A finite element model for convection‐dominated melting and solidification problems

DOI10.1108/09615539810213179zbMath0943.76049OpenAlexW2046606389MaRDI QIDQ4700815

Zhen-Xiang Gong, Arun Sadashiv Mujumdar

Publication date: 5 September 2000

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615539810213179

zbMATH Keywords

penalty formulationfreezingprimitive variablesstreamline upwind/Petrov Galerkin methodconvection-dominated meltingenthalpy-porosity approachrectangular cavity heated from belowsolid/liquid phase change interface

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) Free convection (76R10)

Related Items (2)

A projection method for convection-dominated phase transitions ⋮ Phase change process with free convection in a circular enclosure: numerical simulations

Cites Work

• Finite element simulation of buoyancy-driven flows with emphasis on natural convection in a horizontal circular cylinder
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Petrov-Galerkin finite element approach to coupled heat and fluid flow
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• Finite element modelling of natural-convection-controlled change of phase
• Physically correct penalty‐like formulations for accurate pressure calculation in finite element algorithms of the Navier‐Stokes equations

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