Effect of a Porous Layer on the Flow Structure and Heat Transfer in a Square Cavity

Abstract: A two-dimensional rectangular enclosure containing a binary-fluid saturated porous layer of finite thickness placed in the centre of the cavity is considered. Phase change is neglected. Vertical and horizontal solid boundaries are assumed to be isothermal and adiabatic, respectively. A horizontal temperature gradient is imposed, driving convection of buoyancy nature. The Darcy equation, including Brinkman and Forchheimer terms is used to account for viscous and inertia effects in the momentum equation, respectively. The problem is then solved numerically in the framework of a Velocity-Pressure formulation resorting to a finite volume method based on the standard SIMPLER algorithm. The effects of the governing parameters (geometric, hydrodynamic and thermal) on fluid flow and heat transfer are investigated. Nomenclatur

Additional degrees of parallelism within the Adomian decomposition method

4th International Conference on Computational Engineering (ICCE 2017), 28-29 September 2017, DarmstadtThis is the author accepted manuscript. The final version is available from Springer via the DOI in this record.The trend of future massively parallel computer architectures challenges the exploration of additional degrees of parallelism also in the time dimension when solving continuum mechanical partial differential equations. The Adomian decomposition method (ADM) is investigated to this respects in the present work. This is accomplished by comparison with the Runge-Kutta (RK) time integration and put in the context of the viscous Burgers equation. Our studies show that both methods have similar restrictions regarding their maximal time step size. Increasing the order of the schemes leads to larger errors for the ADM compared to RK. However, we also discuss a parallelization within the ADM, reducing its runtime complexity from O(n^2) to O(n). This indicates the possibility to make it a viable competitor to RK, as fewer function evaluations have to be done in serial, if a high order method is desired. Additionally, creating ADM schemes of high-order is less complex as it is with RK.The work of Andreas Schmitt is supported by the ’Excellence Initiative’ of the German Federal and State Governments and the Graduate School of Computational Engineering at Technische Universit¨at Darmstadt

Sur la similarité entre la convection thermogravitaire et la convection thermomagnétique en zéro gravité dans une cavité rectangulaire différentiellement chauffée remplie d’un fluide paramagnétique

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Effect of Thermphysical Properties Variation on Non-Boussinesq Natural Convection

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Effet Du Rayonnement de Surfaces Sur La Convection Naturelle Pour de Larges Gradients Thermiques

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Numerical study of natural convection in a square cavity under non-Boussinesq conditions

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Sur la similarité entre la convection thermogravitaire et la convection thermomagnétique en zéro gravité dans une cavité rectangulaire différentiellement chauffée remplie d’un fluide paramagnétique

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Effect of Thermphysical Properties Variation on Non-Boussinesq Natural Convection

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