Department of Mechanical and Aerospace Engineering
School of Engineering and Applied Science
The George Washington University
Catherine Mavriplis
Associate Professor, PhD, PE
Prof. Mavriplis has moved to the University of Oklahoma.
       
    She remains an adjunct professor at GW where she teaches Applied Science 113 by distance education.
   
E-Mail: mavripli@gwu.edu

  • Please contact the MAE department for academic matters.
  • For ADVANCE, please contact Shelly Heller sheller@gwu.edu

Education

B.Eng. 1983, McGill University, Canada.
S.M. 1986, Ph.D. 1989, Massachusetts Institute of Technology.

Research & Speciality Areas

Biography

Undergraduate studies in Mechanical Engineering at McGill University in Montreal and Master's and Ph.D. in Aeronautics and Astronautics at MIT in Boston. Thesis advisors were Rabi Baliga (Bachelor's), Wes Harris (Master's), and Tony Patera (Ph.D.), though Yvon Maday was also heavily involved for the Ph.D. Postdoc' with Steve Orszag at Princeton University in the Program in Applied and Computational Mathematics and the Department of Mechanical and Aerospace Engineering . Prof. Mavriplis has been with The George Washington University since August 1991. She has also been a visiting scientist at ICASE and at CERCA and a Program Director in the Division of Mathematical Sciences at the National Science Foundation. She is currently a Research Scientist at the University of Oklahoma and the NOAA National Severe Storms Laboratory in Norman, Oklahoma.

Course Director/Instructor

Undergraduate
 
ApSc 113
ME 117
ME 131
ME 126
ME 187
ME 720
 
Differential Equations
Numerical Methods
Thermodynamics
Fluid Mechanics I
Heat Transfer 
Interdisciplinary Science and Engineering Seminar: A Walk 
on the Moon (click on Seminar)

Graduate
 
ApSc 212
MAE 221
MAE 225
MAE 222
MAE 352
ME720
 
Linear Algebra
Intermediate Fluid Mechanics
Computational Fluid Dynamics
Applied Aerodynamics
Turbulence
Interdisciplinary Science and Engineering Seminar: A Walk 
on the Moon (click on Seminar)

