Efficient computation of dendritic growth with \(r\)-adaptive finite element methods

DOI10.1016/j.jcp.2008.02.016zbMath1148.65052OpenAlexW2123728148MaRDI QIDQ939470

Tao Tang, Ruo Li, Heyu Wang

Publication date: 22 August 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.02.016

zbMATH Keywords

finite element methodnumerical examplesdendritic growthsolidificationphase-field modelmoving mesh method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stefan problems, phase changes, etc. (80A22) Existence theories for optimal control problems involving partial differential equations (49J20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (15)

Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique ⋮ Computation of dendritic growth with level set model using a multi-mesh adaptive finite element method ⋮ A new technique for numerical simulation of dendritic solidification using a meshfree interface finite element method ⋮ An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates ⋮ Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration ⋮ Efficient \(r\)-adaptive isogeometric analysis with Winslow's mapping and monitor function approach ⋮ An adaptive algorithm for the Thomas-Fermi equation ⋮ A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media ⋮ An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh ⋮ Simulating finger phenomena in porous media with a moving finite element method ⋮ A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources ⋮ Adaptive moving grid methods for two-phase flow in porous media ⋮ On balanced moving mesh methods ⋮ The Meshfree Interface Finite Element Method for Numerical Simulation of Dendritic Solidification with Fluid Flow ⋮ Simulation of thin film flows with a moving mesh mixed finite element method

Uses Software

• OpenDX

Cites Work

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• Quantitative phase-field modeling of dendritic growth in two and three dimensions
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