Skip to main content

Validation and Verification of Collisional-Radiative Models

  • Chapter
  • First Online:

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 90))

Abstract

Quality control is as relevant to scientific computer codes as to any other software. For complex collisional-radiative (CR) models that are used to calculate plasma population kinetics parameters and spectra, each CR code is expected to be thoroughly tested and verified not only against experimental data but also against fundamental principles governing plasma population kinetics. In this Chapter we describe the advanced methods for validation and verification of CR models that were developed at the series of Non-Local Thermodynamic Equilibrium (Non-LTE) Code Comparison Workshops. In addition, the Monte Carlo approach to analysis of uncertainty propagation in CR is exemplified.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. D.R. Bates, A.E. Kingston, R.W.P. McWhirter, Proc. R. Soc. London Ser. A 267, 297 (1962). Proc. R. Soc. London Ser. A 270, 155 (1962)

    Google Scholar 

  2. H.R. Griem, Principles of Plasma Spectroscopy (Cambridge University Press, Cambridge, 1997)

    Book  Google Scholar 

  3. J. Oxenius, Kinetic Theory of Particles and Photons (Springer, Berlin, 1986)

    Book  Google Scholar 

  4. D. Salzmann, Atomic Physics in Hot Plasmas (Oxford University Press, Oxford, 1998)

    Google Scholar 

  5. T. Fujimoto, Plasma Spectroscopy (Clarendon Press, Oxford, 2004)

    Book  MATH  Google Scholar 

  6. J.A.M. van der Mullen, Phys. Rep. 191, 109 (1990)

    Article  ADS  Google Scholar 

  7. D.E. Post, L.G. Volta, Phys. Today 58, 35 (2005)

    Article  ADS  Google Scholar 

  8. Assessing the Reliability of Complex Models: Mathematical and Statistical Foundations of Verification, Validation, and Uncertainty Quantification, National Research Council report (The National Academies Press, Washington DC, 2012)

    Google Scholar 

  9. B.W. Boehm, in Euro IFIP 79: Proceedings of the European Conference on Applied Information Technology of the International Federation for Information Processing, ed. by P.A. Samet (North Holland, 1979), pp. 711–719

    Google Scholar 

  10. H.A. Scott, Preprint UCRL-99666 (1988)

    Google Scholar 

  11. H.P. Summers, N.R. Badnell, M.G. O’Mullane, A.D. Whiteford, R. Bingham, B.J. Kellett, J. Lang, K.H. Behringer, U. Fantz, K.-D. Zastrow, S.D. Loch, M.S. Pindzola, D.C. Griffin, C.P. Ballance, Plasma Phys. Control. Fusion 44, B323 (2002)

    Google Scholar 

  12. M.A. Bautista, V. Fivet, P. Quinet, J. Dunn, T.R. Gull, T.R. Kallman, C. Mendoza, Astrophys. J. 770, 15 (2014)

    Article  ADS  Google Scholar 

  13. R. Wesson, D.J. Stock, P. Scicluna, Mon. Not. R. Astron. Soc. 422, 3516 (2012)

    Article  ADS  Google Scholar 

  14. C.P. Ballance, S.D. Loch, A.R. Foster, R.K. Smith, M.C. Witthoeft, T.R. Kallman, Fusion Sci. Technol. 63, 358 (2013)

    Google Scholar 

  15. Yu. Ralchenko, Y. Maron, J. Quant. Spectrosc. Radiat. Transf. 71, 609 (2001)

    Google Scholar 

  16. M.F. Gu, Can. J. Phys. 86, 675 (2008)

    Article  ADS  Google Scholar 

  17. N.L. Johnson, S. Kotz, N. Balakrishnan, Continuous Univariate Distributions (Wiley, New York, 1994)

    MATH  Google Scholar 

  18. G. Marsaglia, T.A. Bray, SIAM Rev. 6, 260 (1964)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  19. A. Rickert, J. Quant. Spectrosc. Radiat. Transf. 54, 325 (1995)

