APPLICATION OF BROYDEN'S METHOD TO THE ENTHALPY METHOD FOR PHASE CHANGE PROBLEMS

REFERENCES

• V. Alexiade and A. D. Solomon , Mathematical Modelling of Melting and Freezing Processes , Hemisphere , Washington , D.C. , 1993 .
   Google Scholar
• J. Crank , Free and Mooing Boundary Problems , Clarendon Press , Oxford , 1984 .
   Google Scholar
• H. S. Carslaw and J. C. Jaeger , Conduction of Heat in Solids, , 2nd ed., Clarendon Press , Oxford , 1965 .
   Google Scholar
• J. M. Hill , One-Dimensional Stefan Problem An introduction , Longman Scientific and Technical , Essex , 1987 .
   Google Scholar
• R. E. White , An Enthalpy Formulation of the Stefan Problem , SLAM J. Numer. Anal. , vol. 19 , pp. 1129 – 1157 , 1982 .
   Web of Science ®Google Scholar
• V. R. Voller and C. R. Swaminathan , General Source-Based Method for Solidification Phase Change , Numer. Heat Transfer Part B , vol. 19 , pp. 175 – 189 , 1991 .
   Web of Science ®Google Scholar
• V. R. Voller , Fast Implicit Finite-Difference Method for the Analysis of Phase Change Problems , Numer. Heat Transfer Part B , vol. 17 , pp. 155 – 169 , 1990 .
   Web of Science ®Google Scholar
• V. R. Voller and C. R. Swaminathan , Treatment of Discontinuous Thermal Conductivity in Control-Volume Solutions of Phase Change Problems , Numer. Heat Transfer Part B , vol. 24 , pp. 161 – 180 , 1993 .
   Web of Science ®Google Scholar
• J. E. Dennis and R. B. Schnabel , Numerical Methods for Unconstrained Optimization and Nonlinear Equations , Prentice-Hall , Englewood Cliffs , N.J. , 1983 .
   Google Scholar
• G. E. Bell , On the Performance of the Enthalpy Method , Int. J. Heat Mass Transfer , vol. 25 , pp. 587 – 589 , 1982 .
   Web of Science ®Google Scholar
• Address correspondence to Dr. James Caldwell, Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong.
   Google Scholar