|Title:||Mathematica implementation of new simulation codes for challenging industrial applications|
|Authors :||Safa, Yasser|
|Conference details:||XIII. Mathematica-Tag, Berlin, Deutschland, 2. Dezember 2011|
|License (according to publishing contract) :||Licence according to publishing contract|
|Type of review:||Not specified|
|Subjects :||Porous layer; Diffusion; Transport phenomen; Thermal barrier coating|
|Subject (DDC) :||500: Natural sciences and mathematics |
|Abstract:||A short overview on new numerical codes recently implemented in Mathematica is introduced with selected examples of results for challenging problems like two-phase flow in porous layer, the buckling under the effects of residual stresses of a thin micro film, and, the delamination in thermal barrier coating technology. In the main part of this talk the implementation of new method to study the transport phenomena under specific geometrical constraints is shown. The local reactive flow in an industrial domain of special geometry still is an important topic in numerical simulation. For example, the problem of high aspect ratio between length and thickness of the thin layer requires a smooth mesh generation to avoid the badly conditioning system resulting from stretched element. The classical solution of convective dominant transport is usually stabilized by an added numerical diffusion which lead to an inaccurate representation of the boundary layer. The nonlinear conservation system is usually solved by means of linearization methods like Newton Raphson which is not always efficient in the case of badly conditioning problems. In SOFC fuel cell applications, unlike conventional methods, ADI (Alternating Direction Implicit) numerical scheme allows one to predict local gradients of chemical species and electrical charges with low computing costs and unconditional numerical stability. This is especially important in the vicinity of a current collector rib and under extreme operation conditions, e.g. when the fuel gets depleted. Furthermore, the convection dominant transport within the gas distribution channels has been accurately calculated without using an additional transversal (artificial) numerical diffusion. Important results are obtained from Mathematica programming to be relevant for the industrial applications.|
|Departement:||School of Engineering|
|Organisational Unit:||Institute of Computational Physics (ICP)|
|Publication type:||Conference other|
|Appears in Collections:||Publikationen School of Engineering|
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