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.

翻译：我们提出一种新型数值逼近激波的方法。该方法将部分作者近十年来发展的非结构化激波拟合方法与嵌入边界技术相结合，由此获得的数值方法无需进行非结构化拟合方法所需的网格重构，同时可保证与拟合方法极为接近的精度特性。该新方法与波前追踪方法具有诸多相似之处，为发展真正独立于流场求解器所用数据与网格结构的激波追踪技术奠定了基础。通过在多个问题上的数值测试表明，该方法在保持与昂贵拟合方法相近精度的同时，在灵活性与普适性方面实现了显著提升。