This research project aims to develop a novel kind of high order gasdynamic solvers for structured meshes able to compute viscous flows with shock waves.
These solvers will be based on an approach recently developed by the PI for gasdynamic solvers for unstructured meshes that combines the shock-fitting technique with some ideas coming from embedded boundary techniques. This new shock-fitting approach breaks the existing link in the old boundary shock-fitting techniques between the topology of the computational grid and the shock position.
This connection was very limiting in the case of structured grids due to the rigid topology of the structured grids and has prevented the development of shock-fitting solvers for structured grids able to compute complex flows.
The use of this new shock-fitting approach will allow to remove these constraints and to obtain a new class of solvers much more accurate than those used today in DNS and LES simulations or in direct acoustic simulations of flows with shock waves.
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