeld, M. D., “Mechanical Cavopulmonary Assist for the Univentricular Fontan Circulation using a Novel Folding Propeller Blood Pump”, ASAIO J., 53, 734-741, 2007.
  44. Varghese, S., Frankel, S. H., and Fischer, P., “Modeling Transition to Turbulence in Eccentric Stenotic Flows”, Journal of Biomechanical Engineering, 130(1), 7 pages, 2008.
  45. Suh, J. and Frankel, S. H., “Comparing Turbulence Models for Flow through Rigid Glottal Model”, Journal of Acoustical Society of America, 123(3), 1237-1240, 2008.
  46. Throckmorton A, Ballman K, Myers CD, Frankel SH, Brown JW, Rodefeld MD. Performance of a 3-bladed Propeller Pump to Provide Cavopulmonary Assist in the Failing Fontan Circulation, Ann. Thorac. Surg., 86, 1343-1347, 2008.
  47. Chandy, A., Glaze, D. J., Frankel, S. H., “A Hybrid LES/Filtered Mass Density Function Approach for the Calculation of Strongly Radiating Turbulent Flames”, J. of Heat Transfer, 131(5), 9 pages, 2009.
  48. Chandy, A. and Frankel, S. H., “Regularization-based Subgrid-Scale (SGS) Models for Large Eddy Simulation (LES) of High-Re Decaying Isotropic Turbulence”, J. of Turbulence, 10(25), 1-22, 2009.
  49. Chandy, A. and Frankel, S. H., “The t-model as a Large Eddy Simulation Model for the Navier-Stokes Equations”, Multiscale Modeling and Simulation, 8(2), pp. 445-462, 2009.
  50. Shetty, D., Chandy, A., and Frankel, S. H., “A new fractal IEM mixing model for LES/FMDF applied to a multi-scalar three-stream turbulent jet”, Phys. Fluids, 22, 025102, 2010.
  51. Shetty, D., Shen, J., Chandy, A. J., Frankel, S. H., “A Pressure Correction Scheme for Rotational Navier-Stokes Equations and its Application to Rotating Turbulent Flows”, Comm. Comp. Phys., Special Issue for David Gottlieb, 9, pp. 740-755, 2010.
  52. Dittakavi, N., Chunekar, A., and Frankel, S. H.,“Large Eddy Simulation of Turbulent-Cavitation Interactions in a Venturi Nozzle’’, J. Fluids Eng., 132(12), 2010.
  53. Rodefeld, M. D., Coats, B., Fisher, T., Giridharan, G. A., Chen, J., Brown, J. W., and Frankel, S. H., “Cavopulmonary Assist for Univentricular Fontan Circulation: von Karman Viscous Impeller Pump (VIP)”, J. Thoracic and Cardiovascular Surgery, 140(3), pp. 529-536, 2010.
  54. Shetty, D., Fisher, T., Chunekar, A., and Frankel, S. H., “High-Order Incompressible Large Eddy Simulation of Fully Inhomogeneous Turbulent Flows”, Journal of  Computational Physics, 229(23), pp. 8802-8822, 2010.
  55. Chandy, A. and Frankel, S. H., “Leray-alpha LES of Magnetohdyrodynamic Turbulence at Low Magnetic Reynolds Number”, Journal of Turbulence, 12(17),  2011.
  56. Fisher, T. C., Carpenter, M. H., Yamaleev, N., and Frankel, S. H., “Boundary Closures for Fourth-Order Energy Stable Weighted Essentially Non-Oscillatory Finite Difference Schemes”, Journal of Computational Physics,230, pp. 3727-3752, 2011.
  57. Kennington, J. R., Frankel, S. H., Chen, Jun, Koenig, S. C., Sobeiski, M. A., Giridhiran, G. A., Rodefeld, M. D.,“Design Optimization and Performance Studies of an Adult Scale Viscous Impeller Pump for Powered Fontan in an Idealized Total Cavopulmonary Connection”, Cardiovascular Engineering and Technology, 2(4), pp. 237-243, 2011.
  58. Cao, Y., Daskin, A., Frankel, S. H., and Kais, S., “Quantum Circuit Design for Solving Linear Systems of Equations”, Molecular Physics, 110 (15-16), pp. 1675-1680, 2012.
  59. Giridharan G. A., Koenig, S. C., Kennington, J., Sobieski, M. A., Chen, J., Frankel, S. H., and Rodefeld, M. D., “Performance Evaluation of a Pediatric Viscous Impeller Pump for Fontan Cavopulmonary Assist”, J. Thoracic and Cardiovascular Surgery, 145(1), pp. 249-254, 2013.
