Further refinement and bench marking of a single-grid error estimation technique

41st Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2003, Pages

  Celik, Ismail ^a   Hu, Gusheng ^a   Badeau Jr , Allen ^a  

^a West Virginia University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; COMPUTATIONAL FLUID DYNAMICS;

COMPUTATIONAL FLUID DYNAMICS SIMULATIONS; CONSERVATION EQUATIONS; DISCRETIZATION ERRORS; DYNAMIC ALGORITHM; ERROR TRANSPORT EQUATION; ESTIMATION TECHNIQUES; FINITE VOLUME APPROACH; RICHARDSON EXTRAPOLATION;

ERRORS;

EID: 85087594868     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2003-628     Document Type: Conference Paper

References (19)

1. Anderson, D., Tannehill, J., and Pletcher, R. (1984) "Computational Fluid Mechanics and Heat Transfer, " Hemisphere, McGraw-Hill.
2. Celik, I., Badeau, A. Jr. (2003), "A Transient 3-D Navier-Stokes Solver Based on Easy CFD Concepts: DREAM Code, " Mechanical & Aerospace Engineering Department, West Virginia University, Report No. MAE_03_IC_01. In preparation.
3. Celik, I., Chen, C. J., Roache, P. J. and Scheurer, G. Editors. (1993), "Quantification of Uncertainty in Computational Fluid Dynamics, " ASME Publ. No. FED-Vol. 158, ASME Fluids Engineering Division Summer Meeting, Washington, DC, 20-24 June.
4. Celik, I., Hu, G. (2002) "Discretization Error Estimation Using Error Transport Equation, " Proceedings of ASME FEDSM'02, paper No. 31372, Montreal, Canada, July 14-18.
5. Celik, I., Karatekin, O. (1997), "Numerical Experiments on Application of Richardson Extrapolation With Nonuniform Grids, " ASME Journal of Fluid Engineering, Vol. 119, pp. 584-590.
6. Celik, I. And Zhang, W-M (1993) "Applicaton of Richardson Extrapolation to Some Simple Turbulent Flow Calculations, " Proceedings of the Symposium on "Quantification of Uncertainty in Computational Fluid Dynamics, " Editors: I. Celik et al. ASME Fluids Engineering Division Spring Meeting, Washington, C. C., June 20-24, pp. 29-38.
7. Eca, L. and Hoekstra, M. (2002), "An Evaluation of Verification Procedures for CFD Applications, " 24th Symposium on Naval Hydrodynamics, Fukuoka, Japan, 8-13 July.
8. Hu, G., (2002) "Uncertainty Assessment for CFD Using Error Transport Equation, " Master Thesis, Mechanical & Aerospace Engineering Department, West Virginia University, May.
9. Lock, R. C. (1950) "The Velocity Distribution in the Laminar Boundary Layer Between Parallel Streams, " Journal of Fluid Mechanics, pp. 43-63.
10. Madsen, N., and Sincovec R. (1976) "General Software for Partial Differential Equations, " in "Numerical Methods for Differential Systems: Recent Developments in Algorithm, Software, and Applications, " Editor: Lapidus, L., Schiesser, W.
11. Richardson, L. F. (1910) "The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations, with an Application to the Stresses In a Masonary Dam, " Transactions of the Royal Society of London, Ser. A, Vol. 210, pp. 307-357.
12. Richardson L. F. and Gaunt, J. A. (1927) "The Deferred Approach to the Limit, " Philos. Trans. R. Soc. London Ser. A, Vol. 226, pp. 299-361.
13. Roache, P. J., (1993) "A Method for Uniform Reporting of Grid Refinement Studies, " Proc. Of Quantification of Uncertainty in Computation Fluid dynamics, Edited by Celik, et al., ASME Fluids Engineering Division Spring Meeting, Washington D. C., June 230-240, ASME Publ. No. FED-Vol. 158.
14. Roache, P. J. (1998), "Verification and Validation in Computational Science and Engineering, " Hermosa Publishers, Albuquerque.
15. Stern, F., Wilson, R. V., Coleman, H. W., and Paterson, E. G. (2001), "Comprehensive Approach to Verification and Validation of CFD Simulations-Part 1: Methodology and Procedures, " ASME Journal of Fluids Engineering, Vol. 123, pp. 793-802, December.
16. Van Straalen, B. P., Simpson, R. B., and Stubley, G. D. (1995) "A Posteriori Error Estimation for FiniteVolume Simulations of Fluid Flow Transport, " Proceedings of the Third Annual Conference of the CFD Societyof Canada, Vol. I, Banff, Alberta, 25-27 June, P. A. Thibault and D. M. Bergeron, Eds.
17. Wilson, R. V., Stern, F. (2002) "Verification and Validation for RANS Simulation of a Naval Surface Combatant, " American Institute of Aeronautics & Astronautics (AIAA) 2000-0904, 40th Aerospace Sciences Meeting & Exhibit January 14-17.
18. Zhang, Z., Trepanier, Camarero (1997) "An a posteriori error estimation method based on an error equation, " Proceedings of the AIAA 13th Computational Fluid, pp. 383-397.
19. Zhang, Z., Pelletier, D., Trepanier, J. Y., Camarero, R. (2000) "Verification of error estimators for the Euler Equations, " 38th AIAA Aerospace Sciences Meeting and Exhibit, AIAA-2000-1001.