Numerical simulation of shock/boundary-layer interaction using an unstructured shock-fitting technique

An unstructured, shock-fitting algorithm, originally developed to simulate inviscid flows, has been further developed to make it capable of dealing with shock-wave/boundary-layer interactions (SWBLI). This paper illustrates the newly implemented algorithmic features of this technique and its application to two-dimensional flow-configurations representative of three different SWBLI patterns. A detailed comparison between the numerical solutions obtained using the aforementioned shock-fitting and a state-of-the-art shock-capturing technique on nearly identical meshes are also given. More specifically, qualitative and quantitative gridconvergence analyses are presented to show the significant achievements in terms of reduced discretization error and improved order-of-convergence that shock-fitting delivers, compared to shock-capturing.

Automated summary

This paper presents a newly implemented algorithm for shock-fitting to handle shock-wave/boundary-layer interactions (SWBLI), with comparisons to a state-of-the-art shock-capturing technique. The qualitative and quantitative grid convergence analyses show significant achievements in terms of reduced discretization error and improved order-of-convergence with shock-fitting compared to shock-capturing.