On the solution of an inverse natural convection problem using various conjugate gradient methods
| Autor: | H. M. Park, O. Y. Chung |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Nonlinear conjugate gradient method
Numerical Analysis Biconjugate gradient method Natural convection Applied Mathematics Conjugate gradient method Mathematical analysis General Engineering Conjugate residual method Derivation of the conjugate gradient method Gradient descent Gradient method Mathematics |
| Zdroj: | International Journal for Numerical Methods in Engineering. 47:821-842 |
| ISSN: | 1097-0207 0029-5981 |
| DOI: | 10.1002/(sici)1097-0207(20000210)47:4<821::aid-nme799>3.0.co;2-k |
| Popis: | The inverse problem of determining the time-varying strength of a heat source, which causes natural convection in a two-dimensional cavity, is considered. The Boussinesq equation is used to model the natural convection induced by the heat source. The inverse natural convection problem is solved through the minimization of a performance function utilizing the conjugate gradient method. The gradient of the performance function needed in the minimization procedure of the conjugate gradient method is obtained by employing either the adjoint variable method or the direct differentiation method. The accuracy and efficiency of these two methods are compared, and a new method is suggested that exploits the advantageous aspects of both methods while avoiding the shortcomings of them. Copyright © 2000 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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