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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 65, 2014 - Issue 1
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Original Articles

Fixed-Grid Modeling of Solid-Liquid Phase Change in Unstructured Meshes Using Explicit Time Schemes

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Pages 27-52 | Received 20 Jun 2013, Accepted 01 Aug 2013, Published online: 09 Nov 2013

REFERENCES

  • L. S. Yao and J. Prusa , Advances in Heat Transfer, Melting and Freezing , vol. 19 , Elsevier , Amsterdam , 1989 .
  • A. Gil , M. Medrano , I. Martorell , A. Lázaro , P. Dolado , B. Zalba , and L. F. Cabeza , State of the Art on High Temperature Thermal Energy Storage for Power Generation. Part 1—Concepts, Materials and Modellization , Renew. Sust. Energy Rev. , no. 14 , pp. 31 – 55 , 2010 .
  • B. Zalba , J. M. Marín , L. F. Cabeza , and H. Mehling , Review on Thermal Energy Storage with Phase Change: Materials, Heat Transfer Analysis and Applications , Appl. Thermal Eng. , no. 23 , pp. 251 – 283 , 2003 .
  • J. Stefan , Ueber die Theorie der Eisbildung, insbesondere ueber die Eisbildung im Polarmeere , Ann. Physik Chemie , vol. 42 , pp. 269 – 286 , 1891 .
  • “Stefan Problem,” www.encyclopediaofmath.org/index.php?title=Stefan_problem&oldid=15955. Encyclopedia of Mathematics .
  • V. Voller and C. Prakash , A Fixed Grid Numerical Modelling Methodology for Convection-Diffusion Mushy Region Phase Change Problems , Int. J. Heat Mass Transfer , vol. 30 , pp. 1709 – 1719 , 1987 .
  • G. Beckett , J. A. Mackenzie , and M. L. Robertson , A Moving Mesh Finite Element Method for the Solution of Two-Dimensional Stefan Problems , J. Comput. Phys. , vol. 168 , pp. 500 – 518 , 2001 .
  • H. S. Udaykumar , R. Mittal , and W. Shyy , Computation of Solid-Liquid Phase Fronts in the Sharp Interface Limit on Fixed Grids , J. Comput. Phys. , vol. 153 , pp. 535 – 574 , 1999 .
  • R. Viswanath and Y. Jaluria , A Comparison of Different Solution Methodologies for Melting and Solidification Problems in Enclosures , Numer. Heat Transfer B , vol. 24 , pp. 77 – 105 , 1993 .
  • A. D. Brent , V. R. Voller , and K. J. Reid , Enthalpy-Porosity Technique for Modelling Convection-Diffusion Phase Change: Application to the Melting of a Pure Metal, Numer. Heat Transfer , vol. 13, pp. 297–318, 1988.
  • M. Costa , A. Oliva , C. D. Pérez-Segarra , and R. Alba , Numerical Simulation of Solid-Liquid Phase Change Phenomena , Comput. Meth. Appl. Mech. Eng. , vol. 91 , no. 1–3 , pp. 1123 – 1134 , 1991 .
  • F. L. Tan , S. F. Hosseinizadeh , J. M. Khodadadi , and L. Fan , Experimental and Computational Study of Constrained Melting of Phase Change Materials (PCM) Inside a Spherical Capsule , Int. J. Heat Mass Transfer , vol. 52 , pp. 3464 – 3472 , 2009 .
  • D. A. Nield and A. Bejan , Convection in Porous Media, , 3d ed. , Chap 1 , Springer-Verlag , Berlin , 2006 .
  • O. Lehmkuhl , C. D. Pérez-Segarra , R. Borrell , M. Soria , and A. Oliva , TERMOFLUIDS: A New Parallel Unstructured CFD Code for The Simulation Of Turbulent Industrial Problems on Low Cost PC Cluster , Lect. Notes Comput. Sci. Eng. , vol. 67 , pp. 275 – 282 , 2009 .
  • O. Lehmkuhl , Numerical Resolution of Turbulent Flows on Complex Geometries, Ph.D. thesis, Universitat Politècnica de Catalunya, Spain 2012.
  • R. W. C. P. Verstappen and A. E. P. Veldman , Symmetry-Preserving Discretization of Turbulent Flow , J. Eng. Math. , vol. 187 , no. 1 , pp. 343 – 368 , 2003 .
  • F. N. Felten and T. S. Lund , Kinetic Energy Conservation Issues Associated with the Collocated Mesh Scheme for Incompressible Flow , J. Comput. Phys. , vol. 215 , no. 2 , pp. 465 – 484 , 2006 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Chap. 5 , Hemisphere , Washington , DC , 1980 .
  • P. M. Gresho and R. L. Sani , On Pressure Boundary Conditions for the Incompressible Navier-Stokes Equations , Int. J. Numer. Meth. Fluids , vol. 7 , pp. 1111 – 1145 , 1987 .
  • C. Gau and R. Viskanta , Melting and Solidification of a Pure Metal on a Vertical Wall , J. Heat Transfor—Trans. ASME , vol. 108 , pp. 174 – 181 , 1986 .
  • B. Vidal , Modelización del Cambio de Fase sólido Líquido. Aplicación a Sistemas de Acumulación de Energia térmica. Ph.D. thesis, Universitat Politècnica de Catalunya, Spain, 2007.
  • N. Hannoun , V. Alexiades , and Z. T. Mai , Resolving the Controversy over Tin and Gallium Melting in a Rectangular Cavity Heated from the Side , Numer. Heat Transfer B , vol. 44 , pp. 253 – 276 , 2003 .
  • F. Wolff and R. Viskanta , Melting of a Pure Metal from a Vertical Wall , Exp. Heat Transfer , vol. 1 , pp. 17 – 30 , 1987 .
  • D. Mansutti and E. Bucchignani , On the Importance of Solid Deformations in Convection-Dominated-Liquid/Solid Phase Change of Pure Materials , Appl. Math. , vol. 56 , no. 1 , pp. 117 – 136 , 2011 .
  • F. L. Tan , Constrained and Unconstrained Melting Inside a Sphere , Int. Commun. Heat Mass Transfer , vol. 35 , pp. 466 – 475 , 2008 .

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