A fast convergent and accurate temperature model for phase-change heat conduction

DOI<1863::AID-NME571>3.0.CO;2-9 10.1002/(SICI)1097-0207(19990430)44:12<1863::AID-NME571>3.0.CO;2-9zbMath0942.76038OpenAlexW1979130927MaRDI QIDQ4262721

Alberto Cardona, Víctor D. Fachinotti, Alfredo Huespe

Publication date: 27 August 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990430)44:12<1863::aid-nme571>3.0.co;2-9

zbMATH Keywords

Neumann problemanalytical integrationNewton-Raphson solutiontangent matricesdiscontinuous spatial integrationEuler-backward time-stepping schemesolidification of steel ingottemperature-based finite element

Mathematics Subject Classification ID

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Cites Work

• The use of lumped capacitance in the finite-element solution of heat conduction problems with phase change
• Theory and modeling of phase change materials with and without mushy regions
• Fixed grid techniques for phase change problems: A review
• A temperature-based finite element solution for phase-change problems
• Making curved interfaces straight in phase‐change problems
• Comparison of finite element techniques for solidification problems
• On the numerical modelling of heat transfer during solidification processes
• An efficient algorithm for analysis of nonlinear heat transfer with phase changes
• A temperature‐based formulation for finite element analysis of generalized phase‐change problems
• Finite element solution of non-linear heat conduction problems with special reference to phase change

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