Selected Publications

  1. H. Feng and C. Mavriplis, "Adaptive Spectral Element Simulations of Thin Flame Sheet Deformations", Journal of Scientific Computing, 17, 1-3 (September 2002)
  2. FORWARD in SEM (Focus on Reaching Women for Academics, Research and Development in Science, Engineering and Mathematics), 2001, a 20 minute video on the FORWARD program, produced by GWTV (Cynthia Miller), available for national distribution. Email me if you would like to receive one.
  3. A. Rasmussen, C. Mavriplis, M. E. Zaghloul, O. Mikulchenko, and K. Mayaram,"Simulation and Optimization of Microfluidic Flow Sensor," the Journal of Sensors and Actuators A, Volume 88, Issue 2, pp121-132 Feb 2001, Elsevier Sciences.
  4. Feng, H. and Mavriplis, C., (2001) Spectral Element Simulations of Thin Premixed Flames Using Adaptive Meshes, Proceedings of the Second Joint Meeting of the US Sections of the Combustion Institute Meeting, Oakland, CA, March 2001.
  5. Trouve, A., Mavriplis, C. and Miller, J. H. (2001) "Unsteady flamelet effects on NO formation in laminar methane-air jet diffusion flames", Proceedings of the 2nd Joint Meeting of the US Sections of the Combustion Institute, March 2001, Oakland, CA.
  6. Comparison of Experimental and Spectral Element Flamelet Results for a Laminar Methane-Air Diffusion Flames, C. Mavriplis, A. Tangborn, A. Trouve, D.D. Myre, E.L. Wilson, J.H. Miller, 28th International Symposium of the Combustion Institute, poster/paper, 2000.
  7. A Spectral Element Flamelet Model for a Laminar Methane/Air Diffusion Flame, C. Mavriplis, A. Tangborn and A. Trouve Proceedings of CFD2K, Montreal, June 2000.
  8. A Walk on the Moon: An Interdisciplinary Inquiry-Based Course, Proceedings of the WEPAN 2000 National Conference, June 2000.
  9. First-Year Summer Research Opportunity for Graduate Women in Science and Engineering, C. Mavriplis, R.S. Heller, H.D. Snyder and C. C. Sorensen, Journal of Women and Minorities in Science and Engineering, under revision, 2000.
  10. H. Feng and C. Mavriplis, Parallel Implementation of the Spectral Element Method with Nonconforming Mesh, Eleventh International Conference on Domain Decomposition Methods, C.-H. Lai, P. E. Bjorstad, M. Cross and O. B. Widlund editors, 1999
  11. C. A. Garris, W. J. Hong, C. Mavriplis and J. D. Shipman, An Experimental and Numerical Study of the Pressure-Exchange Ejector, Paper No. FEDSM98-5123, Forum on Fluid Machinery, 1998 ASME Fluids Engineering Division Summer Meeting, Washington, DC.
  12. C. A. Garris, W. J. Hong, C. Mavriplis and J. D. Shipman, An Environmentally Friendly Pressure-Exchange Ejector Refrigeration System, Paper No. FEDSM98-4812, Forum on Industrial and Environmental Applications of Fluid Mechanics, 1998 ASME Fluids Engineering Division Summer Meeting, Washington, DC.
  13. C. A. Garris, W. J. Hong, C. Mavriplis and J. D. Shipman, A New Thermally Driven Refrigeration System with Environmental Benefits, Paper No.IECEC-98-088, 33rd Intersociety Engineering Conference on Energy Conversion, Colorado Springs, CO, 1998.
  14. 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
  15. J.C. Ahn, C. Mavriplis and R. Goulard, ``Heat Transfer and Flow Fields in Microchannels Using the DSMC Simulation Method'', AIAA Journal of Thermophysics and Heat Transfer, 11, 4, pp.489-496, 1997.
  16. L.-C. Hsu and C. Mavriplis, ``Adaptive Meshes for the Spectral Element Method'', Proceedings of the 9th Domain Decomposition Methods Conference, Wiley, 1997
  17. U. Becker-Lemgau and C. Mavriplis, ``Spectral Element Simulations of Laminar Diffusion Flames'', Proceedings of the 9th Domain Decomposition Methods Conference, Wiley, 1997
  18. 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.
  19. P. Vallikul, R. Goulard and C. Mavriplis, ``Tomographic Reconstruction of Probability Density Functions in Turbulent Flames'', INTERFLAM '96, March 1996.
  20. 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.
  21. C. Mavriplis, ``Adaptive Mesh Strategies for the Spectral Element Method'', Computer Methods in Applied Mechanics and Engineering, 116, pp. 77-86, 1994.
  22. C. Mavriplis and J. Van Rosendale, ``Triangular Spectral Elements for Incompressible Fluid Flow'', AIAA Paper 93-3346, July 1993
  23. C. Mavriplis, ``A Posteriori Error Estimators for Adaptive Spectral Element Techniques'', Notes on Numerical Methods in Fluid Mechanics, 29, pp. 333, Vieweg, 1990.
  24. 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.
  25. C. Mavriplis and P. F. Fischer, ``Spectral Element Techniques for the Incompressible Navier-Stokes Equations'', Proceedings of the First Canadian Symposium on Aerodynamics, 1989.
  26. 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.
  27. 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.
  28. 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.
  29. C. Mavriplis, ``Laguerre Polynomials for Infinite-Domain Spectral Elements", Journal of Computational Physics, 80, 2, pp. 480, 1989.
  30. C. Mavriplis and W. L. Harris, ``A Spectral Hodograph Method for Shockless Transonic Two-Dimensional Flow", AIAA Paper 86-1796, 1986.
  31. 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.
Selected Illustrations

 
  1. Laminar diffusion flame (right: experiments (OH fluorescence) (H. Miller and R. Skaggs), left: spectral element model (stoichiometric surface) (A.Tangborn and C. Mavriplis ))
  2. ....