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== Abstract ==
 
== Abstract ==
  
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Cuando se aplica XFEM a los problemas de difusión en un sistema de multiples fases, esta popular estrategia produce una representación inexacta de los flujos en la vecindad de la interfase. El enriquecimiento XFEM mejora la calidad global de la solucón pero no satisface algunos rasgos locales de los flujos. Así, los flujos numéricos resultantes en la vecindad de la interfase no es realista. Este arículo introduce una restricción adicional a la formulación XFEM añadiendo una propiedad que reproduzca los rasgos de los flujos locales en la zona de transición. Esta aproximación será denotada como XFEM+ y requiere añadir condiciones lineales al sistema algebraico XFEM. Se aplicará la estrategia XFEM+ a varios ejemplos y las soluciones obtenidas muestran una mejora espectacular con respecto al XFEM estándar. Summary When applied to diffusion problems in a multiphase setup, the popular XFEM strategy suffers of an inaccurate representation of the local fluxes in the vicinity of the interphase. The XFEM enrichment improves the global quality of the solution but it is not enforcing any local feature to the fluxes. Thus, the resulting numerical fluxes in the vicinity of the interphase are not realistic. This paper introduces an additional restriction to the XFEM formulation aiming at properly reproducing the features of the local fluxes in the transition zone. This approach is denoted as XFEM+ and requires adding linear constrains to the XFEM algebraic system. The XFEM+ strategy is applied to several examples and the solutions obtained show a spectacular improvement with respect to the standard XFEM.
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When applied to diffusion problems in a multiphase setup, the popular XFEM strategy suffers of an inaccurate representation of the local fluxes in the vicinity of the interphase. The XFEM enrichment improves the global quality of the solution but it is not enforcing any local feature to the fluxes. Thus, the resulting numerical fluxes in the vicinity of the interphase are not realistic. This paper introduces an additional restriction to the XFEM formulation aiming at properly reproducing the features of the local fluxes in the transition zone. This approach is denoted as XFEM+ and requires adding linear constrains to the XFEM algebraic system. The XFEM+ strategy is applied to several examples and the solutions obtained show a spectacular improvement with respect to the standard XFEM.
  
 
== Full document ==
 
== Full document ==
 
<pdf>Media:draft_Content_513365090RR262E.pdf</pdf>
 
<pdf>Media:draft_Content_513365090RR262E.pdf</pdf>

Latest revision as of 11:01, 14 June 2017

Abstract

When applied to diffusion problems in a multiphase setup, the popular XFEM strategy suffers of an inaccurate representation of the local fluxes in the vicinity of the interphase. The XFEM enrichment improves the global quality of the solution but it is not enforcing any local feature to the fluxes. Thus, the resulting numerical fluxes in the vicinity of the interphase are not realistic. This paper introduces an additional restriction to the XFEM formulation aiming at properly reproducing the features of the local fluxes in the transition zone. This approach is denoted as XFEM+ and requires adding linear constrains to the XFEM algebraic system. The XFEM+ strategy is applied to several examples and the solutions obtained show a spectacular improvement with respect to the standard XFEM.

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Published on 01/04/10
Accepted on 01/04/10
Submitted on 01/04/10

Volume 26, Issue 2, 2010
Licence: CC BY-NC-SA license

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