Adaptive differential quadrature element refinement analyses of fluid mechanics problems

Chang New Chen

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The differential quadrature element method (DQEM) has been proposed. The element weighting coefficient matrices are generated by the differential quadrature (DQ) or generic differential quadrature (GDQ). By using the DQ or GDQ technique and the mapping procedure the governing differential or partial differential equations, the transition conditions of two adjacent elements and the boundary conditions can be discretized. The overall algebraic equation system can be obtained by assembling all of the discretized equations. This method can convert a generic engineering or scientific problem having an arbitrary domain configuration into a computer algorithm. The DQEM analysis can be carried out by the adaptive refinement procedure. The development of adaptive DQEM refinement analysis procedure for fluid mechanics problems is carried out. Numerical results are presented.

Original languageEnglish
Pages (from-to)47-63
Number of pages17
JournalComputer Methods in Applied Mechanics and Engineering
Volume180
Issue number1-2
DOIs
Publication statusPublished - 1999 Nov 15

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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