On the numerical approach to a two-phase stefan problem with non-linear flux
On the numerical approach to a two-phase stefan problem with non-linear flux
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具有非线性通量的两相 Stefan 问题的数值方法
DOI：
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发表时间：
1985
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通讯作者：
C. Verdi
中科院分区：
文献类型：
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作者：
C. Verdi
本文致力于对固定边界上具有非线性通量条件的多维两相 Stefan 问题进行数值分析；使用焓公式。介绍了L1 (Ω)非线性收缩半群理论提出的数值方法；研究了一些基于Crandall-Liggett公式和非线性Chernoff公式的收敛算法。代数非线性方程通过改进的高斯-赛德尔法求解。展示并讨论了几个数值测试的结果。
This paper is devoted to the numerical analysis of a multidimensional two-phase Stefan problem, with a non-linear flux condition on the fixed boundary; the enthalpy formulation is used. A numerical approach suggested by the theory of non-linear semigroup of contractions in L1 (Ω) is introduced; some converging algorithms based on the Crandall-Liggett formula and on the non-linear Chernoff formula are studied. The algebraic non-linear equations are solved by a modified Gauss-Seidel method. The results of several numerical tests are exhibited and discussed.