Physical Review E
046702 (26 pages)
We apply the gas-kinetic scheme (GKS) for the direct numerical simulations (DNSs) of compressible decaying homogeneous isotropic turbulence (DHIT). We intend to study the accuracy, stability, and efficiency of the gas-kinetic scheme for DNS of compressible homogeneous turbulence depending on both flow conditions and numerics. In particular, we study the GKS with multidimensional, quasi-one-dimensional, dimensional-splitting, and smooth-flow approximations. We simulate the compressible DHIT with the Taylor microscale Reynolds number Reλ =72.0 and the turbulence Mach number Mat between 0.1 and 0.6. We compute the low-order statistical quantities including the total kinetic energy K (t), the dissipation rate ε (t), the skewness Su (t), and the flatness Fu (t) of the velocity field u (x,t). We assess the effects on the turbulence statistics due to the approximations made in the treatment of fluxes, the flux limiter, the accuracy of the interpolation, and the bulk viscosity. Our results show that the GKS is adequate for DNS of compressible homogeneous turbulence as far as the low-order turbulence statistics are concerned. © 2009 The American Physical Society.
Original Publication Citation
Liao, W., Peng, Y., & Luo, L. S. (2009). Gas-kinetic schemes for direct numerical simulations of compressible homogeneous turbulence. Physical Review E, 80(4), 046702. doi:10.1103/PhysRevE.80.046702
Liao, Wei; Peng, Yan; and Luo, Li-Shi, "Gas-Kinetic Schemes for Direct Numerical Simulations of Compressible Homogeneous Turbulence" (2009). Mathematics & Statistics Faculty Publications. 10.