Time-dependent non-uniform grids for parabolic equations

  • P. Orlandi
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 218)


A method based on a time dependent coordinate transformation has been applied to solve Burgers' equation. The numerical solution has been compared to the analytical solution of Lighthill [1]. The numerical results agree completely with the analytical ones. They have been obtained with very large time steps because a fast implicit non-iterative algorithm has been employed for the time discretization. The number of grid points in the space discretization is very low because the coordinate transformation gives a steady shock in the “new” coordinate.


Grid Point Coordinate Transformation Error Distribution Mesh Point Implicit Scheme 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • P. Orlandi
    • 1
  1. 1.Dipartimento di Meccanica e AeronauticaUniversità degli Studi di Roma “La Sapienza”Italy

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