Optimal Transport Control an Application to the Steel Industry

最优运输控制在钢铁行业的应用

• 批准号: 2278918
• 金额: --
• 依托单位: University of Edinburgh
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2278918
• 关键词: Optimal; Transport; Control; Application; Steel

TaTa Steel, a steel company based in the Netherlands need models of the strucutre of steel to test out the mechanical properties, once they have a steel that looks interesting they can produce it and see if it has desirable properties. This is done using the theory of optimal transport control to produce Laguerre diagrams which model the grains in the steel. The start of the PhD will be concerned with implementing and speeding up current methods in MATLAB using techniques from numerical linear algebra, there are a number of different directions in which I could go in after that. One of which, would be coming up with new ways to produce more accurate models of steel and take into account any other properties of the steel. We currently specify the volumes of the grains but we may wish to specify other things such as aspect ratio. We also may wish to alter the shape of the grains outputted by the model to more acurately represent the grains. Beyond this, it would depend on the needs of TaTa steel.

荷兰钢铁公司 TaTa Steel 需要钢材结构模型来测试其机械性能，一旦他们拥有看起来有趣的钢材，他们就可以生产它并看看它是否具有理想的性能。这是使用最佳传输控制理论来完成的，以生成对钢中晶粒进行建模的拉盖尔图。博士学位的开始将涉及使用数值线性代数技术在 MATLAB 中实现和加速当前方法，此后我可以进入许多不同的方向。其中之一是提出新方法来生产更精确的钢材模型，并考虑钢材的任何其他特性。我们目前指定了颗粒的体积，但我们可能希望指定其他内容，例如长宽比。我们还可能希望改变模型输出的颗粒的形状，以更准确地表示颗粒。除此之外，还取决于TaTa钢的需求。