Within a continuum framework, flows featuring shock waves can be modelled by means of either shock capturing or shock fitting.\r\nShock-capturing codes are algorithmically simple, but are plagued by a number of numerical troubles, particularly evident when\r\nshocks are strong and the grids unstructured. On the other hand, shock-fitting algorithms on structured grids allow to accurately\r\ncompute solutions on coarse meshes, but tend to be algorithmically complex. We show how recent advances in computational\r\nmesh generation allow to relieve some of the difficulties encountered by shock capturing and contribute towards making shock\r\nfitting on unstructured meshes a versatile technique
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