Efficient numerical technique for one-dimensional thermal problems with phase change

Abstract A new numerical scheme for one-dimensional heat flow problems with phase change is presented. The technique, which continuously monitors the progression of the phase interface, is unusual for the high accuracy achieved without sacrifice to computing efficiency.

[1]  T. K. Perkins,et al.  A Mathematical Model of Thaw-Freeze Cycles Beneath Drilling Rigs and Production Platforms in Cold Regions , 1971 .

[2]  Yoshisuke Nakano,et al.  Effect of a Freezing Zone of Finite Width on the Thermal Regime of Soils , 1971 .

[3]  P H Price,et al.  The effect of latent heat on numerical solutions of the heat flow equation , 1954 .

[4]  J. Crank,et al.  TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW , 1957 .

[5]  Jim Douglas,et al.  On the numerical integration of a parabolic differential equation subject to a moving boundary condition , 1955 .

[6]  L. E. Goodrich A one-dimensional numerical model for geothermal problems , 1974 .

[7]  G A Leonards,et al.  TRANSIENT TEMPERATURE DISTRIBUTION IN INSULATED PAVEMENTS- PREDICTIONS VS OBSERVATIONS , 1970 .

[8]  C. T. Hwang,et al.  A Thermal Analysis for Structures on permafrost , 1972 .

[9]  Louis W. Ehrlich,et al.  A Numerical Method of Solving a Heat Flow Problem with Moving Boundary , 1958, JACM.

[10]  Marshall R Thompson,et al.  A HEAT TRANSFER MODEL FOR EVALUATING FROST ACTION AND TEMPERATURE-RELATED EFFECTS IN MULTILAYERED PAVEMENT SYSTEMS , 1970 .

[11]  Fred Landis,et al.  Numerical and Machine Solutions of Transient Heat-Conduction Problems Involving Melting or Freezing: Part I—Method of Analysis and Sample Solutions , 1959 .

[12]  E. J. Couch,et al.  Thermal Model For Roads, Airstrips And Building Foundations In Permafrost Regions , 1972 .

[13]  J. W. Westwater,et al.  Extension of the numerical method for melting and freezing problems , 1970 .