  60. Ghaisas, N., Shetty, D., and Frankel, S. H., “Large Eddy Simulation of Thermal Driven Cavity: Evaluation of Sub-grid Scale Models and Flow Physics”, International Journal of Heat and Mass Transfer, 56 (1-2), pp. 606-624, 2013.
  61. Delorme, Y., Anupindi, K., Kerlo, A. E., Shetty, D., Rodefeld, M., Chen, J., and Frankel, S. H., “Large Eddy Simulation of Powered Fontan Hemodynamics”, J. Biomechanics, 46(2), pp. 408-422, 2013.
  62. Shetty, D. A. and Frankel, S. H., “Assessment of Stretched Vortex Subgrid-Scale Models for LES of Incompressible Inhomogeneous Turbulent Flow”, Int. J. Numer. Meth. Fluids, 73(2), pp. 152-171, 2013.
  63. Kerlo, A. M., Delorme, Y. T., Xu, D., Frankel, S. H., Giridharan, G. A., Rodefeld, M. D., and Chen, J., “Experimental Characterization of Powered Fontan Hemodynamics in an Idealized Total Cavopulmonary Connection Model”, Exps. Fluids, 54:1581, 2013.
  64. Delorme, Y. T., Anupindi, K., and Frankel, S. H., “Large Eddy Simulation of FDA’s Idealized Medical Device”, Cardiovascular Engineering and Technology, 4(4), pp. 392-407, 2013.
  65. Giridharan, G. A., Ising, M., Sobieski, M. A., Koenig, S. C., Chen, J., Frankel, S. H., Rodefeld, M. D..“Cavopulmonary assist for the failing Fontan circulation: Impact of ventricular function on mechanical support strategy”, ASAIO J., accepted for publication, 2014.
  66. Anupindi, K., Delorme, Y., Shetty, D., and Frankel, S. H., “A Novel Multiblock Immersed Boundary Method for Complex Arterial Hydrodynamics”, J. Comput. Phys., 254, pp. 200-218, 2013.
  67. Anupindi, K., Lai, W., and Frankel, S. H., “Characterization of oscillatory instability in lid driven cavity flows using lattice Boltzmann method”, 92, pp. 7-21, Computers and Fluids, 2014.
  68. Ghaisas, N. and Frankel, S. H., “A priori evaluation of large eddy simulation subgrid-  scale scalar flux models in isotropic passive-scalar and anisotropic buoyancy-driven homogeneous turbulence”, 15(2), J. of Turbulence, 2014.
  69. Pal, A., Anupindi, K., Delorme, Y., Ghaisas, N., Shetty, D. A., and Frankel, S. H., “Large eddy simulation of transitional flow in a stenotic blood vessel: Evaluation of subgrid-scale models”, J. Biomechanical Engineering, in press, 2014.
  70. Delorme, Y., Kerlo, A., Anupindi, K., Rodefeld, M. D., and Frankel, S. H., “Dynamic Mode Decomposition of Fontan Hemodynamics in an Idealized Total Cavopulmonary Connection”, Fluid Dyn. Res., 46 (04125), 2014.
  71. Chandra, R., Jacobson, N. T., Moussa, J. E., Frankel, S. H., and Kais, S., “Quadratic constrained mixed discrete optimization with an adiabatic quantum optimizer”, accepted for publication, Physical Review A., 90 (012308), 2014.
  72. Carpenter, M. H., Fisher, T. C., Nielsen, E., and Frankel, S. H., “Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces, SIAM J. Sci. Comput., 36(5), B835–B867, 2014.
  73. Ghaisas, N., Shetty, D., and Frankel, S. H. “Large Eddy Simulation of Turbulent Horizontal Buoyant Jets”, J. of Turbulence, 16, No. 8, 772-808, 2015.
  74. Ghaisas, N. and Frankel, S. H. “Dynamic Gradient models for the sub-grid scale stress tensor and scalar flux vector in large eddy simulation”, J. of Turbulence, 17:1, 30-50, 2016.
  75. Li, Q., Delorme, Y., and Frankel, S. H., “Parametric Numerical Study of Electrokinetic Instability in Cross-shaped Microchannels”, Microfluidics and Nanofluidics, 20(2):29, 2016.
  76. Delorme, Y., Puri, K., Nordstrom, J., Linders, V., Dong, S., and Frankel, S. H., “A Simple and Efficient Incompressible Navier-Stokes Solver for Unsteady Complex Geometry Flows on Truncated Domains”, submitted for publication, 2016.