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2D simulation of flow behind a heated cylinder using spectral element approach with variable coefficients

Pech, Jan (2015)

Programs and Algorithms of Numerical Mathematics

The scheme for the numerical solution of the incompressible Navier-Stokes equations coupled with the equation for temperature through the temperature dependent viscosity and thermal conductivity coefficients is presented. It is applied, together with the spectral element method, to the 2D calculations of flow around heated cylinder. High order polynomial approximation is combined with the decomposition of whole computational domain to only a few elements. Resulting data are compared with the experimental...

3D monolithic finite element approach for aero-thermics processes in industrial furnaces⋆

E. Hachem, E. Massoni, T. Coupez (2011)

ESAIM: Proceedings

We consider in this paper a mathematical and numerical model to design an industrial software solution able to handle real complex furnaces configurations in terms of geometries, atmospheres, parts positioning, heat generators and physical thermal phenomena. A three dimensional algorithm based on stabilized finite element methods (SFEM) for solving the momentum, energy, turbulence and radiation equations is presented. An immersed volume method (IVM) for thermal coupling of fluids and solids is introduced...

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