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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 51, 2007 - Issue 6
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Original Articles

An Implicit Fixed-Grid Method for the Finite-Element Analysis of Heat Transfer Involving Phase Changes

E. Feulvarch ESI France, Lyon Cedex, France
&
J.-M. Bergheau Laboratoire de Tribologie et Dynamique des Systèmes, CNRS/ECL/ENISE, St., Etienne Cedex, FranceCorrespondence[email protected]
Pages 585-610 | Received 11 Jul 2006, Accepted 04 Oct 2006, Published online: 11 May 2007

Citations (21)

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Read on this site (10)

Wei-An Yao, Zi-Hao Wang, Chong Zuo & Xiao-Fei Hu. (2019) Precise time-domain expanding boundary element method for solving phase change problems. Numerical Heat Transfer, Part B: Fundamentals 76:4, pages 203-223.
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K. R. Sultana, S. R. Dehghani, K. Pope & Y. S. Muzychka. (2018) Numerical techniques for solving solidification and melting phase change problems. Numerical Heat Transfer, Part B: Fundamentals 73:3, pages 129-145.
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Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
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E Feulvarch, V Robin & J M Bergheau. (2011) Thermometallurgical and mechanical modelling of welding – application to multipass dissimilar metal girth welds. Science and Technology of Welding and Joining 16:3, pages 221-231.
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Gaobiao Xiao, Luo Zhang & Yue Zhou. (2011) Generalized Heat Transition Matrix for Arbitrarily Shaped Thermal Media and Its Applications to Steady-State Heat Conduction Problems in Large-Scale Systems. Numerical Heat Transfer, Part B: Fundamentals 59:4, pages 319-338.
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Gaobiao Xiao, Luo Zhang, Yue Zhou & Junfa Mao. (2011) Equivalence Principle for Analyzing Steady-State Heat Conduction Problems. Numerical Heat Transfer, Part B: Fundamentals 59:3, pages 226-244.
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Harishchandra Thakur, K.M. Singh & P.K. Sahoo. (2011) Phase Change Problems Using the MLPG Method. Numerical Heat Transfer, Part A: Applications 59:6, pages 438-458.
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Seid Koric, BrianG. Thomas & VaughanR. Voller. (2010) Enhanced Latent Heat Method to Incorporate Superheat Effects into Fixed-Grid Multiphysics Simulations. Numerical Heat Transfer, Part B: Fundamentals 57:6, pages 396-413.
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B. Wang, H. Q. Zhang & X. L. Wang. (2009) A Time-Series Stochastic Separated Flow (TSSSF) Model for Turbulent Two-Phase Flows. Numerical Heat Transfer, Part B: Fundamentals 55:1, pages 73-90.
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P. Rath & J. C. Chai. (2007) Modeling Convection-Driven Diffusion-Controlled Wet Chemical Etching Using a Total-Concentration Fixed-Grid Method. Numerical Heat Transfer, Part B: Fundamentals 53:2, pages 143-159.
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Articles from other publishers (11)

Andreas König-Haagen, Erwin Franquet, Eric Pernot & Dieter Brüggemann. (2017) A comprehensive benchmark of fixed-grid methods for the modeling of melting. International Journal of Thermal Sciences 118, pages 69-103.
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Luis E. Criales, Yiğit M. Arısoy & Tuğrul Özel. (2016) Sensitivity analysis of material and process parameters in finite element modeling of selective laser melting of Inconel 625. The International Journal of Advanced Manufacturing Technology 86:9-12, pages 2653-2666.
Crossref
Vincent Robin. 2014. Thermomechanical Industrial Processes. Thermomechanical Industrial Processes 1 74 .
C. Primault, G. Tirand, F. Gommez & V. Robin. (2014) Établissement d’un critère numérique de fissuration à froid. Matériaux & Techniques 102:4, pages 408.
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Mahmoud Yaakoubi, Mounir Kchaou & Fakhreddine Dammak. (2013) Simulation of the thermomechanical and metallurgical behavior of steels by using ABAQUS software. Computational Materials Science 68, pages 297-306.
Crossref
Eric Feulvarch, Jean-Christophe Roux & Jean-Michel Bergheau. (2013) Theoretical Framework of a Variational Formulation for Nonlinear Heat Transfer with Phase Changes. Mathematical Problems in Engineering 2013, pages 1-6.
Crossref
Germán Ferreira, Ana M. López-Sabirón & Alfonso Aranda-Usón. 2013. Industrial and Technological Applications of Transport in Porous Materials. Industrial and Technological Applications of Transport in Porous Materials 171 188 .
Eric Feulvarch, Jean-Christophe Roux & Jean-Michel Bergheau. (2012) Finite element solution for diffusion–convection problems with isothermal phase changes. Comptes Rendus Mécanique 340:7, pages 512-517.
Crossref
Eric Feulvarch, Jean-Christophe Roux & Jean-Michel Bergheau. (2011) An enriched finite element algorithm for the implicit simulation of the Stefan problem. Comptes Rendus Mécanique 339:10, pages 649-654.
Crossref
Éric Feulvarch, Jean-Christophe Roux & Jean-Michel Bergheau. (2010) 1D modelling of internal oxidation phenomena with X-FEM. Mécanique & Industries 11:3-4, pages 245-248.
Crossref
Jean-Michel Bergheau & Roland Fortunier. 2008. Finite Element Simulation of Heat Transfer. Finite Element Simulation of Heat Transfer 269 275 .

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