Evaluation of numerical error estimation based on grid refinement studies with the method of the manufactured solutions

Computers and Fluids

Volumn 38, Issue 8, 2009, Pages 1580-1591

  Eca L ^a   Hoekstra, M ^b  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b MARIN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETIZATION; DISCRETIZATION ERRORS; EXACT SOLUTION; GRID REFINEMENT; ITERATIVE ERROR; MACHINE ACCURACY; NUMERICAL ERRORS; NUMERICAL SOLUTION; NUMERICAL UNCERTAINTY; RELIABLE ESTIMATES; THREE ORDERS OF MAGNITUDE;

APPROXIMATION THEORY; ERROR ANALYSIS; ESTIMATION; MESH GENERATION; SAFETY FACTOR;

CONVERGENCE OF NUMERICAL METHODS;

EID: 67349283643     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2009.01.003     Document Type: Article

References (32)

1. Guide for the verification and validation of computational fluid dynamics simulations, AIAA-G077-1998.
2. ERCOFTAC Special Interest Group on Quality and Trust in Industrial CFD. Best practice guidelines, version 1.0; January 2000.
3. Guide for the verification and validation in computational solid mechanics - ASME V&V 10, ASME Books 2006, ISBN #: 079183042X.
4. ASME. Standard for verification and validation in computational fluid dynamics and heat transfer, ASME V&V 20-2008. Am Soc Mech Eng, in press.
5. In: Wang S.S.Y., Roache P.J., Schmalz R.A., and Jia Y. (Eds). Verification and validation of 3D free-surface flow models (2009), ASCE
6. ITTC quality manual.
7. Roache P.J. Verification and validation in computational science and engineering (1998), Hermosa Publishers, Albuquerque, New Mexico
8. Eça L, Hoekstra M (Eds.), Proceedings of the workshop on CFD uncertainty analysis, Lisbon; October 2004.
9. Eça L, Hoekstra M, Roache PJ. Verification of calculations: an overview of the lisbon workshop. In: AIAA computational fluid dynamics conference, Toronto; June 2005. AIAA Paper 4728.
10. Eça L, Hoekstra M. On the influence of the iterative error in the numerical uncertainty of ship viscous flow calculations. In: 26th Symposium on naval hydrodynamics, Rome, Italy; September 2006.
11. Pelletier D, Roache PJ. CFD code verification and the method of the manufactured solutions. In: 10th Annual conference of the CFD society of Canada, Windsor, Ontario, Canada; June 2002.
12. Pelletier D., and Roache P.J. Verification and validation in computational, heat transfer handbook of numerical heat transfer. 2nd ed. (2006), Wiley, New York [chapter 3]
13. Oberkampf WL, Blottner FG, Aeschliman DP. Methodology for computational fluid dynamics code verification/validation. In: AIAA 26th fluid dynamics conference, San Diego, California; June 1995. AIAA Paper 95-2226.
14. Turgeon E., and Pelletier D. Verification and validation of adaptive finite element method for impingement heat transfer. J Thermophys Heat Transfer 15 (2001) 284-292
15. Turgeon E., and Pelletier D. Verification and validation in CFD using an adaptive finite element method. Can Aeronaut Space J 48 (2002) 219-231
16. Knupp P., and Salari K. Verification of computer codes in computational science and engineering (2002), CRC Press, Boca Raton, FL
17. Roache P.J. Code verification by the method of the manufactured solutions. ASME J Fluids Eng 114 March (2002) 4-10
18. Eça L., Hoekstra M., Hay A., and Pelletier D. A manufactured solution for a two-dimensional steady wall-bounded incompressible turbulent flow. Int J CFD 21 3-4 (2007) 175-188
19. Eça L, Hoekstra M. On the influence of grid topology on the accuracy of ship viscous flow calculations. In: Fifth Osaka colloquium on advanced CFD applications to ship flow and hull form design, Osaka, Japan; 2005.
20. Roache PJ. Error bars for CFD. In: 41th aerospace sciences meeting, Reno NV,;January 2003. AIAA-2003-048.
21. Ferziger J.H., and Peric M. Computational methods for fluid dynamics (1996), Springer-Verlag, Berlin
22. Eça L, Hoekstra M. Evaluation of numerical error estimation based on grid refinement studies with the method of the manufactured solutions, IST Report D72-42; May 2007.
23. Eça L, Hoekstra M. An evaluation of verification procedures for cfd applications. In: 24th symposium on naval hydrodynamics, Fukuoka, Japan; July 2002.
24. Stern F., Wilson R., Coleman H.W., and Paterson E.G. Comprehemsive approach to verification and validation of CFD simulations. Part 1: Methodologies and procedures. ASME J Fluids Eng 123 (2001) 803-810
25. Eça L., Hoekstra M., Hay A., and Pelletier D. On the construction of manufactured solutions for one and two-equation eddy-viscosity models. Int J Numer Methods Fluids 54 (2007) 119-154
26. Wilcox D.C. Reassessment of the scale-determining equation for advanced turbulence models. AIAA J 26 11 (1988) 1299-1310
27. Wilcox DC. Turbulence modeling for CFD. 3rd ed. La Canada: DCW Industries; November 2006.
28. Menter F.R. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J 32 (1994) 1598-1605
29. José MQB, Jacob JMQB, Eça L. 2-D Incompressible steady flow calculations with a fully coupled method. In: VI congresso nacional de mecânica aplicada e computacional, Aveiro; April 2000.
30. nd Workshop on CFD uncertainty analysis, Instituto Superior Técnico, Lisbon; October 2006.
31. Vinokur M. On one-dimensional stretching functions for finite-difference calculations. J Comput Phys 50 (1983) 215-234
32. Salas M.D. Some observations on grid convergence. Comput Fluids 35 7 (2006) 688-692