论文信息 - AN EFFICIENT ALGORITHM FOR ANALYSIS OF NONLINEAR HEAT TRANSFER WITH PHASE CHANGES

AN EFFICIENT ALGORITHM FOR ANALYSIS OF NONLINEAR HEAT TRANSFER WITH PHASE CHANGES

A new, simple and effective finite element procedure is presented for the practical solution of heat transfer conditions with phase changes. In this method, a fixed finite element mesh is employed, and a relatively coarse finite element mesh and large time step can be used in the incremental solution. The results of various numerical studies using the algorithm are presented that demonstrate the effectiveness of the procedure.

Klaus-Jürgen Bathe | W. Donald Rolph | K. Bathe | W. Rolph

[1] Frank Kreith,et al. Heat transfer with melting or freezing in a wedge , 1973 .

[2] Roland W. Lewis,et al. An improved algrorithm for heat conduction problems with phase change , 1978 .

[3] G. Meyer. Multidimensional Stefan Problems , 1973 .

[4] Avner Friedman,et al. The Stefan problem in several space variables , 1968 .

[5] M. Khoshgoftaar,et al. Finite element formulation and solution of nonlinear heat transfer , 1979 .

[6] D. R. Atthey. A Finite Difference Scheme for Melting Problems , 1974 .

[7] J. Stefan,et al. Ueber die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere , 1891 .

[8] Noboru Kikuchi,et al. Numerical methods for a two‐phase Stefan problem by variational inequalities , 1979 .

[9] Noboru Kikuchi,et al. A one‐phase multi‐dimensional Stefan problem by the method of variational inequalities , 1979 .

[10] H. Saunders,et al. Finite element procedures in engineering analysis , 1982 .

[11] Pedro V. Marcal,et al. A NUMERICAL THERMO-MECHANICAL MODEL FOR THE WELDING AND SUBSEQUENT LOADING OF A FABRICATED STRUCTURE , 1973 .

[12] Klaus-Jürgen Bathe,et al. Some practical procedures for the solution of nonlinear finite element equations , 1980 .

[13] Roland W. Lewis,et al. Finite element solution of non‐linear heat conduction problems with special reference to phase change , 1974 .