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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 34, 1998 - Issue 3
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NUMERICAL HEAT TRANSPER

DIFFUSE APPROXIMATION AND CONTROL-VOLUME-BASED FINITE-ELEMENT METHODS: A COMPARATIVE STUDY

C. Prax Laboratoire d'Etudes Ae´rodynamiques, UMR CNRS 6809 40Avenue du Recteur Pineau, Poitiers cedex, 86022, France
,
P. Salagnac Laboratoire Energetique et Thermique Industrielle, UBS, 4 rue Jean Zay, Lorient, cedex, 56325, France
&
H. Sadat Laboratoire d'Etudes Thermiques, UMR CNRS 6608, ENSMA, Site du futuroscope, Futuroscope, cedex, 86960, France
Pages 303-321 | Received 15 Feb 1996, Accepted 10 Apr 1998, Published online: 27 Mar 2007

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Cheng-An Wang, Hamou Sadat & Jian-Yu Tan. (2014) First-Order and Second-Order Meshless Formulations of the Radiative Transfer Equation: A Comparative Study. Numerical Heat Transfer, Part B: Fundamentals 66:1, pages 21-42.
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T. Sophy, H. Sadat & C. Prax. (2002) A MESHLESS FORMULATION FOR THREE-DIMENSIONAL LAMINAR NATURAL CONVECTION. Numerical Heat Transfer, Part B: Fundamentals 41:5, pages 433-445.
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Tonino Sophy & Hamou Sadat. (2002) On the Numerical Solution of Unsteady Fluid Flow Problems by a Meshless Method. Revue Européenne des Éléments Finis 11:7-8, pages 989-1004.
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Articles from other publishers (15)

V. Le Dez, M. Lazard & J.S. Djeumegni. (2021) Determination of the surfaces radiosity temperatures in a square cavity with a square inner centred obstacle and a non-isothermal absorbing-emitting medium. International Journal of Thermal Sciences 165, pages 106953.
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V. Le Dez, H. Sadat & C. Prax. (2018) Radiative heat transfer in an absorbing-emitting semi-transparent medium enclosed in a two-dimensional parallelogram cavity with diffuse reflecting boundaries. International Journal of Thermal Sciences 134, pages 392-409.
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E. Dabboura, H. Sadat & C. Prax. (2016) A moving least squares meshless method for solving the generalized Kuramoto-Sivashinsky equation. Alexandria Engineering Journal 55:3, pages 2783-2787.
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Cheng-An Wang & Jian-Yu Tan. (2015) One-Dimensional Transient Radiative Transfer in Complex Semitransparent Medium by Meshless Method. Journal of Thermophysics and Heat Transfer 29:3, pages 610-619.
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Cheng-An Wang, Hamou Sadat & Vital Le Dez. (2012) Meshless method for solving multidimensional radiative transfer in graded index medium. Applied Mathematical Modelling 36:11, pages 5309-5319.
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Cheng-An Wang, Hamou Sadat & Christian Prax. (2012) A new meshless approach for three dimensional fluid flow and related heat transfer problems. Computers & Fluids 69, pages 136-146.
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Hamou Sadat, Cheng-An Wang & Vital Le Dez. (2012) Meshless method for solving coupled radiative and conductive heat transfer in complex multi-dimensional geometries. Applied Mathematics and Computation 218:20, pages 10211-10225.
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K. Reuther, B. Sarler & M. Rettenmayr. (2012) Solving diffusion problems on an unstructured, amorphous grid by a meshless method. International Journal of Thermal Sciences 51, pages 16-22.
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C. Prax & H. Sadat. (2011) A low-order meshless model for multidimensional heat conduction problems. Applied Mathematical Modelling 35:10, pages 4926-4933.
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H. Sadat & C. Prax. (2011) Improved low-order models for heat conduction problems. International Journal of Heat and Mass Transfer 54:15-16, pages 3789-3795.
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C. Prax & H. Sadat. (2011) Thermomagnetic Convection Around a Hot Circular Cylinder in a Square Cold Enclosure. Journal of Thermophysics and Heat Transfer 25:2, pages 291-297.
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Vital Le Dez & Hamou Sadat. (2011) Radiative heat transfer in a semi-transparent medium enclosed in a two-dimensional square cavity. Journal of Quantitative Spectroscopy and Radiative Transfer 112:5, pages 847-863.
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N. B. Petrovskaya. (2010) Data dependent weights in discontinuous weighted least-squares approximation with anisotropic support. Calcolo 48:1, pages 127-143.
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Tonino Sophy, Hamou Sadat & Roger Bouard. (2002) Calcul de l'écoulement autour d'un cylindre semi-circulaire par une méthode de collocation. Comptes Rendus Mécanique 330:3, pages 193-198.
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R.J Goldstein, E.R.G Eckert, W.E Ibele, S.V Patankar, T.W Simon, T.H Kuehn, P.J Strykowski, K.K Tamma, A Bar-Cohen, J.V.R Heberlein, J.H Davidson, J Bischof, F.A Kulacki, U Kortshagen & S Garrick. (2001) Heat transfer: a review of 1998 literature. International Journal of Heat and Mass Transfer 44:2, pages 253-366.
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