Finite element methods for unsteady solidification problems arising in prediction of morphological structure

DOI10.1007/BF01066483zbMath0658.76087OpenAlexW2084729272MaRDI QIDQ1111874

S. H. Smith

Publication date: 1988

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01066483

zbMATH Keywords

free energyfinite element formulationtime integrationsolute transportphase diagramdynamic transitionsmoving-boundary problemGalerkin finite element methodsAdams-Moulton algorithmdirectional solidification of a binary alloyexplicit predictor-corrector algorithmisotherm-Newton methodmelt-solid interfacenonorthogonal transformationstwo-dimensional cellular interface morphologies

Mathematics Subject Classification ID

Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99)

Related Items (5)

A Schur complement formulation for solving free-boundary, Stefan problems of phase change ⋮ Parallel implementation of finite-element/Newton method for solution of steady-state and transient nonlinear partial differential equations ⋮ Finite-element methods for analysis of the dynamics and control of Czochralski crystal growth ⋮ Wave equation hydrodynamics on deforming elements ⋮ An assessment of a parallel, finite element method for three-dimensional, moving-boundary flows driven by capillarity for simulation of viscous sintering

Cites Work

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• Finite-element methods for analysis of the dynamics and control of Czochralski crystal growth
• Finite-element methods for the calculation of capillary surfaces
• Study of coating flow by the finite element method
• Unified approach to simulation on deforming elements with application to phase change problems
• Finite-element methods for steady solidification problems
• On the approximation of capillary surfaces in a gravitational field
• Multiple buoyancy-driven flows in a vertical cylinder heated from below
• Comparison of boundary and finite element methods for moving-boundary problems governed by a potential
• Petrov-Galerkin methods for natural convection in directional solidification of binary alloys
• Differential/Algebraic Equations are not ODE’<scp>s</scp>
• The dependence of the shape and stability of captive rotating drops on multiple parameters
• LU decomposition of matrices with augmented dense constraints

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