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A multi-scale method is developed that couples a macro-scale, high-order resolution particle-mesh method for computation of particle-laden compressible flow in blast waves and high-speed combustors, with a meso-scale, full-resolution, high-fidelity first principles model for direct numerical simulations of shocked flows. At the macro scale the particles are modeled using reduced point cloud methods that rely on semi-empirical forcing models. The semi-empirical models are closed through metamodels that assimilate meso-scale physics through simulations in a multi-dimensional parameter space. The performance of several meta-models are compared and assessed. Meso, macro and multi-scale computations of shock interaction with a cloud of particles are performed for a range of parameters to test the method.