A finite volume method for solute segregation in directional solidification and comparison with a finite element method

DOI10.1016/0045-7825(95)00973-6zbMath0887.76055OpenAlexW2140326079MaRDI QIDQ1372816

J. Ning

Publication date: 1 June 1998

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

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00973-6

zbMATH Keywords

Newton's methodNavier-Stokes equationgeneralized curvilinear coordinatesdouble-diffusive convectionstream function/vorticity formulationgallium growthnearly quadratic convergencesilicon doped germanium growthsupercooling in non-dilute solutionvertical Bridgman process

Mathematics Subject Classification ID

Related Items (3)

Conservative finite volume strategy for investigation of solution crystal growth techniques ⋮ Two equivalent finite volume schemes for Stefan problem on boundary-fitted grids: front-tracking and front-fixing techniques ⋮ A Hermite radial basis function collocation approach for the numerical simulation of crystallization processes in a channel

Cites Work

• A steepest gradient method for optimum structural design
• Software for estimating sparse Jacobian matrices
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Petrov-Galerkin methods for natural convection in directional solidification of binary alloys
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Newton's method for solving heat transfer, fluid flow and interface shapes in a floating molten zone
• LU decomposition of matrices with augmented dense constraints
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