Verification of codes and calculations

AIAA Journal

Volumn 36, Issue 5, 1998, Pages 696-702

  Roache, Patrick J ^a,b  

^a AIAA ^*  (United States)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000649546     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.457     Document Type: Article

References (61)

1. Roache, P. J., Ghia, K., and White, F., "Editorial Policy Statement on the Control of Numerical Accuracy," Journal of Fluids Engineering, Vol. 108, No. 1, 1986, p. 2.
2. Freitas, C. J., "Editorial Policy Statement on the Control of Numerical Accuracy," Journal of Fluids Engineering, Vol. 115, No. 2, 1993, p. 339.
3. Editorial Board, "Journal of Heat Transfer Editorial Policy Statement on Numerical Accuracy," Journal of Heat Transfer, Vol. 116, Nov. 1994, pp. 797, 798.
4. AIAA, "Editorial Policy Statement on Numerical Accuracy and Experimental Uncertainty," AIAA Journal, Vol. 32, No. 1, 1994, p. 3.
5. Gresho, P. M., and Taylor, C., "Editorial," International Journal for Numerical Methods in Fluids, Vol. 19, 1994, p. iii.
6. Roache, P. J., "Need for Control of Numerical Accuracy," Journal of Spacecraft and Rockets, Vol. 27, No. 2, 1990, pp. 98-102; also AIAA Paper 89-1669, 1989.
7. Horgan, J., "From Complexity to Perplexity," Scientific American, Vol. 272, No. 6, 1995, pp. 104-109.
8. Konikow, L. F., and Bredehoeft, J. D., "Groundwater Models Cannot be Validated," Advances in Water Resources, Vol. 15, 1992, pp. 75-83.
9. Oreskes, N., Shrader-Frechette, K., and Belitz, K., "Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences," Science, Vol. 263, Feb. 1994, pp. 641-646.
10. Boehm, B. W., Software Engineering Economics, Prentice-Hall, Englewood Cliffs, NJ, 1981.
11. Blottner, F. G., "Accurate Navier-Stokes Results for the Hypersonic Flow over a Spherical Nosetip," Journal of Spacecraft and Rockets, Vol. 27, No. 2, 1990, pp. 113-122.
12. Aeschliman, D. P., Oberkampf, W. L., and Blottner, F. G., "A Proposed Methodology for Computational Fluid Dynamics Code Verification, Calibration, and Validation," Proceedings of the International Congress on Instrumentation in Aerospace Simulation Facilities, 1995.
13. Haynes, T. S., Reed, H. L., and Saric, W. S., "CFD Validation Issues in Transition Modeling," AIAA Paper 96-2051, 1996.
14. Roache, P. J., Knupp, P. M., Steinberg, S., and Blaine, R. L., "Experience with Benchmark Test Cases for Groundwater Flow," Benchmark Test Cases for Computational Fluid Dynamics, edited by I. Celik and C. J. Freitas, ASME FED, Vol. 93, Book H00598, American Society of Mechanical Engineers, 1990, pp. 49-56.
15. Mehta, U., "Computational Requirements for Hypersonic Flight Performance Estimates," AIAA Paper 89-1670, June 1989.
16. Melnik, R., and Siclari, M., "An Overview of a Recent Industry Effort at CFD Code Validation," AIAA Paper 95-2229, 1995.
17. Mehta, U., "Some Aspects of Uncertainly in Computational Fluid Dynamics Results," Journal of Fluids Engineering, Vol. 113, 1995, pp. 538-543.
18. Mehta, U., "Guide to Credible Computational Fluid Dynamics Simulations," AIAA Paper 95-2225, 1995.
19. Cosner, R. R., "CFD Validation Requirements for Technology Transition," AIAA Paper 95-2227, 1995.
20. Melnik, R. E., Siclari, M. J., Marconi, F., Barger, T., and Verhoff, A., "An Overview of a Recent Industry Effort at CFD Code Certification," AIAA Paper 95-2229, 1995.
21. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, 1980
22. Ferziger, J. H., "Estimation and Redaction of Numerical Error," Quantification of Uncertainty in Computational Fluid Dynamics, edited by I. Celik, C. J. Chen, P. J. Roache, and C. Scheurer, ASME FED, Vol. 158, American Society of Mechanical Engineers, 1993, p. 18.
