Solution Adapted Time-Steps

  • Paul G. Tucker


For many years, when solving general Ordinary Differential Equations (ODEs), temporal type solution adaptive approaches have been used in many scientific fields. Also, when solving the fluid flow equations spatial adaptations have seen significant use (such methods are outlined in Section 3–6). Both approaches can involve the variation of step lengths, discretization orders or a combination of the two. Where there are relatively high dependent variable gradients, either step lengths must be reduced or discretization orders increased. For low solution gradients the opposite action must be taken. In this way, the best computational efficiency can be achieved.


Coarse Grid Solution Error High Order Scheme Spatial Adaptation Diagonal Dominance 
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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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Paul G. Tucker
    • 1
  1. 1.Fluid Dynamics Research CentreThe University of WarwickUK

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