A two-dimensional adaptive spectral element method

13th Computational Fluid Dynamics Conference

Volumn , Issue , 1997, Pages 227-235

  Mavriplis, C ^a   Hsu, L C ^a  

^a The George Washington University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; ERROR ANALYSIS; FLUID DYNAMICS; HEAT CONDUCTION; NAVIER STOKES EQUATIONS;

COMPLEX FLOW; NAVIER STOKES FLOW; PHYSICAL PHENOMENA; POSTERIORI ERROR ESTIMATOR; SPECTRAL ELEMENT METHOD;

NUMERICAL METHODS;

EID: 84983196123     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Patera, A. T., A Spectral Element Method for Fluid Dynamics: Laminar Flow in a Channel Expansion, Journal of Computational Physics, 54(3) =468-488, 1984.
2. Karniadakis, G. E., Spectral Element Simulations of Laminar and Turbulent Flows in Complex Geometries, Applied Numerical Mathematics, 6:85-105, 1989/90.
3. Fischer, P. P. and R0nquist, E. M., Spectral Element Methods for Large Scale Parallel Navier-Stokes Calculations, Computer Methods in Applied Mechanics and Engineering, 116:69-76, 1994.
4. Beskok, A., Karniadakis, G. E. and Trimmer, W., Rarefaction, Compressibility and Thermal Creep Effects in Micro-Flows, Proceedings of the ASME Dynamic Systems and Control Division, DSC-Vol. 57-2:877-892, 1995.
5. Van Dyke, M, An Album of Fluid Motion, Parabolic Press, Stanford, California, 1982.
6. Maday, Y., Mavriplis, C. and Patera, A. T., Nonconforming Mortar Element Methods: Application to Spectral Discretization, Domain Decomposition Methods, Chan, T. F. et al, editors, SIAM, Philadelphia, 1989.
7. Mavriplis, C., Adaptive Meshes for the Spectral Element Method, Computer Methods in Applied Mechanics and Engineering, 116: 77-86, 1994.
8. Orszag S. A. and Kells, L. C., Transition to Turbulence in Plane Poiseuille and Plane Couette Flow, Journal of Fluid Mechanics, 96:159-205, 1980.
9. Maday, Y. and Patera, A. T., Spectral Element Methods for the Navier-Stokes Equations, in State-of-the-Art Surveys in Computational Mechanics, Noor, A. K., editor, ASME, New York, 1988.
10. Mavriplis, C., Nonconforming Discretizations and A Posteriori Error Estimators for Adaptive Spectral Element Techniques, Massachusetts Institute of Technology, Ph. D. Thesis, 1989.
11. Mavriplis, C., A Posteriori Error Estimators for Adaptive Spectral Element Techniques, Notes on Numerical Fluid Mechanics, Wesseling, P., editor, 29:333-342, Vieweg, Braunschweig, 1990.
12. Bozeman, J. D. and Dalton, C., Journal of Computational Physics, 12:348, 1973.