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List of Publications

Dr. Edward Della Torre Dr. Catherine Mavriplis

Research and Speciality areas include:
    [Generally: fluid mechanics, heat transfer, energy, aerodynamics, computational techniques, numerical analysis and applied mathematics]

  • High accuracy methods for direct simulation of incompressible flows
  • Adaptive spectral element algorithms
  • Parallel implementation of spectral element algorithms
  • Understanding transition to turbulence and viscous-dominated flows
  • Simulations of steady and flickering diffusion flames
  • Monte Carlo and spectral element simulations of flow and heat transfer in MEMS
  • Tomography for turbulent flames
  • Flows in intracranial aneurysms
  • CFD of Pressure-Exchange Ejector for Refrigeration
  • Women in Engineering and Science

  1. C. Mavriplis and L.-C. Hsu, ``A Two-Dimensional Adaptive Spectral Element Method'', Proceedings of the 13th AIAA Computational Fluid Dynamics Conference, Snowmass, June 1997
  2. J.C. Ahn, C. Mavriplis and R. Goulard, ``Heat Transfer and Flow Fields in Microchannels Using the DSMC Simulation Method'', AIAA Journal of Thermophysics, in press
  3. L.-C. Hsu and C. Mavriplis, ``Adaptive Meshes for the Spectral Element Method'', Proceedings of the 9th Domain Decomposition Methods Conference, Wiley, 1997
  4. U. Becker-Lemgau and C. Mavriplis, ``Spectral Element Simulations of Laminar Diffusion Flames'', Proceedings of the 9th Domain Decomposition Methods Conference, Wiley, 1997
  5. M. J. Cusack, J. G. Prehn and C. Mavriplis, ``Aerodynamic Design of the George Washington University Solar Car'', International Journal of Vehicle Design, 18, 2, pp. 213-232, 1997.
  6. P. Vallikul, R. Goulard and C. Mavriplis, ``Tomographic Reconstruction of Probability Density Functions in Turbulent Flames'', INTERFLAM '96, March 1996.
  7. A. E. Deane and C. Mavriplis, ``Low-Dimensional Description of the Dynamics in Separated Flow Past Thick Airfoils'', AIAA Journal, 32, 6, pp. 1222-1227, 1994.
  8. C. Mavriplis, ``Adaptive Mesh Strategies for the Spectral Element Method'', Computer Methods in Applied Mechanics and Engineering, 116, pp. 77-86, 1994.
  9. C. Mavriplis and J. Van Rosendale, ``Triangular Spectral Elements for Incompressible Fluid Flow'', AIAA Paper 93-3346, July 1993
  10. C. Mavriplis, ``A Posteriori Error Estimators for Adaptive Spectral Element Techniques'', Notes on Numerical Methods in Fluid Mechanics, 29, pp. 333, Vieweg, 1990.
  11. P. F. Fischer, G. E. Karniadakis and C. Mavriplis, ``Direct Numerical Simulations of the Impulsive Flow Past a Wedge-Like Corner'', Proceedings of the Tenth Australian Fluid Mechanics Conference, 1989.
  12. C. Mavriplis and P. F. Fischer, ``Spectral Element Techniques for the Incompressible Navier-Stokes Equations'', Proceedings of the First Canadian Symposium on Aerodynamics, 1989.
  13. G. Anagnostou, Y. Maday, C. Mavriplis and A.T. Patera, ``On the Mortar Element Method: Generalizations and Implementation'', in Third International Symposium on Domain Decomposition Methods, pp. 157, SIAM, 1989.
  14. C. Bernardi, Y. Maday, C. Mavriplis and A. T. Patera, ``The Mortar Element Method Applied to Spectral Discretizations'', Proceedings of the Seventh International Conference on Finite Element Methods in Flow Problems, Huntsville, 1989.
  15. Y. Maday, C. Mavriplis and A. T. Patera, ``Non-Conforming Mortar Element Methods: Application to Spectral Discretizations", in Domain Decomposition Methods, pp. 392, SIAM, 1989, also ICASE Report 88-59.
  16. C. Mavriplis, ``Laguerre Polynomials for Infinite-Domain Spectral Elements", Journal of Computational Physics, 80, 2, pp. 480, 1989.
  17. C. Mavriplis and W. L. Harris, ``A Spectral Hodograph Method for Shockless Transonic Two-Dimensional Flow", AIAA Paper 86-1796, 1986.
  18. P. Hanley, C. Mavriplis and W. L. Harris, ``Solutions of the Transonic Flow Equations by Spectral Methods", Proceedings of the Fourth Army Conference on Applied Mathematics and Computing, 1986.

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