A non-linear fin design problem in determining the optimum shape of spine and longitudinal fins

Cheng-Hung Huang, Jan Hsiang Hsiao

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A non-linear fin design algorithm is applied to estimate the optimum shapes for the spine and longitudinal fins by using the conjugate gradient method (CGM) based on the desired fin efficiency and fin volume. One of the advantages in using CGM in the inverse design problem lies in that it can handle problems having a large number of unknown parameters easily and converges very fast. The validity of the present algorithm by using the CGM to solve the non-linear fin design problem is justified based on numerical experiments. Results show that the optimum fin shapes can always be obtained.

Original languageEnglish
Pages (from-to)111-124
Number of pages14
JournalCommunications in Numerical Methods in Engineering
Volume19
Issue number2
DOIs
Publication statusPublished - 2003 Feb 1

Fingerprint

Conjugate gradient method
Spine
Conjugate Gradient Method
Algorithm Design
Unknown Parameters
Numerical Experiment
Converge
Estimate
Design
Experiments

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Engineering(all)
  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

@article{fbee1a40f061497490b77d5d554a1d02,
title = "A non-linear fin design problem in determining the optimum shape of spine and longitudinal fins",
abstract = "A non-linear fin design algorithm is applied to estimate the optimum shapes for the spine and longitudinal fins by using the conjugate gradient method (CGM) based on the desired fin efficiency and fin volume. One of the advantages in using CGM in the inverse design problem lies in that it can handle problems having a large number of unknown parameters easily and converges very fast. The validity of the present algorithm by using the CGM to solve the non-linear fin design problem is justified based on numerical experiments. Results show that the optimum fin shapes can always be obtained.",
author = "Cheng-Hung Huang and Hsiao, {Jan Hsiang}",
year = "2003",
month = "2",
day = "1",
doi = "10.1002/cnm.575",
language = "English",
volume = "19",
pages = "111--124",
journal = "International Journal for Numerical Methods in Biomedical Engineering",
issn = "2040-7939",
publisher = "Wiley-Blackwell",
number = "2",

}

A non-linear fin design problem in determining the optimum shape of spine and longitudinal fins. / Huang, Cheng-Hung; Hsiao, Jan Hsiang.

In: Communications in Numerical Methods in Engineering, Vol. 19, No. 2, 01.02.2003, p. 111-124.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A non-linear fin design problem in determining the optimum shape of spine and longitudinal fins

AU - Huang, Cheng-Hung

AU - Hsiao, Jan Hsiang

PY - 2003/2/1

Y1 - 2003/2/1

N2 - A non-linear fin design algorithm is applied to estimate the optimum shapes for the spine and longitudinal fins by using the conjugate gradient method (CGM) based on the desired fin efficiency and fin volume. One of the advantages in using CGM in the inverse design problem lies in that it can handle problems having a large number of unknown parameters easily and converges very fast. The validity of the present algorithm by using the CGM to solve the non-linear fin design problem is justified based on numerical experiments. Results show that the optimum fin shapes can always be obtained.

AB - A non-linear fin design algorithm is applied to estimate the optimum shapes for the spine and longitudinal fins by using the conjugate gradient method (CGM) based on the desired fin efficiency and fin volume. One of the advantages in using CGM in the inverse design problem lies in that it can handle problems having a large number of unknown parameters easily and converges very fast. The validity of the present algorithm by using the CGM to solve the non-linear fin design problem is justified based on numerical experiments. Results show that the optimum fin shapes can always be obtained.

UR - http://www.scopus.com/inward/record.url?scp=0037293518&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037293518&partnerID=8YFLogxK

U2 - 10.1002/cnm.575

DO - 10.1002/cnm.575

M3 - Article

VL - 19

SP - 111

EP - 124

JO - International Journal for Numerical Methods in Biomedical Engineering

JF - International Journal for Numerical Methods in Biomedical Engineering

SN - 2040-7939

IS - 2

ER -