Bracco, CesareGiannelli, CarlottaReali, AlessandroTorre, MicheleVazquez, Rafael2024-02-202024-02-202024-02-202023-11-1610.1016/j.cma.2023.116355https://infoscience.epfl.ch/handle/20.500.14299/204499WOS:001114194000001We present an adaptive scheme for isogeometric phase-field modeling, to perform suitably graded hierarchical refinement and coarsening on both single- and multi-patch geometries by considering truncated hierarchical spline constructions which ensure C1 continuity between patches. We apply the proposed algorithms to the Cahn-Hilliard equation, describing the time-evolving phase separation processes of immiscible fluids. We first verify the accuracy of the hierarchical spline scheme by comparing two classical indicators usually considered in phase-field modeling, for then demonstrating the effectiveness of the grading strategy in terms of accuracy per degree of freedom. A selection of numerical examples confirms the performance of the proposed scheme to simulate standard modes of phase separation using adaptive isogeometric analysis with smooth hierarchical spline constructions.TechnologyPhysical SciencesAdaptive Isogeometric AnalysisPhase-Field ModelingSuitably Graded Refinement And CoarseningTruncated Hierarchical B-SplinesC1 Multi-Patch Geometriestext::journal::journal article::research article