Basic Elements of Unstructured Shock-Fitting: Results Achieved and Future Developments

An embedded shock-fitting technique on unstructured dynamic grids

“…In the unstructured shock-fitting algorithm proposed by Paciorri and Bonfiglioli [5], which has been used in conjunction with three different vertex-centered, Residual Distribution CFD solvers [28][29][30], the shock-points are inserted into the mesh by locally re-meshing the computational domain around the moving discontinuity. This is obtained by: i) splitting every shock-point into two distinct grid-points, corresponding to the upstream and downstream states, ii) cutting the grid along the shock-edges that connect the shock-points and iii) overlapping the upstream nodes on the corresponding downstream nodes.…”

UnDiFi-2D: an Unstructured Discontinuity Fitting code for 2D grids

“…In order to be able to manage all these topological changes it will be necessary to develop new algorithmic tools capable of detecting the occurrence of a change in the shocktopology and modify accordingly the fitted discontinuities and their mutual interactions. Some tests have been carried out on specific flow configurations, as shown in [94,95], but the development of a general purpose tool will not be trivial and will probably require the use of advanced, multi-disciplinary techniques such as those used in [93]. The effort which will be necessary to complete the development of the unstructured, shock-fitting technique and bring it to full maturity, is not modest and probably requires the merging of different skills and expertise.…”