  An implicit multiscale method with multiple macroscopic prediction for steady
state solutions of gas flow in all flow regimes is presented. The method is
based on the finite volume discrete velocity method (DVM) framework. At the
cell interface a multiscale flux with a construction similar to discrete
unified gas-kinetic scheme (DUGKS) is adopted. The idea of the macroscopic
variable prediction is further developed and a multiple prediction structure is
formed. A prediction scheme is constructed to give a predicted macroscopic
variable based on the macroscopic residual, and the convergence is accelerated
greatly in the continuum flow regime. Test cases show the present method is one
order of magnitude faster than the previous implicit multiscale scheme in the
continuum flow regime.
