Unstructured meshes have made significant inroads in industrial applications of Computational Fluid Dynamics (CFD) due to their inherent ability to more easily discretize complex geometrical domains and incorporate adaptive strategies. It is well established that such meshes will play a growing role in the numerical simulation of inviscid and viscous flows. The mesh adaptation strategy is demonstrated to be a powerful tool to improve the solver accuracy and to handle large-scale simulations. To increase the accuracy and reduce the computational costs, the strategy consists of refining the grid in regions where physical details require more nodes to be well captured while coarsening in regions where the density of nodes is more than needed. In the presence of multiple shocks, one needs several solution-adaptation cycles to capture all shocks. Meshes tend to migrate towards the stronger shocks, at the detriment of the weaker ones and it is almost impossible to capture the weaker shocks to the same level of accuracy. To overcome this shortcoming, a shock-filter pre-processing model that allows capturing all shocks, no matter their strength, in a limited number of adaptation cycles is proposed. In this presentation I will give a short overview of the mesh adaptation strategy, present the shock filter model with an insight of the mathematical analysis of the model. The capability of the model to improve mesh adaptation efficiency in presence of multiple shocks will be demonstrated through several test cases.