中文摘要：

现有有限元、边界元方法模拟高炉炉缸侵蚀状况需要对炉缸进行网格划分的前处理，对于自由变动边界问题，这类模型计算十分复杂。应用基于适体坐标的有限差分方法模拟高炉炉缸侵蚀状况：通过求解Possion微分方程建立适体坐标系，将炉缸的不规则边界变换到规则的计算平面上，利用有限差分方法在计算平面上离散并数值求解热传导方程，给出高炉炉缸等温线的数值模拟。该方法计算简单，运行时间短，适合在线实时监测，邯钢7号高炉在线运行表明模型可以动态地跟踪炉缸侵蚀状况。

英文摘要：

The existing finite element method and boundary element method simulating the blast furnace hearth erosion involve con- structing mesh by hand, and the computation is complex when dealing with free surface. By solving the Possion differential equations, the body-fitted coordinates is introduced to trahsform the hearth irregular border into calculative plane. According to condition of the thermal electric couples in hearth of N0.7 blast furnace at Handan Iron ＆ Steel Co. Ltd, the numerical simulation of blast furnace hearth is given through solving the heat conduction equations in calculative plane. The model has been used in No.7 blast furnace at Handan Iron ＆ Steel Co. Ltd and it can track the erosion state of blast furnace hearth dynamically.