A temperature‐based finite element solution for phase‐change problems | Zendy

Crivelli Luis A. | Zendy; Idelsohn Sergio R. | Zendy

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A temperature‐based finite element solution for phase‐change problems

Author(s) -

Crivelli Luis A.,

Idelsohn Sergio R.

Publication year - 1986

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620230109

Subject(s) - finite element method , jacobian matrix and determinant , mathematics , computation , mixed finite element method , extended finite element method , regularization (linguistics) , thermal conduction , matrix (chemical analysis) , mathematical optimization , mathematical analysis , algorithm , computer science , physics , materials science , artificial intelligence , composite material , thermodynamics

A finite element procedure for solving multidimensional phase change problems is described. The algorithm combines a temperature formulation with a finite element treatment of the differential equation and discontinuous integration within the two‐phase elements to avoid the necessity of regularization. A new criterion for the computation of the iteration matrix is proposed. It is based on a quasi‐Newton correction of the Jacobian matrix for conduction problems without change of phase. A set of test problems with exact solution is analysed and demonstrates that the procedure can accurately evaluate the front position and temperature history with a reasonable computational effort.

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