The solidification of binary metallic alloy (Sn-10%Pb) is simulated in 2D with a diffuse approximate meshless method.The macrosegregation with mesosegregates is described by a coupled set of volume-averaged partial differential equations.The incompressible Newtonian fluid is described by coupled mass and momentum equations and the mushy Clothing - Womens Tops - Jackets zone is treated as a Darcy porous media.The energy transport is described with enthalpy formulation and the species transfer is incorporated by considering the Lever rule approximation.
The thermo-solutal Boussinesq hypothesis is applied in order to account for the double-diffusive effects in the melt.The mathematical model is solved by a diffusive approximate method on local subdomains with Euler time stepping.Pressure-velocity coupling is incorporated by applying the fractional step method.The instabilities due to the convective terms are smoothed out by applying the upwinding Preamps technique.
The results are presented on a regular node arrangement and are compared to other benchmark results.The present paper demonstrates that the results calculated with the diffuse approximate meshless method are in good agreement with reference results.