Uncertainty Quantification and the Verification and Validation of Computational Models

Damage Prognosis: For Aerospace, Civil and Mechanical Systems

Volumn , Issue , 2005, Pages 201-219

  Hemez, François M ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Bayesian screening; Code verification; Credibility of predictions; Effect screening; Information integration; Numerical algorithm verification; Solution verification; Total uncertainty assessment; Validation and verification

Indexed keywords

EID: 79959592950     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/0470869097.ch9     Document Type: Chapter

References (30)

1. The Los Alamos Dynamics Summer School, ext.lanl.gov/projects/dss/home.htm.
2. Doebling, S.W. 'Structural Dynamics Model Validation: Pushing the Envelope', International Conference on Structural Dynamics Modeling: Test, Analysis, Correlation and Validation, Madeira, Portugal, June 3-5, Instituto Superior Técnico, Lisbon, 2002.
3. Hemez, F.M. and Ben-Haim, Y. 'The Good, the Bad, and the Ugly of Predictive Science', Fourth International Conference on Sensitivity Analysis of Model Output, Santa Fe, New Mexico, March 8-11, Los Alamos National Laboratory, 2004.
4. Booker, J., Ross, T., Hemez, F.M., Anderson, M.C. and Joslyn, C. 'Quantifying Total Uncertainty in a Validation Assessment Using Different Mathematical Theories', Fourteenth Biennial Nuclear Explosives Design Physics Conference, Los Alamos National Laboratory, Los Alamos, New Mexico, October 20-24, 2003.
5. Ross, T., Booker, J. and Hemez, F.M. 'Quantifying Total Uncertainty and Performance Margin in Assessing the Reliability of Manufactured Systems', Fifth Biennial Tri-lab. Engineering Conference, Santa Fe, New Mexico, October 21-23, Los Alamos National Laboratory 2003.
6. AIAA. Guide for the Verification and Validation of Computational Fluid Dynamics Simulations, American Institute of Aeronautics and Astronautics, AIAA-G-077-1998, Reston, Virginia, 1998.
7. Roache, P.J. Verification and Validation in Computational Science and Engineering, Hermosa Publishers, Albuquerque, New Mexico, 1998.
8. Roache, P.J. 'Code Verification by the Method of Manufactured Solutions', Journal of Fluids Engineering, 114, 4-10 (2002).
9. Ferziger, J.H. and Peric, M. Computational Methods for Fluid Dynamics, Springer-Verlag, New York, 1996.
10. Oden, J.T. 'Error Estimation and Control in Computational Fluid Dynamics', in The Mathematics of Finite Elements and Applications, Whiteman, J.R. (Ed.) John Wiley & Sons, Inc., New York, 1993, pp. 1-23.
11. Ainsworth, M. and Oden, J.T. A Posteriori Error Estimation in Finite Element Analysis, John Wiley & Sons, Inc., New York, 2000.
12. Roache, P.J. 'Perspective: A method for uniform reporting of grid refinement studies', Journal of Fluids Engineering, 116, 405-413 (1994).
13. Cadafalch, J., Perez-Segarra, C.C., Consul, R. and Oliva, A. 'Verification of finite volume computations on steady state fluid flow and heat transfer', Journal of Fluids Engineering, 124, 11-21 (2002).
14. Chen, C.-F., Lotz, R.D. and Thompson, B.E. 'Assessment of numerical uncertainty around shocks and corners on blunt trailing-edge supercritical airfoils', Computers and Fluids, 31, 25-40 (2002).
15. Brock, J.S. 'Isolating Temporal Discretization Errors for Separate Verification Activities', Technical report LA-UR-03-9160, Los Alamos National Laboratory, Los Alamos, New Mexico, December 2003; 2004 AIAA Aerospace Sciences Conference, paper number AIAA-2004-0741, January 2004.
16. Adessio, F.L., Johnson, J.N. and Maudlin, P.J. 'The effect of void growth on Taylor cylinder impact experiments', Journal of Applied Physics, 73, 7288-7297 (1993).
17. Zerilli, F.J. and Amstrong, R.W. 'Dislocation mechanics-based constitutive relations for material dynamics calculations', Journal of Applied Physics, 61, 1816-1825 (1987).
18. Cundy, A.L., Schultze, J.F., Hemez, F.M., Doebling, S.W. and Bingham, D. 'Variable Screening in Metamodel Design for a Large Structural Dynamics Simulation', Twentieth International Modal Analysis Conference, Los Angeles, California, February 4-7, 2002, Society for Experimental Mechanics, pp. 900-903.
19. Hemez, F.M., Wilson, A.C. and Doebling, S.W. 'Design of Computer Experiments for Improving an Impact Test Simulation', Nineteenth International Modal Analysis Conference, Kissimmee, Florida, February 5-8, 2001, Society for Experimental Mechanics, pp. 977-985.
20. Kerschen, G., Golinval, J.-C. and Hemez, F.M. 'Bayesian model screening for the identification of nonlinear mechanical structures', Journal of Vibration and Acoustics, 125, 389-397 (2003).
21. HKS/AbaqusTM Explicit User's Manual, Version 5.8, Hibbitt, Karlsson & Sorensen, Pawtucket, Rhode Island, 1998.
22. McKay, M.D., Beckman, R.J. and Conover, W.J. 'A comparison of three methods for selecting values of input variables in the analysis of output from a computer code', Technometrics, 21, 239-245 (1979).
23. Hedayat, A.S., Sloane, N.J.A. and Stufken, J. Orthogonal Arrays: Theory and Applications, Springer-Verlag, New York, 1999.
24. Hanson, K.M. 'A framework for assessing uncertainties in simulation predictions', Physica D, 133, 179-188 (1999).
25. Carlin, B.P. and Chib, S. 'Bayesian model choice via Markov chain Monte Carlo', Journal of the Royal Statistical Society Series B, 77, 473-484 (1995).
26. Saltelli, A., Chan, K. and Scott, M. Sensitivity Analysis, John Wiley & Sons, Inc., New York, 2000.
27. Myers, R.H. and Montgomery, D.C. Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Wiley Interscience, New York, 1995.
28. Wu, C.F.J. and Hamada, M. Experiments: Planning, Analysis, and Parameter Design Optimization, John Wiley & Sons, Inc., New York, 2000.
29. Ben-Haim, Y. 'Robust rationality and decisions under severe uncertainty', Journal of the Franklin Institute, 337, 171-199 (2000).
30. Ben-Haim, Y. Information-Gap Decision Theory: Decisions Under Severe Uncertainty, Academic Press, New York, 2001.