Simulation of incompressible flows with heat and mass transfer using parallel finite element method.
Abedi, Jalal, Aliabadi, Shahrouz (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Abedi, Jalal, Aliabadi, Shahrouz (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sanyal, Dipayan, Rao, P.Ramachandra, Gupta, O.P. (2005)
Mathematical Problems in Engineering
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Nigro, Norberto, Storti, Mario (2001)
International Journal of Mathematics and Mathematical Sciences
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Daniela Mansutti, Edoardo Bucchignani (2011)
Applications of Mathematics
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We analyse the effect of the mechanical response of the solid phase during liquid/solid phase change by numerical simulation of a benchmark test based on the well-known and debated experiment of melting of a pure gallium slab counducted by Gau & Viskanta in 1986. The adopted mathematical model includes the description of the melt flow and of the solid phase deformations. Surprisingly the conclusion reached is that, even in this case of pure material, the contribution of the solid...
Patrick Le Quéré, Catherine Weisman, Henri Paillère, Jan Vierendeels, Erik Dick, Roland Becker, Malte Braack, James Locke (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large temperature differences for which the Boussinesq approximation is no longer valid. The paper is split in two parts: in this first part, we propose as yet unpublished reference solutions for cases characterized by a non-dimensional temperature...
Beneš, Michal, Mikyška, Jiří
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Alexiades, Vasilios, Autrique, David (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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