0000000000047035
AUTHOR
Rafael Torres
FINITE ELEMENT RESOLUTION OF CONVECTION-DIFFUSION EQUATIONS WITH INTERIOR AND BOUNDARY LAYERS
We present a new algorithm for the resolution of both interior and boundary layers present in the convection-diffusion equation in laminar regimes, based on the formulation of a family of polynomial-exponential elements. We have carried out an adaptation of the standard variational methods (finite element method and spectral element method), obtaining an algorithm which supplies non-oscillatory and accurate solutions. The algorithm consists of generating a coupled grid of polynomial standard elements and polynomial-exponential elements. The latter are able to represent the high gradients of the solution, while the standard elements represent the solution in the areas of smooth variation.
Filling defects in a ceramics forming process
Publisher Summary This paper presents a simple semi-heuristic method to predict mold filling defects in a porcelain forming process. It involves both a mechanical modelling of this process as a squeezing flow, and a postprocessing calculus that unable a defects prediction as soon as the shape and the size of artistic reliefs are known. This shape analysis is carried out with a multi resolution wavelet analysis. The chapter models the filling stage and to propose a criterium to avoid any filling defect that could waste the quality of the drawings. It illustrates a simplified modelling of the process during which the “turning” stage is approximated by the deformation under pressure of a Norto…