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In this paper we develop a novel approach to model error modelling. There are natural links to others recently developed ideas. However, here we make several key departures, namely (i) we focus on relative errors; (ii) we use a broad class of model error description which includes, inter alia, the earlier idea of stochastic embedding; (iii) we estimate both, the nominal model and undermodelling simultaneously...
A fluid-mechanics model that make use of asymptotic analysis based on small aspect ratio of capillaries has been compared with the full 3-D set of the N.-St. equations, for modelling the fabrication of capillary tubes. The final asymptotic equations are solved numerically and then compared with the N.-St. solutions, obtained with a commercial finite elements solver. The present paper focuses on the...
A computational and experimental investigation was carried out in an electromagnetically stirred molten aluminum. The molten metal was contained in a cylindrical vessel made of stainless steel. The vessel was positioned in front of a linear induction machine. The free-surface deformation was calculated using numerical simulation with ANSYS and FLUENT and was compared to experimental observations made...
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