An object oriented implementation of a front tracking finite element method for directional solidification processes

DOI<1227::AID-NME471>3.0.CO;2-R 10.1002/(SICI)1097-0207(19990330)44:9<1227::AID-NME471>3.0.CO;2-RzbMath0943.76052OpenAlexW1988782801MaRDI QIDQ4267005

Rajiv Sampath, Nicholas Zabaras

Publication date: 5 September 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990330)44:9<1227::aid-nme471>3.0.co;2-r

zbMATH Keywords

Navier-Stokes equationsspline interpolationobject-oriented programmingStefan conditionmeltingBoussinesq fluidbinary alloysdirectional solidificationfront tracking techniquefreezing fronttransfinite mapping techniqueheat and mass transport equationsstreamline-upwind/Petrov-Galerkin based FEM simulators

Mathematics Subject Classification ID

Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.) (68N19) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10) Software, source code, etc. for problems pertaining to fluid mechanics (76-04)

Related Items (7)

A hybrid extended finite element/level set method for modeling phase transformations ⋮ Inverse design of directional solidification processes in the presence of a strong external magnetic field ⋮ A fixed‐mesh finite element thermally coupled flow formulation for the numerical analysis of melting processes ⋮ Numerical study of convection in the directional solidification of a binary alloy driven by the combined action of buoyancy, surface tension, and electromagnetic forces ⋮ On the importance of solid deformations in convection-dominated liquid/solid phase change of pure materials ⋮ A cell-by-cell thermally driven mushy cell tracking algorithm for phase-change problems. II: Phase-change with natural connection. ⋮ An object-oriented framework for reduced-order models using proper orthogonal decomposition (POD)

Uses Software

• Diffpack

Cites Work

• A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems. I. Model formulation. II. Application to solidification in a rectangular cavity
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