Adaptive finite elements with high aspect ratio for dendritic growth of a binary alloy including fluid flow induced by shrinkage

DOI10.1016/j.cma.2006.10.033zbMath1173.76349OpenAlexW2069510497MaRDI QIDQ1033371

Jacek Narski, Marco Picasso

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.10.033

zbMATH Keywords

finite elementsolidificationmesh adaptationphase-fieldNavier-Stokes

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10)

Uses Software

• BL2D-V2

Cites Work

• Unnamed Item
• Diffuse interface modeling of two-phase flows based on averaging: mass and momentum equations
• Convection modeling in directional solidification
• Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
• Anisotropic, adaptive finite elements for the computation of a solutal dendrite
• Anisotropic error estimates for elliptic problems
• A level set approach for the numerical simulation of dendritic growth
• Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model.
• Phase-field model for solidification of a monotectic alloy with convection
• A level set based finite element algorithm for the simulation of dendritic growth
• Modeling and numerical simulations of dendritic crystal growth
• Modeling melt convection in phase-field simulations of solidification
• A front-tracking method for dendritic solidification
• Computation of three dimensional dendrites with finite elements
• A phase-field model of solidification with convection
• An adaptive algorithm for the Stokes problem using continuous, piecewise linear stabilized finite elements and meshes with high aspect ratio
• Existence of solutions to an anisotropic phase-field model
• An Anisotropic Error Indicator Based on Zienkiewicz--Zhu Error Estimator: Application to Elliptic and Parabolic Problems
• Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
• Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator
• Mathematical modeling and numerical simulation of freezing processes of a supercooled melt under consideration of density changes
• A phase-field model with convection: sharp-inerface asymptotics.
• New anisotropic a priori estimates

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