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.
EMail: 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

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 viscousdominated flows

Simulations of steady and flickering diffusion flames
see Center for the Study of Combustion
and the Environment

Monte Carlo and spectral element simulations of flow and heat transfer
in MEMS
see Institute
for MEMS and VLSI

Tomography for turbulent flames

Flows in intracranial aneurysms

CFD of PressureExchange Ejector for Refrigeration
see GW
PressureExchange Ejector Project

Women in Engineering and Science
see NSF
FORWARD in SEM Project
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

H. Feng and C. Mavriplis, "Adaptive Spectral Element Simulations of Thin
Flame Sheet Deformations", Journal of Scientific Computing, 17, 13 (September
2002)

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.

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, pp121132 Feb 2001, Elsevier Sciences.

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.

Trouve, A., Mavriplis, C. and Miller, J. H. (2001) "Unsteady flamelet effects
on NO formation in laminar methaneair jet diffusion flames", Proceedings
of the 2nd Joint Meeting of the US Sections of the Combustion Institute,
March 2001, Oakland, CA.

Comparison of Experimental and Spectral Element Flamelet Results for a
Laminar MethaneAir 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.

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.

A Walk on the Moon: An Interdisciplinary InquiryBased Course, Proceedings
of the WEPAN 2000 National Conference, June 2000.

FirstYear 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.

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

C. A. Garris, W. J. Hong, C. Mavriplis and J. D. Shipman, An Experimental
and Numerical Study of the PressureExchange Ejector, Paper No. FEDSM985123,
Forum on Fluid Machinery, 1998 ASME Fluids Engineering Division Summer
Meeting, Washington, DC.

C. A. Garris, W. J. Hong, C. Mavriplis and J. D. Shipman, An Environmentally
Friendly PressureExchange Ejector Refrigeration System, Paper No. FEDSM984812,
Forum on Industrial and Environmental Applications of Fluid Mechanics,
1998 ASME Fluids Engineering Division Summer Meeting, Washington, DC.

C. A. Garris, W. J. Hong, C. Mavriplis and J. D. Shipman, A New Thermally
Driven Refrigeration System with Environmental Benefits, Paper No.IECEC98088,
33rd Intersociety Engineering Conference on Energy Conversion, Colorado
Springs, CO, 1998.

C. Mavriplis and L.C. Hsu, ``A TwoDimensional Adaptive Spectral Element
Method'', Proceedings of the 13th AIAA Computational Fluid Dynamics Conference,
Snowmass, June 1997

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.489496, 1997.

L.C. Hsu and C. Mavriplis, ``Adaptive Meshes for the Spectral Element
Method'', Proceedings of the 9th Domain Decomposition Methods Conference,
Wiley, 1997

U. BeckerLemgau and C. Mavriplis, ``Spectral Element Simulations of Laminar
Diffusion Flames'', Proceedings of the 9th Domain Decomposition Methods
Conference, Wiley, 1997

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. 213232, 1997.

P. Vallikul, R. Goulard and C. Mavriplis, ``Tomographic Reconstruction
of Probability Density Functions in Turbulent Flames'', INTERFLAM '96,
March 1996.

A. E. Deane and C. Mavriplis, ``LowDimensional Description of the Dynamics
in Separated Flow Past Thick Airfoils'', AIAA Journal, 32, 6, pp. 12221227,
1994.

C. Mavriplis, ``Adaptive Mesh Strategies for the Spectral Element Method'',
Computer Methods in Applied Mechanics and Engineering, 116, pp. 7786,
1994.

C. Mavriplis and J. Van Rosendale, ``Triangular Spectral Elements for Incompressible
Fluid Flow'', AIAA Paper 933346, July 1993

C. Mavriplis, ``A Posteriori Error Estimators for Adaptive Spectral Element
Techniques'', Notes on Numerical Methods in Fluid Mechanics, 29, pp. 333,
Vieweg, 1990.

P. F. Fischer, G. E. Karniadakis and C. Mavriplis, ``Direct Numerical Simulations
of the Impulsive Flow Past a WedgeLike Corner'', Proceedings of the Tenth
Australian Fluid Mechanics Conference, 1989.

C. Mavriplis and P. F. Fischer, ``Spectral Element Techniques for the Incompressible
NavierStokes Equations'', Proceedings of the First Canadian Symposium
on Aerodynamics, 1989.

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.

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.

Y. Maday, C. Mavriplis and A. T. Patera, ``NonConforming Mortar Element
Methods: Application to Spectral Discretizations", in Domain Decomposition
Methods, pp. 392, SIAM, 1989, also ICASE Report 8859.

C. Mavriplis, ``Laguerre Polynomials for InfiniteDomain Spectral Elements",
Journal of Computational Physics, 80, 2, pp. 480, 1989.

C. Mavriplis and W. L. Harris, ``A Spectral Hodograph Method for Shockless
Transonic TwoDimensional Flow", AIAA Paper 861796, 1986.

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

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

....


