基于时空有限体积法的板坯凝固过程仿真

Simulation of Solidification Process in Continuous Slab Casting Based on Time-space Finite Volume Method

以钢水凝固过程是多元系相变为出发点,运用时空有限体积法,积分描述二冷动态控制模型的偏微分方程,得到只包含时间导数的半离散形式并进行求解,求得铸坯的温度分布及坯壳厚度。铸坯表面温度计算结果与实测结果接近。该方法求解过程占用内存少,求解时间短,稳定性好。提出了时空有限体积法的概念,阐述了时空有限体积法的基本思想。

Basing on the fact that the slab caster solidification is really phase transforming with several elements system, the time-space finite volume method is used to integrate the partial derivative equation for the secondary spary water dynamic cooling control model. The semi-discrete equation for derivative of time is obtained to get the distributing of temperature and the slab thickness. Surface temperature of simulations performed using the mathematical model are validated against the measured values and a good agreement is observed. The slove process needs little computer memory, spend little time and have high stability. The concept and the base principle of time-space finite volume method is gived.