Analytical shape sensitivity by implicit differentiation for general velocity fields

M. Yatheendhar, A. D. Belegundu

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


A simple approach for analytical shape sensitivity analysis is presented. The shape sensitivity expressions are separated from the velocity fields. This allows independent, general specification of velocity fields. Coordinate independent calculations are not repeated in the shape design loop. The procedure is implemented for two- and three-dimensional optimization problems and significant savings in computational time are demonstrated over the pure divided-differences approach to obtaining shape sensitivities.

Original languageEnglish (US)
Pages (from-to)617-623
Number of pages7
JournalComputers and Structures
Issue number4
StatePublished - Feb 17 1993

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • General Materials Science
  • Computer Science Applications
  • Civil and Structural Engineering
  • Modeling and Simulation


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