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

An implicit multiscale method with multiple macroscopic prediction for steady state solutions of gas flow in all regimes is presented. The based on the finite volume discrete velocity (DVM) framework. At cell interface, a numerical flux construction similar to unified gas-kinetic scheme (DUGKS) applied ensure property and make free from influence Knudsen number. idea variable adopted further developed form an efficient method, where second order Navier-Stokes (NS) equation constructed predict variables residuals microscopic system, then structure formed. accurate procedure endows system high convergence speed regimes, especially continuum regime NS solution directly predicted accelerated greatly. Test cases show that present efficient, one magnitude faster than previous prediction-based regime.