We propose a novel approach to approximate numerically shock waves. The method combines the unstructured shock-fitting approach developed in the last decade by some of the authors, with ideas coming from embedded boundary techniques. The numerical method obtained allows avoiding the re-meshing phase required by the unstructured fitting method, while guaranteeing accuracy properties very close to those of the fitting approach. This new method has many similarities with front tracking approaches, and paves the way to shock-tracking techniques truly independent on the data and mesh structure used by the flow solver. The approach is tested on several problems showing accuracy properties very close to those of more expensive fitting methods, with a considerable gain in flexibility and generality.

我们提出了一种新颖的方法来近似数值冲击波。该方法结合了一些作者在过去十年中开发的非结构减震方法，以及来自嵌入式边界技术的思想。所获得的数值方法可以避免非结构拟合方法所需的重新啮合阶段，同时保证精度特性非常接近于拟合方法。这种新方法与前端跟踪方法有许多相似之处，并为真正独立于流量求解器使用的数据和网格结构的冲击跟踪技术铺平了道路。该方法在几个问题上进行了测试，这些问题显示出与非常昂贵的拟合方法非常接近的精度属性，并且在灵活性和通用性上都有相当大的提高。