Paper presented at the 8th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Mauritius, 11-13 July, 2011.
In the present work numerical simulations of un-
steady flows with moving shocks are presented. An
unsteady mesh adaptation method, based on error
equidistribution criteria, is adopted to capture the
most important flow features. The modifications to
the topology of the grid are locally interpreted in terms
of continuous deformation of the finite volumes built
around the nodes. The Arbitrary Lagrangian Eule-
rian formulation of the Euler equations is then apply
to compute the flow variable over the new grid with-
out resorting to any explicit interpolation step. The
numerical results shows an increase in the accuracy
of the solution, together with a strong reduction of
the computational costs, with respect to uniform-grid
computations using a larger number of nodes.