Fig. 12From: Adaptive wave-particle decomposition in UGKWP method for high-speed flow simulationsNumerical particle mass fraction of the original UGKWP method and the AUGKWP method, the exponential function of the cell Knudsen number \(e^{-\Delta t/\tau }\), and the gradient-length local Knudsen number \({Kn}_{Gll}\) for the Sod tube at \({Kn}= 10^{-4}\)Back to article page