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Numerical studies of the heat conduction equation with highly anisotropic tensor conductivity

  • C. K. Chu
  • K. W. Morton
  • K. V. Roberts
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 19)

Abstract

For short time scale calculations our studies have shown the diagonal schemes to be much more accurate than the cross derivative scheme. If the angle ϕ between the (x, y) axes and the (ξ, η) axes varies little over the region, they are also very practical. This covers many cases of interest: but if ϕ varies greatly, probably only scheme II will be useful.

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References

  1. Bramble, J.H. and Hubbard, B.E., Contributions to Diff. Eq. 3, 339 (1964).MathSciNetGoogle Scholar
  2. Pucci, C. Some Topics in Parabolic and Elliptic Equations. U. of Md. Inst. Fluid Dynamics and Appl. Math. Lect. Series, 36, (1958).Google Scholar
  3. Roberts, K.V. and Potter, D.E., in Methods of Computational Physics, Vol. 9 (ed. Alder et al), p. 339, Academic Press (1970).Google Scholar
  4. Yanenko, N.N. Methods of Fractional Steps. Springer Verlag 1971.Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • C. K. Chu
    • 1
  • K. W. Morton
    • 2
  • K. V. Roberts
    • 3
  1. 1.Culham LaboratoryUniv. of Oxford and UKAEAUK
  2. 2.Culham LaboratoryUniv. of Reading and UKAEAUK
  3. 3.Culham LaboratoryUKAEAUK

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