
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 viscousdominated
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 PressureExchange Ejector for Refrigeration
 Women in Engineering and Science
papers

Papers 
 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, in press
 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.
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