Comparison of Results from In-House Solidification Convection Model with Standard Benchmark |
| R. Dyja
Częstochowa University of Technology, 42-201 Częstochowa, Poland |
| Full Text PDF |
| This paper focuses on a problem of solidification with convection. The performance of a developed model against a standard benchmark of solidification commonly found in literature is presented. The developed model is based on the Navier-Stokes equation and the energy equation with the convection term and also takes into account the latent heat of solidification. This set of equations is numerically solved by the finite element method. In order to overcome numerical difficulties arising from solving the Navier-Stokes equation, the streamline upwind Petrov Galerkin and the pressure stabilized Petrov Galerkin types of the FEM formulation are used. The resulting numerical model is implemented in the C++ programming language with the use of state of the art numerical libraries which allows it to be run on high-performance computers. The comparison of results from the in-house model with results obtained by other authors allows to verify the validity of the chosen methods and implementation. The inclusion of convection in the solidification model allows to extend the model with the possibility of prediction of macrosegregation or cavity occurrence, both of which are important for the prediction of defects in foundry processes. |
DOI:10.12693/APhysPolA.139.525 topics: FEM, solidification, convection, numerical simulation |