Spurious entropy generation as a mesh quality indicator

  • J. G. Andrews
  • K. W. Morton
3. Numerical Methods and Algorithms b) Grids/Acceleration Techniques
Part of the Lecture Notes in Physics book series (LNP, volume 453)


We present an a posteriori error sensor for inviscid, compressible flow. The error sensor is based on an analysis of the phenomenon of spurious entropy generation. We apply the estimator to the case of a Cell Vertex discretisation on quadrilaterals. On the basis of the resulting estimates the mesh points are moved using a hybrid equidistribution method known as the LPE method. The modified meshes are shown to be greatly improved, in the sense that pressure loss and spurious entropy generation are reduced. For subcritical flows, drag is also reduced.


Compressible Flow Global Error Inviscid Flow Finite Volume Scheme Leibnitz Rule 
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    Catherall, D. (1993): “Solution Adaptivity with Structured Grids”, Numerical Methods for Fluid Dynamics IV, Ed. Baines M.J. and Morton K.W., pp 19–37, Oxford University Press 1993Google Scholar
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    Crumpton, P.I.; Mackenzie, J.A. and Morton, K.W. (1993): “ Cell Vertex Algorithms for the Compressible Navier-Stokes Equations”, Journal of Computational Physics, 109:1–15, 1993.CrossRefGoogle Scholar
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    Mackenzie, J.A.; Mayers, D.F. and Mayfield, A.J. (1992): “Error Estimates and Mesh Adaption for a Cell Vertex Finite Volume Scheme”, Oxford University Computing Laboratory Report No. 92/10Google Scholar
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    Morton, K.W. and Paisley, M.F. (1989): “A Finite Volume Scheme with Shock Fitting for the Steady Euler Equations”, Journal of Computational Physics, 80:168–203,1989CrossRefGoogle Scholar
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    Süli, E. (1992): “The Accuracy of Cell Vertex Finite Volume Methods on Quadrilateral Meshes”, Mathematics of Computation, 59(200):359–382, 1992Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • J. G. Andrews
    • 1
  • K. W. Morton
    • 1
  1. 1.Oxford University Computing Laboratory Wolfson BuildingUnited Kingdom

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