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Numerical Simulation of Solidification Microstructure based on Adaptive Octree Grids

Yin Y., Li Y., Wu K., Zhou J.

Archives of Foundry Engineering

2016

Vol. 16, iss. 2

33--40

The main work of this paper focuses on the simulation of binary alloy solidification using the phase field model and adaptive octree grids. Ni-Cu binary alloy is used as an example in this paper to do research on the numerical simulation of isothermal solidification of binary alloy. Firstly, the WBM model, numerical issues and adaptive octree grids have been explained. Secondary, the numerical simulation results of three dimensional morphology of the equiaxed grain and concentration variations are given, taking the efficiency advantage of the adaptive octree grids. The microsegregation of binary alloy has been analysed emphatically. Then, numerical simulation results of the influence of thermo-physical parameters on the growth of the equiaxed grain are also given. At last, a simulation experiment of large scale and long-time has been carried out. It is found that increases of initial temperature and initial concentration will make grain grow along certain directions and adaptive octree grids can effectively be used in simulations of microstructure.

Solidification and solid/liquid interface paths for the formation of protective coatings

Wołczyński W., Himemiya T., Kopyciński D., Guzik E.

Archiwum Odlewnictwa

2006

R. 6, nr 18/1

359--362

A solidification path was determined for the processes of diffusion soldering and hot dip galvanizing occurred at constant temperature. The solidification path is shown for binary Ni-Al and Fe-C phase diagrams. The beginning of solidification path is estimated from measurement of the average solute concentration within coating frozen during solidification. The end of solidification path is a result of a cross-section of the real temperature applied in technology and liquidus line of a given phase diagram.

Ścieżka krystalizacji została wyznaczona dla procesu spajania dyfuzyjnego oraz cynkowania metodą zanurzeniową, które przebiegają w warunkach izotermicznych. Ścieżka krystalizacji jest pokazana na przykładzie podwójnych diagramów fazowych równowagi stabilnej: Ni-Al oraz Fe-C. Początek ścieżki krystalizacji jest oszacowany z pomiarów średniego stężenia składnika stopowego w powłoce zamrożonej w trakcie krystalizacji. Koniec ścieżki krystalizacji jest wynikiem przecięcia rzeczywistej temperatury zastosowanej w danej technologii oraz linii likwidus danego diagramu fazowego równowagi stabilnej.

A phase-field model for the isothermal solidification process of a binary alloy

Kessler D., Krüger O., Rappaz J.

Computer Assisted Mechanics and Engineering Sciences

2000

Vol. 7, No. 3

279-288

We study a phase-field model for the isothermal solidification of a binary alloy which involves the relative concentration and the order parameter. We prove the existence of weak solutions as well as regularity and uniqueness results under Lipschitz and boundeness assumptions for the nonlinearities. A maximum principle holds that justifies these assumptions. A numerical approximation and some numerical results are also presented