CAJ | 학술논문

为了研究恒温边界热源对固体融化的影响，构建了定空间步长和定时间步长两种数值方法，研究了固体在融化过程中移动界面位置的运动规律及相变区域内温度场的变化，并将两种数值方法的模拟结果与该问题的精确解进行了对比。数值模拟结果表明相变过程中移动界面的运动受Stefan数影响较大，而相变区域内的温度场则呈现线性递减的变化趋势。此外，两种数值方法的模拟结果都具有较高的精度，与精确解吻合得非常好，说明所构造的两种数值方法都是可行的，这为固体融化问题的求解提供了参考。
위료연구항온변계열원대고체융화적영향，구건료정공간보장화정시간보장량충수치방법，연구료고체재융화과정중이동계면위치적운동규률급상변구역내온도장적변화，병장량충수치방법적모의결과여해문제적정학해진행료대비。수치모의결과표명상변과정중이동계면적운동수Stefan수영향교대，이상변구역내적온도장칙정현선성체감적변화추세。차외，량충수치방법적모의결과도구유교고적정도，여정학해문합득비상호，설명소구조적량충수치방법도시가행적，저위고체융화문제적구해제공료삼고。
In order to investigate the influences upon solid melting process caused by constant heat source boundary condition,the fixed space?step method and the fixed time?step method are constructed. The evolution of moving boundary and the temperature distribution in the phase change process are studied. The simulation results of two numerical methods are compared with the exact results. The numerical simulations show that the evolutions of moving boundary in the phase change process are influenced significantly by Stefan numbers and the temperature distributions in the phase change zone show linear decreasing trends. Moreover,the simulation results of two numerical methods have high precision and also there is a good agreement between the simulation results and the exact results ,which indicate that the two numerical methods constructed are feasible. Therefore,these researches can provide a reference for solving the solid melting problem.