On numerical solution of strongly anisotropic diffusion equation on misaligned grids

Numerical Heat Transfer, Part B: Fundamentals

Volumn 47, Issue 6, 2005, Pages 533-554

  Umansky, M V ^a   Day, M S ^a   Rognlien, T D ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DIFFUSION; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; FLUXES; MAGNETIC FIELD EFFECTS; MAGNETIZATION; MATHEMATICAL MODELS; PLASMAS;

ANISOTROPIC DIFFUSION EQUATIONS; DIFFUSION MODELING; MISALIGNED GRIDS; NUMERICAL ERRORS;

TRANSPORT PROPERTIES;

EID: 20544436972     PISSN: 10407790     EISSN: None     Source Type: Journal    
DOI: 10.1080/10407790590928946     Document Type: Article

References (23)

1. L. Spitzer, Physics of Fully Ionized Gases, Wiley, New York, 1962.
2. J. P. Freidberg, Ideal Magnetohydrodynamics, Plenum, New York, 1987.
3. A. M. Dimits, Phys. Rev. E, vol. 48, p. 4070, 1993.
4. X. Q. Xu, R. H. Cohen, T. D. Rognlien, J. R. Myra, Phys. Plasmas, vol. 7, pp. 1951-1958, 2000.
5. A. B. Rechester and M. N. Rosenbluth, Phys. Rev. Lett., vol. 40, p. 38, 1978.
6. R. Vesey and D. Steiner, J. Comput. Phys., vol. 116, pp. 300-313, 1994.
7. M. Day, Ph.D. thesis, University of California, Los Angeles, 1995.
8. R. Zanino, J. Comput. Phys., vol. 138, pp. 881-906, 1997.
9. S. A. Galkin, A. A. Ivanov, S. Yu. Medvedev, and A. J. Elfimov, Comput. Phys. Commun., vol. 143, pp. 29-47, 2002.
10. B. Scott, Low Frequency Fluid Drift Turbulence in Magnetized Plasmas, Max-Planck Institut fur Plasmaphysik Report, Garching, Germany, 2001.
11. A. M. Runov, D. Reiter, S. V. Kasilov, M. F. Heyn, and W. Kernbichler, Phys. Plasmas, vol. 8, pp. 916-930, 2001.
12. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1980.
13. M. H. Protter and H. F. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, 1967.
14. A. A. Samarskii, The Theory of Difference Schemes, Marcel Dekker, New York, 2002.
15. A. R. Mitchell, The Finite-Difference Method in PDEs, Wiley, New York, 1980.
16. L. F. Richardson, Philos. Trans. Roy. Soc. Lond. Ser. A, p. 226, 1927.
17. S. K. Godunov and V. S. Ryabenkii, Difference Schemes: An Introduction to the Underlying Theory, North-Holland, Amsterdam, 1987.
18. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, Boston, 1994.
19. T. A. Driscoll, A MATLAB Toolbox for Schwarz-Christoffel Mapping, ACM Trans. Math. Soft., vol. 22, pp. 168-186, 1996.
20. P. C. Stangeby, The Plasma Boundary of Magnetic Fusion Devices, Institute of Physics Publishing, Bristol, UK, 2000.
21. O. V. Batishchev, A. A. Batishcheva, and A. S. Kholodov, J. Plasma Phys., vol. 61, pp. 701-722, 1999.
22. G. D. Raithby, Comput. Meth. Appl. Mech. Eng., vol. 9, p. 75, 1976.
23. G. D. Raithby, Comput. Meth. Appl. Mech. Eng., vol. 9, p. 153, 1976.