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Many high-resolution hydrocodes have been applied in the astrophysical simulations, and most of them solve the Euler Equations. Here we present a new one, which is based on the gas-kinetic theory, {\sl i.e.} the approximate Boltzmann equation (BGK model). The differences between this code from some of other schemes is that it solves the Navier-Stokes equations, and no artificial numerical viscosity or dissipation mechanisms are needed to suppress the postshock oscillations. The applications of this code to several astrophysical problems, {\sl e.g.} the interaction between galaxy and inter-galactic medium and accretion flow past large graviting bodies, are presented.
