An enrichment scheme for solidification problems
作者： Alejandro Cosimo , Víctor Fachinotti , Alberto Cardona
DOI: 10.1007/S00466-012-0792-9
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摘要: A new enriched finite element formulation for solving isothermal phase change problems is presented. We propose a fixed mesh method, where the discontinuity in temperature gradient represented by enriching space through function whose definition includes discontinuity. Generally, these types of formulations, enrichment location (the solidification front) determined level set auxiliary scheme. In this work, position implicitly constraining at boundary to be equal melting temperature. Several numerical examples are presented show application method.
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Peter Wriggers, Nonlinear Finite Element Methods ,(2008)
Fenando G. Basombrío, El problema de dos fases en materiales heterogéneos. Aplicaciones Revista Internacional De Metodos Numericos Para Calculo Y Diseno En Ingenieria. ,vol. 13, pp. 351- 366 ,(1997)
Shawn Michael Kelly, Thermal and Microstructure Modeling of Metal Deposition Processes with Application to Ti-6Al-4V Virginia Tech. ,(2004)
Thomas-Peter Fries, Andreas Zilian, On time integration in the XFEM International Journal for Numerical Methods in Engineering. ,vol. 79, pp. 69- 93 ,(2009) , 10.1002/NME.2558
Seid Koric, Brian G. Thomas, Efficient thermo‐mechanical model for solidification processes International Journal for Numerical Methods in Engineering. ,vol. 66, pp. 1955- 1989 ,(2006) , 10.1002/NME.1614
V�ctor D. Fachinotti, Alberto Cardona, Alfredo E. Huespe, A fast convergent and accurate temperature model for phase‐change heat conduction International Journal for Numerical Methods in Engineering. ,vol. 44, pp. 1863- 1884 ,(1999) , 10.1002/(SICI)1097-0207(19990430)44:12<1863::AID-NME571>3.0.CO;2-9
Scott R. Runnels, Graham F. Carey, Finite Element Simulation of Phase Change Using Capacitance Methods Numerical Heat Transfer Part B-fundamentals. ,vol. 19, pp. 13- 30 ,(1991) , 10.1080/10407799108944954
G. Beckett, J.A. Mackenzie, M.L. Robertson, A moving mesh finite element method for the two-dimensional Stefan problems Journal of Computational Physics. ,vol. 168, pp. 500- 518 ,(2001) , 10.1006/JCPH.2001.6721
Martin K. Bernauer, Roland Herzog, Implementation of an X-FEM Solver for the Classical Two-Phase Stefan Problem Journal of Scientific Computing. ,vol. 52, pp. 271- 293 ,(2012) , 10.1007/S10915-011-9543-X