41
Views
10
CrossRef citations to date
0
Altmetric
Technical Paper

Multiphysics Analysis of Spherical Fast Burst Reactors

, &
Pages 132-143 | Published online: 10 Apr 2017

REFERENCES

  • D. BURGREEN, “Thermoelastic Dynamics of Rods, Thin Shells, and Solid Spheres,” Nucl. Sci. Eng., 12, 203 (1962).
  • T. F. WIMETT, “Dynamics and Power Prediction in Fission Bursts,” Nucl. Sci. Eng., 110, 209 (1992).
  • S. C. WILSON, S. R. BIEGALSKI, and R. L. COATS, “Computational Modeling of Coupled Thermomechanical and Neutron Transport Behavior in a Godiva-Like Nuclear Assembly,” Nucl. Sci. Eng., 157, 344 (2007).
  • R. KIMPLAND, “Preliminary Results of Godiva-IV Prompt Burst Modeling,” LA-UR-96–1498, Los Alamos National Laboratory.
  • J. J. DUDERSTADT and L. J. HAMILTON, Nuclear Reactor Analysis, p. 2, John Wiley & Sons, New York (1976).
  • J. R. LAMARSH and A. J. BARATTA, Introduction to Nuclear Engineering, Prentice-Hall, Upper Saddle River, New Jersey (2001).
  • R. J. LEVEQUE, Finite Volume Methods for Hyperbolic Problems, in Texts in Applied Mathematics, Cambridge University Press, New York (1998).
  • J. W. THOMAS, Numerical Partial Differential Equations I (Finite Difference Methods), in Texts in Applied Mathematics, Springer-Verlag, New York (1998).
  • J. C. STRIKWERDA, Finite Difference Schemes Partial Differential Equations, Wadsworth & Brooks0Cole, Advance Books & Software, Pacific Grove, California (1989).
  • J. W. THOMAS, Numerical Partial Differential Equations II (Conservation Laws and Elliptic Equations), in Texts in Applied Mathematics, Springer-Verlag, New York (1999).
  • J. DORMAND, Numerical Methods for Differential Equations: A Computational Approach, CRC Press, Boca Raton, Florida (1996).
  • Y. SAAD, Iterative Methods for Sparse Linear Systems, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania (2003).
  • D. A. KNOLL and D. E. KEYES, “Jacobian-Free Newton Krylov Methods: A Survey of Approaches and Applications,” J. Comput. Phys., 193, 357 (2004).
  • C. T. KELLEY, Solving Nonlinear Equations with Newton’s Method, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania (2003).
  • J. K. REID, On the Methods of Conjugate Gradients for the Solution of Large Sparse Systems of Linear Equations, Academic Press, New York (1971).
  • C. T. KELLEY, Iterative Methods for Solving Linear and Nonlinear Equations, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania (1995).
  • R. HABERMANN, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, Pearson Prentice Hall (2004).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.