Extended Truncated Hierarchical Catmull-Clark Subdivision

Abstract

In this paper we present an extended Truncated Hierarchical Catmull-Clark Subdivision (eTHCCS) method, which improves the eciency of local refinement in Truncated Hierarchical Catmull-Clark Subdivision (THCCS). We first generalize Stams Catmull-Clark basis functions for elements with more than one extraordinary node. In this manner we build a set of basis functions over arbitrary quadrilateral meshes and enable isogeometric analysis on such meshes without any preprocessing. Then, a new basis-function-insertion scheme is developed with the aid of the truncation mechanism, which refines one-ring neighboring elements rather than two-ring neighborhoods. Therefore, eTHCCS significantly improves the eciency of local refinement compared with THCCS, as demonstrated by one benchmark problem and several complex models. Moreover, eTHCCS is also proved to preserve the input geometry and produce nested spaces.

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Document Details

Document Type
Technical Report
Publication Date
May 08, 2015
Accession Number
AD1000130

Entities

People

  • Xiaodong Wei

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Construction
  • Coordinate Systems
  • Efficiency
  • Engineering
  • Environmental Engineering
  • Equations
  • Errors
  • Geometry
  • Mechanical Engineering
  • Refining
  • Simulations
  • Topology
  • Truncation
  • Two Dimensional
  • United States
  • Universities

Fields of Study

  • Computer science

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space