Matches in SemOpenAlex for { <https://semopenalex.org/work/W2766937778> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2766937778 abstract "We present an adaptive variational procedure for unstructured meshes to capture the fluid-fluid interface in two-phase flows. The two phases are modeled by the phase-field finite element formulation involving the conservative Allen-Cahn equation coupled with the incompressible Navier-Stokes equations. The positivity preserving variational formulation is designed to maintain the bounded solution of the Allen-Cahn equation. We consider the residual-based error estimates for the underlying differential equations of the two-phase system. In particular, the adaptive refinement/coarsening is carried out by the newest vertex bisection algorithm by evaluating the residual error indicators based on the error estimates of the Allen-Cahn equation. The coarsening algorithm avoids the storage of the tree data structures for the hierarchical mesh, thus providing the ease of numerical implementation. Furthermore, the proposed nonlinear adaptive partitioned procedure aims at reducing the amount of coarsening while maintaining the convergence properties of the underlying nonlinear equations. We investigate the adaptive phase-field finite element scheme through the spinodal decomposition in a complex curved geometry and the volume-conserved interface motion driven by mean curvature flow for two circles in a square domain. We then assess the accuracy and efficiency of the proposed procedure by modeling the free-surface motion in a sloshing tank. In contrast to the non-adaptive Eulerian grid counterpart, we demonstrate that the mesh adaptivity remarkably reduces the degrees of freedom and the computational cost by nearly half for similar accuracy. The mass loss in the Allen-Cahn equation is also reduced by nearly three times compared to the non-adaptive mesh. Finally, we apply the adaptive numerical framework to solve the application of a dam-breaking problem with topological changes." @default.
- W2766937778 created "2017-11-10" @default.
- W2766937778 creator A5043431088 @default.
- W2766937778 creator A5071337914 @default.
- W2766937778 date "2017-10-28" @default.
- W2766937778 modified "2023-09-26" @default.
- W2766937778 title "An adaptive unstructured procedure via positivity preserving variational method for the conservative Allen-Cahn phase-field model" @default.
- W2766937778 hasPublicationYear "2017" @default.
- W2766937778 type Work @default.
- W2766937778 sameAs 2766937778 @default.
- W2766937778 citedByCount "0" @default.
- W2766937778 crossrefType "posted-content" @default.
- W2766937778 hasAuthorship W2766937778A5043431088 @default.
- W2766937778 hasAuthorship W2766937778A5071337914 @default.
- W2766937778 hasConcept C121332964 @default.
- W2766937778 hasConcept C126255220 @default.
- W2766937778 hasConcept C131053463 @default.
- W2766937778 hasConcept C134306372 @default.
- W2766937778 hasConcept C135628077 @default.
- W2766937778 hasConcept C158622935 @default.
- W2766937778 hasConcept C195065555 @default.
- W2766937778 hasConcept C24822716 @default.
- W2766937778 hasConcept C2524010 @default.
- W2766937778 hasConcept C2777166216 @default.
- W2766937778 hasConcept C28826006 @default.
- W2766937778 hasConcept C31487907 @default.
- W2766937778 hasConcept C33923547 @default.
- W2766937778 hasConcept C459310 @default.
- W2766937778 hasConcept C50478463 @default.
- W2766937778 hasConcept C57879066 @default.
- W2766937778 hasConcept C62520636 @default.
- W2766937778 hasConcept C93779851 @default.
- W2766937778 hasConcept C97355855 @default.
- W2766937778 hasConceptScore W2766937778C121332964 @default.
- W2766937778 hasConceptScore W2766937778C126255220 @default.
- W2766937778 hasConceptScore W2766937778C131053463 @default.
- W2766937778 hasConceptScore W2766937778C134306372 @default.
- W2766937778 hasConceptScore W2766937778C135628077 @default.
- W2766937778 hasConceptScore W2766937778C158622935 @default.
- W2766937778 hasConceptScore W2766937778C195065555 @default.
- W2766937778 hasConceptScore W2766937778C24822716 @default.
- W2766937778 hasConceptScore W2766937778C2524010 @default.
- W2766937778 hasConceptScore W2766937778C2777166216 @default.
- W2766937778 hasConceptScore W2766937778C28826006 @default.
- W2766937778 hasConceptScore W2766937778C31487907 @default.
- W2766937778 hasConceptScore W2766937778C33923547 @default.
- W2766937778 hasConceptScore W2766937778C459310 @default.
- W2766937778 hasConceptScore W2766937778C50478463 @default.
- W2766937778 hasConceptScore W2766937778C57879066 @default.
- W2766937778 hasConceptScore W2766937778C62520636 @default.
- W2766937778 hasConceptScore W2766937778C93779851 @default.
- W2766937778 hasConceptScore W2766937778C97355855 @default.
- W2766937778 hasLocation W27669377781 @default.
- W2766937778 hasOpenAccess W2766937778 @default.
- W2766937778 hasPrimaryLocation W27669377781 @default.
- W2766937778 hasRelatedWork W2061783623 @default.
- W2766937778 hasRelatedWork W2150131273 @default.
- W2766937778 hasRelatedWork W2177852322 @default.
- W2766937778 hasRelatedWork W2499761122 @default.
- W2766937778 hasRelatedWork W2557036548 @default.
- W2766937778 hasRelatedWork W2584282457 @default.
- W2766937778 hasRelatedWork W2765087108 @default.
- W2766937778 hasRelatedWork W2795804675 @default.
- W2766937778 hasRelatedWork W2805868768 @default.
- W2766937778 hasRelatedWork W2964091966 @default.
- W2766937778 hasRelatedWork W2981821528 @default.
- W2766937778 hasRelatedWork W2985897926 @default.
- W2766937778 hasRelatedWork W3086900254 @default.
- W2766937778 hasRelatedWork W3098619245 @default.
- W2766937778 hasRelatedWork W3131251937 @default.
- W2766937778 hasRelatedWork W3159183643 @default.
- W2766937778 hasRelatedWork W3161255942 @default.
- W2766937778 hasRelatedWork W3177632711 @default.
- W2766937778 hasRelatedWork W3184120290 @default.
- W2766937778 hasRelatedWork W3205987138 @default.
- W2766937778 isParatext "false" @default.
- W2766937778 isRetracted "false" @default.
- W2766937778 magId "2766937778" @default.
- W2766937778 workType "article" @default.