Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
