On the generation of exact solutions using the method of nearby problems

43rd AIAA Aerospace Sciences Meeting and Exhibit - Meeting Papers

Volumn , Issue , 2005, Pages 13593-13604

  Raju, Anil ^a,c,d   Roy, Christopher J ^a,c,d   Hopkins, Matthew M ^b,e  

^a AUBURN UNIVERSITY   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

^c Aerospace Engineering Department   (United States)

^d AIAA   (United States)

^e MS 0834   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BURGERS EQUATION; LEGENDRE POLYNOMIALS; NEARBY PROBLEMS; VISCOUS SHOCK WAVES;

APPROXIMATION THEORY; POLYNOMIALS; REYNOLDS NUMBER; SHOCK WAVES; STEADY FLOW; UNSTEADY FLOW; VISCOUS FLOW;

AERODYNAMICS;

EID: 30744443488     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

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3. Roy, C. J., Smith, T. M., and Ober, C. C., "Verification of a Compressible CFD Code using the Method of Manufactured Solutions," AIAA Paper 2002-3110, 2002.
4. Lee, S., and Junkins, J. L., "Construction of Benchmark Problems for Solution of Ordinary Differential Equations," Journal of Shock and Vibration, Vol. 1, No. 5, 1994, pp. 403-414.
5. Junkins, J. L., and Lee, S., "Validation of Finite-Dimensional Approximate Solutions for Dynamics of Distributed-Parameter Systems," Journal of Guidance, Control, and Dynamics, Vol. 18, No.l, 1995, pp. 87-95.
6. Roy, C. J., and Hopkins, M. M., "Discretization Error Estimates using Exact Solutions to Nearby Problems," AIAA Paper 2003-0629, January 2003.
7. Hopkins, M. M., and Roy, C. J., "Introducing the Method of Nearby Problems," European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, P. Neittaanmaki, T. Rossi, S. Korotov, E. Onate, J. Periaux, and D. Knorzer (eds.), July 24-28, 2004.
8. Benton, E. R., and Platzman, G. W., "A Table of Solutions of the One-Dimensional Burger's Equation," Q. Appl Math. Vol. 30. pp. 195-212, 1972.
9. Anderson, J. D., Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, New York, 1995.