23. Karniadakis, G. E., "Toward a Numerical Error Bar in CFD," Journal of Fluids Engineering, Vol. 117, No. 1, 1995, pp. 7-9.
24. Vanka, P., "Comment on Toward a Nomerical Error Bar in CFD," Journal of Fluids Engineering, Vol. 117, No. 1, 1995, pp. 9, 10.
25. Roache, P. J., Computational Fluid Dynamics, Hermosa Publishers, Albuquerque, NM, 1972; revised printing, 1976; also Fundamentals of Computational Fluid Dynamics, 1998.
26. Roache, P. J., Computational Fluid Dynamics, Hermosa Publishers, Albuquerque, NM, 1972; revised printing, 1976; also Fundamentals of Computational Fluid Dynamics, 1998.
27. Zingg, D. W., "Grid Studies for Thin-Layer Navier-Stokes Computations of Airfoil Flowfield," AIAA Journal, Vol. 30, No. 10, 1993, pp. 2561-2564.
28. Roache, P. J., "Perspective: A Method for Uniform Reporting of Grid Refinement Studies," Journal of Fluids Engineering, Vol. 116, No. 3, 1994, pp. 405-413.
29. Sudicky, E. A., and Frind, E. O., "Contaminant Transport in Fractured Porous Media: Analytical Solutions for a System of Parallel Fractures," Water Resources Research, Vol. 18, No. 6, 1982, pp. 1634-1642.
30. Roache, P. J., "Response: To the Comments by Drs. W. Shyy and M. Sindir," Journal of Fluids Engineering, Vol. 116, No. 2, 1994, pp. 198, 199.
31. Steinberg, S., and Roache, P. J., "Symbolic Manipulation and Computational Fluid Dynamic," Journal of Computational Physics, Vol. 57, No. 2, 1985, pp. 251-284.
32. Polya, G., How to Solve It: A New Aspect of Mathematical Method, Princeton Univ. Press, Princeton, NJ, 1953.
33. Roache, P. J., and Steinberg, S., "Symbolic Manipulation and Computational Fluid Dynamics," AIAA Paper 83-1952, 1983; also AIAA Journal, Vol. 22, No. 10, 1984, pp. 1390-1394.
34. Roache, P. J., and Steinberg, S., "Symbolic Manipulation and Computational Fluid Dynamics," AIAA Paper 83-1952, 1983; also AIAA Journal, Vol. 22, No. 10, 1984, pp. 1390-1394.
35. Steinberg, S., and Roache, P. J., "A Tool Kit of Symbolic Manipulation Programs for Variation Grid Generation," AIAA Paper 86-0241, 1986.
36. Roache, R. J., "A Method for Uniform Reporting of Grid Refinement Studies," Quantification of Uncertainty in Computational Fluid Dynamics, edited by I. Celik, C. J. Chen, P. J. Roache, and G. Scheurer, ASME FED, Vol. 158, American Society of Mechanical Engineers, 1993, pp. 109-120.
37. Reache, P. J., "A Method for Uniform Reporting of Grid Refinement Studies," Proceedings of the AIAA 11th Computational Fluid Dynamics Conference, Pt. 2, AIAA, Washington, DC, 1993, pp. 1057, 1058.
38. de Vahl Davis, G., "National Convection of Air in a Square Cavity: A Benchmark Numerical Solution," International Journal for Numerical Methods in Fluids, Vol. 3, No. 3, 1983, pp. 249-264.
39. Westerink, J. J., and Roache, P. J., "Issues in Convergence Studies in Geophysical Flow Computations," Joint JSME-ASME Fluid Mechanics Meeting, Session F137, 1995.
40. Roache, P. J., "Quantification of Uncertainty in Computational Fluid Dynamics," Annual Review of Fluid Mechanics, Vol. 29, 1997, pp. 123-160.
41. Johnson, R. W., and Hughes, E. D., eds., Quantification of Uncertainty in Computational Fluids Dynamics - 1995, Joint JSME-ASME Fluid Mechanics Meeting, ASME FED, Vol. 213, American Society of Mechanical Engineers, 1995.
42. Lotz, R. D., Thompson, B. E., Konings, C. A., and Davoudzadeh, F., "Numerical Uncertainties in Transonic Flow Calculations for Airfoils with Blunt Trailing Edges," International Journal for Numerical Methods in Fluids, Vol. 24, 1997, pp. 355-373.
