Abstract
A multi-phase model was established to imitate the growth of algal and dendritic grains during directional solidification. We studied the effects of temperature on the growth of bi-crystals and quantitatively analyzed the influence of anisotropic strength, thermal gradient, and pulling velocity on the evolution of bi-crystals. The results show that both weaker anisotropy strength and smaller pulling velocity can maintain the formation of seaweed tissue. The increase in the pulling velocity can degenerate the seaweed grains into dendrites and improve the growth rate of the dendrites, which make grain B produce more spindles, thereby accelerating the elimination of grain A. The thermal gradient is inversely proportional to the average initial spacing of dendrites. When the thermal gradient is too small, dendritic dendrites produce developed secondary dendrite arms, which, in turn, develop into tertiary dendrite arms to occupy the grain boundary, accelerating the elimination of seaweed grains. In addition, the multi-phase field model is solved by using central processing unit serial computation, single MPI (message passing interface) parallel programming method calculation, and MPI+OpenMP hybrid parallel programming structure, and the relevant factors affecting the efficiency of program operation are analyzed and tested. By comparing the computational efficiency of the three methods, it can be seen that the MPI+OpenMP hybrid parallel programming technology can make full use of computing resources in the case of large computing scale, further optimize the MPI parallel model, and obtain a higher acceleration ratio.
Highlights
With the development of computer science, numerical simulation of microstructures formed during solidification of materials has become an important method of material research, in which the evolution of interface morphology has always been one of the focuses of scholars
Guo et al studied the competitive growth of three-dimensional twins during directional solidification by phase-field simulation.6. Most of these studies are limited to the competitive growth between dendrites, and no research has been done on the growth between grains with different morphologies
It is of great significance to study the growth process between columnar dendrites and seaweed dendrites by comparing different temperature control parameters
Summary
With the development of computer science, numerical simulation of microstructures formed during solidification of materials has become an important method of material research, in which the evolution of interface morphology has always been one of the focuses of scholars. Xing et al studied the growth competition between dendrites and degraded seaweed during directional solidification by using a binary alloy oriented multi-phase field model.. % camphor model alloy is taken as the research object, and the microstructure evolution behavior of seaweed and dendritic grain growth during directional solidification were simulated by the multi-phase field method. The multi-phase field model under the condition of thin interface stratification was solved by the central processing unit (CPU) serial calculation, single MPI parallel programming method calculation, and MPI+OpenMP mixed parallel programming structure, respectively, in the condition of large-scale calculation, acceleration effect, and computational efficiency of parallel programming technology
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