Estimation of numerical error for 3D inviscid flows on cartesian grids

Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting

Volumn 2, Issue , 2007, Pages 1169-1181

  Roy, Christopher J ^a,b   Heintzelman, Carmen ^a,b   Roberts, Samantha J ^a,b  

^a AUBURN UNIVERSITY   (United States)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CARTESIAN GRIDS; DISCRETIZATION ERROR; ITERATIVE ERROR; RICHARDSON EXTRAPOLATION;

COMPUTATIONAL FLUID DYNAMICS; DRAG; ERROR ANALYSIS; EXTRAPOLATION;

FLOW OF FLUIDS;

EID: 34250877912     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

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2. Roy, C. J., "Review of Code and Solution Verification Procedures in Computational Simulation," Journal of Computational Physics, Vol. 205, No. 1, 2005, pp. 131-156.
3. Roy, C. J., Nelson, C. C., Smith, T. M., and Ober, C. C., "Verification of Euler / Navier-Stokes Codes using the Method of Manufactured Solutions," International Journal for Numerical Methods in Fluids, Vol. 44, No. 6, 2004, pp. 599-620.
4. Roy, C. J. and Blottner, F. G., "Methodology for Turbulence Model Validation: Application to Hypersonic Transitional Flows," Journal of Spacecraft and Rockets, Vol. 40, No. 3, May-June 2003, pp. 313-325
5. Richardson, L. F., "The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations with an Application to the Stresses in a Masonry Dam," Transactions of the Royal Society of London, Ser. A 210, 1910, p. 307-357.
6. Roy, C. J., Raju, A., and Hopkins, M. M., "The Method of Nearby Problems: A New Approach for Estimating Discretization Error," manuscript submitted to the AIAA Journal, March 2006
7. (see also Raju, A., Roy, C. J., and Hopkins, M. M., "Evaluation of Discretization Error Estimators using the Method of Nearby Problems," AIAA Paper 2005-4993, 17th AIAA CFD Conference, Toronto, Ontario, Canada, June 2005).
8. Venditti, D. A., and Darmofal, D. L., "Grid Adaptation for Functional Outputs: Application to Two-Dimensional Inviscid Flows," Journal of Computational Physics, Vol. 176, No. 1, 2002, pp. 40-69.
9. Roy, C. J. and Blottner, F. G., "Assessment of One- and Two-Equation Turbulence Models for Hypersonic Transitional Flows," Journal of Spacecraft and Rockets, Vol. 38, No. 5, Sept.-Oct. 2001, pp. 699-710.
10. Ferziger, J. H. and Peric, M., "Further Discussion of Numerical Errors in CFD," International Journal for Numerical Methods in Fluids, Vol. 23, No. 12, 1996, pp. 1263-1274.
11. Tecplot User's Manual Version 10. Amtec Engineering, Inc., Bellevue, Washington, September 2003.