Analytical shape sensitivity by implicit differentiation for general velocity fields

M. Yatheendhar; A. D. Belegundu

doi:10.1016/0045-7949(93)90390-Y

Analytical shape sensitivity by implicit differentiation for general velocity fields

M. Yatheendhar, A. D. Belegundu

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	617-623
Number of pages	7
Journal	Computers and Structures
Volume	46
Issue number	4
DOIs	https://doi.org/10.1016/0045-7949(93)90390-Y
State	Published - Feb 17 1993

All Science Journal Classification (ASJC) codes

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

Access to Document

10.1016/0045-7949(93)90390-Y

Cite this

@article{a3029d785529445f926cb9e344ad6289,

title = "Analytical shape sensitivity by implicit differentiation for general velocity fields",

abstract = "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.",

author = "M. Yatheendhar and Belegundu, {A. D.}",

year = "1993",

month = feb,

day = "17",

doi = "10.1016/0045-7949(93)90390-Y",

language = "English (US)",

volume = "46",

pages = "617--623",

journal = "Computers and Structures",

issn = "0045-7949",

publisher = "Elsevier Ltd",

number = "4",

}

TY - JOUR

T1 - Analytical shape sensitivity by implicit differentiation for general velocity fields

AU - Yatheendhar, M.

AU - Belegundu, A. D.

PY - 1993/2/17

Y1 - 1993/2/17

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0027542972&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027542972&partnerID=8YFLogxK

U2 - 10.1016/0045-7949(93)90390-Y

DO - 10.1016/0045-7949(93)90390-Y

M3 - Article

AN - SCOPUS:0027542972

SN - 0045-7949

VL - 46

SP - 617

EP - 623

JO - Computers and Structures

JF - Computers and Structures

IS - 4

ER -

Analytical shape sensitivity by implicit differentiation for general velocity fields

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this