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An implicit multiscale method with multiple macroscopic prediction for steadystate solutions of gas flow in all flow regimes is presented. The method isbased on the finite volume discrete velocity method (DVM) framework. At thecell interface a multiscale flux with a construction similar to discreteunified gas-kinetic scheme (DUGKS) is adopted. The idea of the macroscopicvariable prediction is further developed and a multiple prediction structure isformed. A prediction scheme is constructed to give a predicted macroscopicvariable based on the macroscopic residual, and the convergence is acceleratedgreatly in the continuum flow regime. Test cases show the present method is oneorder of magnitude faster than the previous implicit multiscale scheme in thecontinuum flow regime.

A multi-prediction implicit scheme for steady state solutions of gas flow in all flow regimes