    Article  ADS  Google Scholar 

  20. I.T. Iliev, B. Ciardi, M.A. Alvarez et al., Mon. Not. R. Astron. Soc. 371, 1057 (2006)

    Article  ADS  Google Scholar 

  21. E. Stambulchik, High Energy Density Phys. 9, 528 (2013)

    Article  ADS  Google Scholar 

  22. E. Stambulchik, A. Calisti, H.-K. Chung, M.Á. González, Atoms 2, 378 (2014)

    Article  ADS  Google Scholar 

  23. R.W. Lee, J.K. Nash, Yu. Ralchenko, J. Quant. Spectrosc. Radiat. Transf. 58, 737 (1997)

    Google Scholar 

  24. C. Bowen, A. Decoster, C.J. Fontes, K.B. Fournier, Yu. Ralchenko, J. Quant. Spectrosc. Radiat. Transf. 81, 737 (2003)

    Google Scholar 

  25. C. Bowen, R.W. Lee, Yu. Ralchenko, J. Quant. Spectrosc. Radiat. Transf. 99, 102 (2006)

    Google Scholar 

  26. J.G. Rubiano, R. Florido, C. Bowen, R.W. Lee, Yu. Ralchenko, High Energy Density Phys. 3, 225 (2007)

    Google Scholar 

  27. C.J. Fontes, J. Abdallah Jr, C. Bowen, R.W. Lee, Yu. Ralchenko, High Energy Density Phys. 5, 15 (2009)

    Google Scholar 

  28. Yu. Ralchenko, J. Abdallah Jr., A. Bar-Shalom, et al., in: 16th International Conference on Atomic Processes in Plasmas, ed. by K.B. Fournier. AIP Proceedings, vol. 1161 (2009), p. 242

    Google Scholar 

  29. S.B. Hansen, G.S.J. Armstrong, S. Bastiani-Ceccotti et al., High Energy Density Phys. 9, 523 (2013)

    Article  ADS  Google Scholar 

  30. H.K. Chung, C. Bowen, C.J. Fontes, S.B. Hansen, Yu. Ralchenko, High Energy Density Phys. 9, 645 (2013)

    Google Scholar 

  31. S. Mazevet, J. Abdallah Jr., J. Phys. B 39, 3419 (2006)

    Google Scholar 

  32. S.B. Hansen, J. Bauche, C. Bauche-Arnoult, M.F. Gu, High Energy Density Phys. 3, 109 (2007)

    Article  ADS  Google Scholar 

  33. A. Burgess, Astrophys. J. 136, 776 (1964)

    Article  ADS  Google Scholar 

  34. K.B. Fournier, M.J. May, D. Pacella, M. Finkenthal, B.C. Gregory, W.H. Goldstein, Nucl. Fusion 40, 847 (1999)

    Article  ADS  Google Scholar 

  35. A. Kramida, Yu. Ralchenko, J. Reader, NIST ASD Team, NIST Atomic Spectra Database (ver. 5.2). (National Institute of Standards and Technology, Gaithersburg, MD 2014), http://physics.nist.gov/asd Accessed 5 May 2015

Download references

Acknowledgments

The success of the NLTE Workshops is due to enthusiastic support of the participants and their inspiring feedback that was always instrumental in development of new code comparison methods. I am very thankful to all of them. In particular, it is my great pleasure to acknowledge Richard Lee (LLNL), Spiros Alexiou (University of Crete), Christopher Bowen (CEA), James Colgan (LANL), Hyun-Kyung Chung (LLNL/IAEA), Chris Fontes (LANL), Stephanie Hansen (LLNL/SNL), and Jesus Rubiano (University of Las Palmas de Gran Canaria) who had selflessly taken on themselves the duties of case development, session coordination, and general workshop organization. I also thank Evgeny Stambulchik (WIS) and Alexander Kramida (NIST) for valuable comments.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. Ralchenko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Yu. Ralchenko (2016). Validation and Verification of Collisional-Radiative Models. In: Ralchenko, Y. (eds) Modern Methods in Collisional-Radiative Modeling of Plasmas. Springer Series on Atomic, Optical, and Plasma Physics, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-27514-7_8

Download citation

Publish with us

Policies and ethics