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首页> 外文期刊>Engineering analysis with boundary elements >Application of BEM and sensitivity analysis to the solution of the governing diffusion-convection equation for a continuous casting process
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Application of BEM and sensitivity analysis to the solution of the governing diffusion-convection equation for a continuous casting process

机译：边界元法和灵敏度分析在连铸控制扩散对流方程解中的应用

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This paper presents a two-dimensional diffusion-convection boundary problem which models a continuous casting process of a pure substance (e.g. copper). The boundary problem is formulated for both liquid and solid subdomains separated by a phase change front. Its location is unknown and has to be updated during the iteration process utilising the so-called front tracking algorithm. The solution procedure is based on the Boundary Element Method and involves the total derivative of the temperature and relevant sensitivity coefficients to find a correct position of the phase change front. In order to considerably reduce the number of degrees of freedom in the front tracking algorithm, the position and shape of the phase change front is interpolated by a small number of Bezier segments. Numerical examples are included to demonstrate the main features of the developed algorithms.
机译：本文提出了二维扩散对流边界问题，该问题模拟了纯物质（例如铜）的连续铸造过程。对于由相变前沿分开的液体和固体子域，都提出了边界问题。它的位置是未知的，必须在迭代过程中使用所谓的前端跟踪算法进行更新。求解过程基于边界元法，涉及温度的总导数和相关的灵敏度系数，以找到相变前沿的正确位置。为了显着减少前跟踪算法中的自由度数量，相变前的位置和形状由少量的贝塞尔曲线段进行插值。包括数值示例，以证明所开发算法的主要特征。

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