-Numerical modeling of the isotropic turbulence using Smooth Particle Hydrodynamics (SPH): The compressible flow is governed by Navier-Stokes equations, and large eddy simulation is used to model the turbulence. A hybrid remeshed smoothed particle hydrodynamics (hr-SPH) method is introduced, where the particle’s locations are periodically reinitialised (remeshed) onto a uniform grid, in which the conserved quantities are redistributed onto a new set of particles. The quantities are interpolated by the 3rd order M4′ kernel. -Compressible flow simulation around solid obstacles of complex geometry: The hr-SPH is coupled with Brinkman penalisation method, the main advantage is the efficient implementation for stationary and moving solid boundaries. The idea of the penalisation is to consider the obstacles as a porous media with porosity, and viscous permeability approaching zero.