Optimal Transport Control an Application to the Steel Industry

总部位于荷兰的塔塔钢铁公司需要钢的结构模型来测试机械性能，一旦他们有了看起来有趣的钢，他们就可以生产它，看看它是否具有所需的性能。这是使用最优运输控制理论来生成拉盖尔图，该图模拟钢中的颗粒。博士学位的开始将致力于利用数值线性代数中的技术在MATLAB中实现和加速当前的方法，在此之后，我可以从许多不同的方向进行研究。其中之一是想出新的方法来生产更准确的钢材模型，并考虑到钢材的任何其他性能。我们目前规定了颗粒的体积，但我们可能希望指定其他内容，如纵横比。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，这将取决于塔塔钢铁的需求。

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.