A finite element method for three-dimensional unstructured grid smoothing

  • Authors:

  • Glen Hansen;Andrew Zardecki;Doran Greening;Randy Bos

  • Affiliations:

  • Computational Science Methods Group, Applied Physics Division, MS F645, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;Computational Science Methods Group, Applied Physics Division, MS F645, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;Materials Science Group, Applied Physics Division, MS F699, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;Materials Science Group, Applied Physics Division, MS F699, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2005

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Abstract

The finite element method is applied to grid smoothing in three-dimensional geometry, generalizing earlier results obtained for planar geometry. The underlying set of equations for the Cartesian components of grid coordinates, based on the notion of harmonic coordinates, has a natural variational formulation. To estimate the target metric tensor that drives the elliptic grid equations, the metric tensor components are computed on a coarse-grained grid. Numerical examples illustrating the proposed approach are presented together with results from the smoothness functional, which is used to measure the quality of the resulting grid.