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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 50, 2006 - Issue 6
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Original Articles

On the Solution Of Heterogeneous Heat Conduction Problems by a Diffuse Approximation Meshless Method

H. Sadat Laboratoire d'Etudes Thermiques, Poitiers, FranceCorrespondence[email protected]
,
N. Dubus Laboratoire d'Etudes Thermiques, Poitiers, France
,
L. Gbahoué Laboratoire d'Etudes Thermiques, Poitiers, France
&
T. Sophy Laboratoire de Recherche en Mécanique et Acoustique, Nevers, France
Pages 491-498 | Received 15 Jul 2005, Accepted 28 Feb 2006, Published online: 21 Dec 2006
 
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Abstract

A diffuse approximation-based collocation method is used to solve a two-dimensional heterogeneous heat conduction problem. It is shown that one has to take into account the neighbors of each neighbor of the calculation node in order to achieve sufficient accuracy in the case of strong heterogeneity.

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