KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Extreme Computing Research Center
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AbstractWe present the microbalance including the microforces, the first- and second-order microstresses for the Swift–Hohenberg equation concomitantly with their constitutive equations, which are consistent with the free-energy imbalance. We provide an explicit form for the microstress structure for a free-energy functional endowed with second-order spatial derivatives. Additionally, we generalize the Swift–Hohenberg theory via a proper constitutive process. Finally, we present one highly resolved three-dimensional numerical simulation to demonstrate the particular form of the resulting microstresses and their interactions in the evolution of the Swift–Hohenberg equation.
CitationEspath LFR, Sarmiento AF, Dalcin L, Calo VM (2017) On the thermodynamics of the Swift–Hohenberg theory. Continuum Mechanics and Thermodynamics. Available: http://dx.doi.org/10.1007/s00161-017-0581-y.
SponsorsThis publication was made possible in part by the CSIRO Professorial Chair in Computational Geoscience of Curtin University, the National Priorities Research Program Grant 7-1482-1-278 from the Qatar National Research Fund (a member of the Qatar Foundation), and by the European Union’s Horizon 2020 Research and Innovation Program of the Marie Skłodowska-Curie Grant Agreement No. 644202, the J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences (ICES) of the University of Texas at Austin has partially supported the visits of VMC to ICES, the Spring 2016 Trimester on “Numerical methods for PDEs”, organized with the collaboration of the Centre Emile Borel at the Institut Henri Poincare in Paris supported VMC’s visit to IHP in October, 2016.