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Generalised Curvilinear Coordinates

  • Clive A. J. Fletcher
Part of the Springer Series in Computational Physics book series

Abstract

The computation of flowfields in and around complex shapes such as ducts, engine intakes, complete aircraft or automobiles, etc., involves computational boundaries that do not coincide with coordinate lines in physical space. For finite difference methods, the imposition of boundary conditions for such problems has required a complicated interpolation of the data on local grid lines and, typically, a local loss of accuracy in the computational solution.

Keywords

Computational Domain Computational Grid Truncation Error Physical Domain Transformation Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Aris, R. (1962): Vectors, Tensors and the Basic Equations of Fluid Dynamics (Prentice-Hall, Englewood Cliffs, N J.)Google Scholar
  2. Eiseman, P.R., Stone, A.P. (1980): SIAM Rev. 22, 12–27CrossRefMATHMathSciNetGoogle Scholar
  3. Kerlick, D.G., Klopfer, G.H. (1982): “Assessing the quality of curvilinear coordinate meshes by decomposing the Jacobian matrix”, in Numerical Grid Generation, ed. by J.F. Thompson (North-Holland, Amsterdam) pp. 787–807Google Scholar
  4. Steger, J.L. (1978): AIAA J. 16, 679–686CrossRefMATHADSGoogle Scholar
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  6. Thompson, J.F., Warsi, Z.U.A., Martin, C.W. (1985): Numerical Grid Generation, Foundations and Applications (North-Holland, Amsterdam)MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Clive A. J. Fletcher
    • 1
  1. 1.Department of Mechanical EngineeringThe University of SydneyNew South WalesAustralia

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