An implicit kinetic inviscid flux for predicting continuum flows in all speed regimes

In this study, the kinetic inviscid flux (KIF) is improved and an implicit strategy coupled. The recently proposed KIF a kind of flux, whose microscopic mechanism makes it good at solving shock waves, with advantages against instability phenomenon. When developing KIF, phenomenon noticed that vector splitting (KFVS) part in boundary layers not only reduces accuracy, but seriously Courant-Friedrichs-Lewy (CFL) number as well. As result, paper, new weight about how to combine KFVS method well totally thermalized transport (TTT) method. Besides admitting using larger CFL numbers, brings more accurate numerical results like pressure, friction coefficient heat when complex supersonic/hypersonic flows. order examine validity, accuracy efficiency present method, six test cases, covering whole speed regime, are conducted, including hypersonic viscous flow past cylinder, double-cone flow, double-ellipsoid laminar layer interaction, supersonic around ramp segment lid-driven cavity flow. scheme corresponding mechanisms be discussed detail.