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Stabilized finite element method for solving heat transfer and turbulent flow inside industrial furnaces

Abstract : A mathematical and numerical model to design an industrial software solution able to handle real complex furnaces con gurations in terms of geometries, atmospheres, parts positioning, heat generators and physical thermal phenomena has been developed. A three dimensional algorithm based on stabilized nite element methods (SFEM) for solving the momentum [1], energy, turbulence and radiation equations is presented. An immersed volume method for thermal coupling of fuids and solids is introduced. It consists in considering a single 3D grid of the furnace and solving one set of equations for both uid and solid with di erent thermal properties which can reduce the computational costs. A level set function enables to de ne precisely the position and the interface of any objects inside the furnace and to provide homogeneous physical and thermodynamic properties for each subdomain. Furthermore, in order to ensure an accurate capture of the discontinuities that characterize the strongly heterogeneous domain, we resort to an anisotropic mesh adaptation algorithm based on the variations of the level set function. The proposed method demonstrates the capability of the model to simulate an unsteady three dimensional heat transfers and turbulent fows in an industrial furnace with the presence of conducting solids
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Submitted on : Friday, August 12, 2011 - 3:24:39 PM
Last modification on : Wednesday, November 17, 2021 - 12:28:04 PM


  • HAL Id : hal-00614595, version 1


Elie Hachem, Elisabeth Massoni, Thierry Coupez. Stabilized finite element method for solving heat transfer and turbulent flow inside industrial furnaces. 40ème Congrès National d'Analyse Numérique - CANUM 2010, May 2010, Carcans-Maubuisson, France. ⟨hal-00614595⟩



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