43. Roache, P. J., "The SECO Code Algorithms for Groundwater Flow and Transport," Finite Elements in Fluids: New Trends and Applications, Part II, Proceedings VIII International Conference on Finite Elements in Fluids, edited by K. Morgan, E. Onate, J. Periaux, J. Peraire, and O. C. Zienkiewicz, 1993, pp. 939-948.
44. Salari, K., Blaine, R. L., Economy, K., and Roache, P. J., "Grid Resolution Studies of Radionuclide Transport in Fractured Porous Media," Joint JSME-ASME Fluid Mechanics Meeting, ASME FED, Vol. 213, American Society of Mechanical Engineers, 1995.
45. Wilcox, D. C., Turbulence Modeling for CFD, DCW Industries, La Can̄ada, CA, 1993.
46. Mueller, T. J., Hall, C. R., and Roache, P. J., "Influence of Initial Flow Direction on the Turbulent Base Pressure in Supersonic Axisymmetric Flow," Journal of Spacecraft and Rockets, Vol. 7, No. 12, 1970, pp. 1484-1488.
47. Roache, P. J., "Base Drag Calculations in Supersonic Turbulent Axisymmetric Flows," Journal of Spacecraft and Rockets, Vol. 10, No. 4, 1973, pp. 285-287.
48. Roache, P. J., "Semidirect/Marching Methods and Elliptic Grid Generation," Proceedings of the Symposium on the Numerical Generation of Curvilinear Coordinate Systems and Use in the Numerical Solution of Partial Differential Equations, edited by J. F. Thompson, 1982, pp. 727-737.
49. Roache, P. J., Elliptic Marching Methods and Domain Decamposition, CRC Press, Boca Raton, FL, 1995.
50. Shirazi, S. A., and Truman, C. R., "Evaluation of Algebraic Turbulence Models for PNS Predictions of Supersonic Flow Past a Sphere-Cone," AIAA Journal, Vol. 27, No. 5, 1989, pp. 560-568
51. Celik, I., and Zhang, W.-M., "Calculation of Numerical Uacertainty Using Richardson Extrapolation: Application to Some Simple Turbulent Flow Calculations," Journal of Fluids Engineering, Vol. 117, Sept. 1995, pp. 439-445.
52. Claus, R. W., and Vanka, S. P., "Multigrid Calculations of a Jet in Crossflow," Journal of Propulsion and Power, Vol. 8, 1992, pp. 185-193.
53. Luettich, R. A., and Westerink, J. J., "Continental Shelf Scale Convergence Studies with a Barotropic Tidal Model," Quantitative Skill Assessment for Coastal Ocean Models, edited by D. R. Lynch and A. M. Davies, AGU Press, 1995.
54. Westerink, J. J., Luettich, R. A., and Muccino, J. C., "Modeling Tides in the Western North Atlantic Using Unstructured Graded Grids," Tellus, 46A, 1994, pp. 187-199
55. 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, Series A, Vol. 210, 1908, pp. 307-357.
56. Oden, J. T., Kennon, S. R., Tworzydlo, W. W., Bass, J. M., and Berry, C., "Progress on Adaptive h-p Finite Element Methods for the Incompressible Navier-Stokes Equations," Computational Mechanics, Vol. 11, 1993, pp. 421-432.
57. Haworth, D. C., El Tahry, S. H., and Huebler, M. S., "A Global Approach to Error Estimation and Physical Diagnostics in Multidimensional Computational Fluid Dynamics," International Journal for Neumerical Methods in Fluids, Vol. 17, 1993, pp. 75-97.
58. Chang, S., and Haworth, D. C., "Adaptive Grid Refinement Using Cell-Level and Global Imbalances," International Journal for Numerical Methods in Fluids, Vol. 24, 1997, pp. 375-392.
59. WIPP PA Department, Annual Performance Assessment for the Waste Isolation Pilot Plunt, Vol. 1, Preliminary Comparison with 40 CFR 191, Subpart B, Vol. 2: Technical Basis, Performance Assessment Department, Sandia National Lab., Albuquerque, NM, 1992.
60. Oberkampf, W. L., "A Proposed Framework for Computational Fluid Dynamics Code Calibration/Validation," AIAA Paper 94-2540, June 1994.
61. Roache, P. J., Verification and Validation in Computational Science and Engineering, Hormosa Publishers, Albuquerque, NM, 1998.