An energetically consistent concurrent multiscale method for heterogeneous heat transfer and phase transition applications

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• 作者：Stephen Lin ^{stephenlin2014@u.northwestern.edu} ; Jacob Smith ^{jacobsmith2011@u.northwestern.edu} ; Wing Kam Liu ^{w-liu@northwestern.edu} ; Gregory J. Wagner ; ^{gregory.wagner@northwestern.edu}
• 关键词：Concurrent multiscale method ; Multilevel finite elements ; Heat equation ; Phase field models
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：100-120
• 全文大小：1821 K
• 卷排序：315

文摘

A concurrent multiscale method that conserves energy between scales is proposed. Flux boundary conditions conserve energy between both scales up to machine error. Different mathematical models can be defined between the coarse and fine scale. A concurrent multiscale solidification example using a phase field model is shown.