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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 38, 2000 - Issue 1
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Original Articles

A FIXED-GRID FINITE-DIFFERENCE METHOD FOR PHASE-CHANGE PROBLEMS

Pages 59-73 | Published online: 29 Oct 2010

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Read on this site (9)

Manuel S. Romero-Cano, Antonio M. Puertas, Sabina Rosiek & F. J. Batlles. (2019) Kinetics of freezing and melting of encapsulated phase change materials with effective convection: Experiments and simulations. Numerical Heat Transfer, Part A: Applications 76:12, pages 909-924.
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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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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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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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Anahita Ayasoufi, RaminK. Rahmani & TheoG. Keith. (2009) Stefan Number-Insensitive Numerical Simulation of the Enthalpy Method for Stefan Problems Using the Space-Time CE/SE Method. Numerical Heat Transfer, Part B: Fundamentals 55:4, pages 257-272.
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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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Yih-Jena Jan & Tony Wen-Hann Sheu. (2007) A Cell-by-Cell, Thermally Driven, Mushy Cell Tracking Algorithm for Phase-Change Problems in Dendritic Solidification. Numerical Heat Transfer, Part B: Fundamentals 52:1, pages 69-105.
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Beathe Furenes & Bernt Lie. (2006) Using Event Location in Finite-Difference Methods for Phase-Change Problems. Numerical Heat Transfer, Part B: Fundamentals 50:2, pages 143-155.
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Articles from other publishers (24)

Zhihao Sun, Boyu Li, Chutong Zhou, Kang Luo & Jian Wu. (2023) Organic phase change materials melting with electrohydrodynamics (EHD): Numerical simulation and experimental validation. International Journal of Heat and Mass Transfer 217, pages 124646.
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Karel Desnijder & Marijke Vandewal. (2022) Numerical investigation of thermal effects of high-energy laser irradiation on a germanium lens. Numerical investigation of thermal effects of high-energy laser irradiation on a germanium lens.
B Horbaniuc, Gh Dumitraşcu & M Atanasiu. (2020) Finite-difference approach of ice build-up around a cylindrical pipe. IOP Conference Series: Materials Science and Engineering 997:1, pages 012146.
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Jing-En Xiao, Cheng-Yu Ku, Wei-Po Huang, Yan Su & Yung-Hsien Tsai. (2018) A Novel Hybrid Boundary-Type Meshless Method for Solving Heat Conduction Problems in Layered Materials. Applied Sciences 8:10, pages 1887.
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S.R. Dehghani, Y.S. Muzychka & G.F. Naterer. (2018) A finite difference solution for freezing brine on cold substrates of spongy ice. International Journal of Heat and Fluid Flow 69, pages 174-184.
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K.R. Sultana, S.R. Dehghani, K. Pope & Y.S. Muzychka. (2018) A review of numerical modelling techniques for marine icing applications. Cold Regions Science and Technology 145, pages 40-51.
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Alexey N. Volkov & Leonid V. Zhigilei. (2017) Melt dynamics and melt-through time in continuous wave laser heating of metal films: Contributions of the recoil vapor pressure and Marangoni effects. International Journal of Heat and Mass Transfer 112, pages 300-317.
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Jaronie Mohd Jani, Sunan Huang, Martin Leary & Aleksandar Subic. (2015) Numerical modeling of shape memory alloy linear actuator. Computational Mechanics 56:3, pages 443-461.
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Xiaoming Zhou, Zhiaquan Shu, Weiping Ding, Shelly Heimfeld, JaeHyun Chung, Pingan Du, Carolyn Liu & Dayong Gao. (2011) Heat transfer analysis for the design and application of the passive cooling rate controlled device—Box-in-box. International Journal of Heat and Mass Transfer 54:9-10, pages 2136-2143.
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BING WANG, HUIQIANG ZHANG & XILIN WANG. (2011) EVALUATION OF PARTICLE STOCHASTIC SEPARATED FLOW MODELS VIA LARGE EDDY SIMULATION. International Journal of Modern Physics C 21:07, pages 867-890.
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J. H. Brusche, A. Segal & C. Vuik. (2008) An efficient numerical method for solid–liquid transitions in optical rewritable recording. International Journal for Numerical Methods in Engineering 77:5, pages 702-718.
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Beathe Furenes & Bernt Lie. (2007) Robustness Test of Controlled Property Indirectly Measured from State Estimation: Application to a Solidification Process. Robustness Test of Controlled Property Indirectly Measured from State Estimation: Application to a Solidification Process.
Yih-Jena Jan. (2006) A cell-by-cell thermally driven mushy cell tracking algorithm for phase-change problems. Computational Mechanics 40:2, pages 201-216.
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Beathe Furenes & Bernt Lie. (2007) ROBUST CONTROL OF A SOLIDIFICATION PROCESS WITH PARAMETRIC UNCERTAINTY. IFAC Proceedings Volumes 40:5, pages 225-230.
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B. Furenes & B. Lie. (2006) Solidification and control of a liquid metal column. Simulation Modelling Practice and Theory 14:8, pages 1112-1120.
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Dominic Groulx & Marcel Lacroix. (2006) Study of close contact melting of ice from a sliding heated flat plate. International Journal of Heat and Mass Transfer 49:23-24, pages 4407-4416.
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P. Rath, J.C. Chai, H. Zheng, Y.C. Lam & V.M. Murukeshan. (2006) Total concentration approach for three-dimensional diffusion-controlled wet chemical etching. International Journal of Heat and Mass Transfer 49:19-20, pages 3408-3416.
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P. Rath, J.C. Chai, H. Zheng, Y.C. Lam & V.M. Murukeshan. (2006) Modeling two-dimensional diffusion-controlled wet chemical etching using a total concentration approach. International Journal of Heat and Mass Transfer 49:7-8, pages 1480-1488.
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J.H. Brusche, A. Segal, C. Vuik & H.P. Urbach. 2006. Numerical Mathematics and Advanced Applications. Numerical Mathematics and Advanced Applications 585 592 .
P. Rath, J.C. Chai, H. Zheng, Y.C. Lam, V.M. Murukeshan & H. Zhu. (2005) A fixed-grid approach for diffusion- and reaction-controlled wet chemical etching. International Journal of Heat and Mass Transfer 48:11, pages 2140-2149.
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B. Furenes & B. Lie. 2005. European Symposium on Computer-Aided Process Engineering-15, 38th European Symposium of the Working Party on Computer Aided Process Engineering. European Symposium on Computer-Aided Process Engineering-15, 38th European Symposium of the Working Party on Computer Aided Process Engineering 1339 1344 .
Haseung Chung & Suman Das. (2004) Numerical modeling of scanning laser-induced melting, vaporization and resolidification in metals subjected to step heat flux input. International Journal of Heat and Mass Transfer 47:19-20, pages 4153-4164.
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Madhuchhanda Bhattacharya, Tanmay Basak & K.G. Ayappa. (2002) A fixed-grid finite element based enthalpy formulation for generalized phase change problems: role of superficial mushy region. International Journal of Heat and Mass Transfer 45:24, pages 4881-4898.
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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. (2002) Heat transfer – a review of 2000 literature. International Journal of Heat and Mass Transfer 45:14, pages 2853-2957.
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