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Computing sensitivity coefficients by using complex differentiation: Application to heat conduction problem.

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Title: Computing sensitivity coefficients by using complex differentiation: Application to heat conduction problem.
Authors: Jayapragasam, Puvikkarasan1, Bideau, Pascal Le1, Loulou, Tahar1 tahar.loulou@univ-ubs.fr
Source: Numerical Heat Transfer: Part B -- Fundamentals. 2018, Vol. 74 Issue 5, p729-745. 17p.
Subjects: Heat conduction, Finite differences, Analytical solutions, Thermal conductivity, Sensitivity analysis, Arithmetic
Abstract: A simple and efficient computational method for Sensitivity Coefficient calculation is presented. Sensitivity analysis are carried out for a simple one-dimensional heat conduction problem with respect to two parameters: thermal conductivity (k) and volumetric heat capacity (c). Results obtained by finite difference and complex step differentiation are compared with analytical solution in non-dimensional form. With an arbitrary small step-size, the complex differentiation method can achieve near analytical accuracy in languages that support complex arithmetic. Further implementation of complex step differentiation in MATLAB environment is explained with some precautions. [ABSTRACT FROM AUTHOR]
Copyright of Numerical Heat Transfer: Part B -- Fundamentals is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 135544668
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Computing sensitivity coefficients by using complex differentiation: Application to heat conduction problem.
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  Data: <searchLink fieldCode="AR" term="%22Jayapragasam%2C+Puvikkarasan%22">Jayapragasam, Puvikkarasan</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Bideau%2C+Pascal+Le%22">Bideau, Pascal Le</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Loulou%2C+Tahar%22">Loulou, Tahar</searchLink><relatesTo>1</relatesTo><i> tahar.loulou@univ-ubs.fr</i>
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  Data: <searchLink fieldCode="JN" term="%22Numerical+Heat+Transfer%3A+Part+B+--+Fundamentals%22">Numerical Heat Transfer: Part B -- Fundamentals</searchLink>. 2018, Vol. 74 Issue 5, p729-745. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Heat+conduction%22">Heat conduction</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+differences%22">Finite differences</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+conductivity%22">Thermal conductivity</searchLink><br /><searchLink fieldCode="DE" term="%22Sensitivity+analysis%22">Sensitivity analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Arithmetic%22">Arithmetic</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: A simple and efficient computational method for Sensitivity Coefficient calculation is presented. Sensitivity analysis are carried out for a simple one-dimensional heat conduction problem with respect to two parameters: thermal conductivity (k) and volumetric heat capacity (c). Results obtained by finite difference and complex step differentiation are compared with analytical solution in non-dimensional form. With an arbitrary small step-size, the complex differentiation method can achieve near analytical accuracy in languages that support complex arithmetic. Further implementation of complex step differentiation in MATLAB environment is explained with some precautions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Numerical Heat Transfer: Part B -- Fundamentals is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1080/10407790.2019.1580047
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 17
        StartPage: 729
    Subjects:
      – SubjectFull: Heat conduction
        Type: general
      – SubjectFull: Finite differences
        Type: general
      – SubjectFull: Analytical solutions
        Type: general
      – SubjectFull: Thermal conductivity
        Type: general
      – SubjectFull: Sensitivity analysis
        Type: general
      – SubjectFull: Arithmetic
        Type: general
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      – TitleFull: Computing sensitivity coefficients by using complex differentiation: Application to heat conduction problem.
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            NameFull: Jayapragasam, Puvikkarasan
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            NameFull: Bideau, Pascal Le
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            – D: 01
              M: 11
              Text: 2018
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              Y: 2018
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              Value: 74
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            – TitleFull: Numerical Heat Transfer: Part B -- Fundamentals
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