A fast mesh deformation method using explicit interpolation

  • Authors:
  • Edward Luke;Eric Collins;Eric Blades

  • Affiliations:
  • Department of Computer Science and Engineering, Box 9637, Mississippi State University, MS 39762, United States;Center for Advanced Vehicular Systems, Box 9627, Mississippi State University, MS 39762, United States;ATA Engineering, Huntsville Al, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2012

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Abstract

A novel mesh deformation algorithm for unstructured polyhedral meshes is developed utilizing a tree-code optimization of a simple direct interpolation method. The algorithm is shown to provide mesh quality that is competitive with radial basis function based methods, with markedly better performance in preserving boundary layer orthogonality in viscous meshes. The parallelization of the algorithm is described, and the algorithm cost is demonstrated to be O(nlogn). The parallel implementation was used to deform meshes of 100 million nodes on nearly 200 processors demonstrating that the method scales to large mesh sizes. Results are provided for a simulation of a high Reynolds number fluid-structure interaction case using this technique.