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A meshless finite difference method for conjugate heat conduction problems / Chandrashekhar Varanasi in Journal of heat transfer, Vol. 132 N° 8 (Août 2010) 

Public ISBD [article]  in Journal of heat transfer > Vol. 132 N° 8 (Août 2010) . - pp. [081303-1/13] Titre : A meshless finite difference method for conjugate heat conduction problems Type de document : texte imprimé Auteurs : Chandrashekhar Varanasi, Auteur ; Jayathi Y. Murthy, Auteur ; Sanjay Mathur, Auteur Article en page(s) : pp. [081303-1/13] Note générale : Physique Langues : Anglais (eng) Mots-clés : Finite  point  method  Weighted  least-squares  Conjugate  heat  conduction Index. décimale : 536 Chaleur. Thermodynamique Résumé : A meshless finite difference method is developed for solving conjugate heat transfer problems. Starting with an arbitrary distribution of mesh points, derivatives are evaluated using a weighted least-squares procedure. The resulting system of algebraic equations is sparse and is solved using an algebraic multigrid method. The implementation of the Neumann, Dirichlet, and mixed boundary conditions within this framework is described. For conjugate heat transfer problems, continuity of the heat flux and temperature are imposed on mesh points at multimaterial interfaces. The method is verified through application to classical heat conduction problems with known analytical solutions. It is then applied to the solution of conjugate heat transfer problems in complex geometries, and the solutions so obtained are compared with more conventional unstructured finite volume methods. The method improves on existing meshless methods for conjugate heat conduction by eliminating spurious oscillations previously observed. Metrics for accuracy are provided and future extensions are discussed. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&ONLINE=YES&smode= [...] [article] A meshless finite difference method for conjugate heat conduction problems [texte imprimé] / Chandrashekhar Varanasi, Auteur ; Jayathi Y. Murthy, Auteur ; Sanjay Mathur, Auteur . - pp. [081303-1/13]. Physique Langues : Anglais (eng) in Journal of heat transfer > Vol. 132 N° 8 (Août 2010) . - pp. [081303-1/13] Mots-clés : Finite  point  method  Weighted  least-squares  Conjugate  heat  conduction Index. décimale : 536 Chaleur. Thermodynamique Résumé : A meshless finite difference method is developed for solving conjugate heat transfer problems. Starting with an arbitrary distribution of mesh points, derivatives are evaluated using a weighted least-squares procedure. The resulting system of algebraic equations is sparse and is solved using an algebraic multigrid method. The implementation of the Neumann, Dirichlet, and mixed boundary conditions within this framework is described. For conjugate heat transfer problems, continuity of the heat flux and temperature are imposed on mesh points at multimaterial interfaces. The method is verified through application to classical heat conduction problems with known analytical solutions. It is then applied to the solution of conjugate heat transfer problems in complex geometries, and the solutions so obtained are compared with more conventional unstructured finite volume methods. The method improves on existing meshless methods for conjugate heat conduction by eliminating spurious oscillations previously observed. Metrics for accuracy are provided and future extensions are discussed. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&ONLINE=YES&smode= [...]