Resequence Command

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The Resequence command is used to renumber the numbers in an attempt to minimize the bandwidth of the problem. The smaller the bandwidth, the faster will be the FEA calculations.

Scripted Input Files

The two options in scripted input files are

Resequence (x),(y)

or

Resequence (id)

where

  • (x, y) define the coordinates (in mm) for a point (or (R,Z) coordinates if axisymmetric). The resequencing will start at the one node nearest to that point.
  • (id) is a previously defined keypoint. The resequencing will start at the node at that keypoint.

XML Input Files

In XML files, the two options, which must be the last command in the single [[FEA Boundary Conditions#XML Input Files|<GridBCs> block], are:

<Resequence x='(x)' y='(y)'/>

or

<Resequence keypt='(id)'/>

where (x), (y), and (id) are the same as defined above.

Notes

  1. It is best to start the resequencing at a node on the boundary of the object and probably on a corner. The final bandwidth may depend on the node selected for resequencing. The bandwidth is reported in FEA output results. You can vary the resequencing node to find the minimum value.
  2. Another use of this command is to verify mesh connectivity. Since disconnected sections of a static FEA mesh will cause a singular stiffness matrix, the calculations will fail. If you use a Resequence command on a disconnected mesh, it will detect the problem and abort the calculations.
  3. The algorithm used to resequence the nodes in described in a paper by Gibbs, Poole, and Stockmeyer.[1]

References

  1. N. E. Gibbs, W. G. Poole, and P. K. Stockmeyer, "An Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix," SIAM Journal of Numerical Analysis, 13, 236-250 (1976).