KUNISHIMA Yuichi, KAJISHIMA Takeo. D Compressible Lattice Boltzmann Model and Its Appliaction to Low Mach Number Turbulent Flow[J]. Applied Mathematics and Mechanics, 2016, 37(12): 1296-1307. doi: 10.21656/1000-0887.370556
Citation: KUNISHIMA Yuichi, KAJISHIMA Takeo. D Compressible Lattice Boltzmann Model and Its Appliaction to Low Mach Number Turbulent Flow[J]. Applied Mathematics and Mechanics, 2016, 37(12): 1296-1307. doi: 10.21656/1000-0887.370556

D Compressible Lattice Boltzmann Model and Its Appliaction to Low Mach Number Turbulent Flow

doi: 10.21656/1000-0887.370556
  • Received Date: 2016-11-08
  • Rev Recd Date: 2016-11-28
  • Publish Date: 2016-12-15
  • We intend to improve the finite-difference lattice Boltzmann method (FDLBM) for the use of direct numerical simulation of aerodynamic sound.Using a feature of the LB-based solver, the constant advection velocity in the kinetic equation enables easy implementation of higher-order upwind difference schemes, resulting in high resolutions for sound waves as well as turbulent flow. We release a new particle model which recovers the compressible Navier-Stokes system with flexible specific heat ratio in the 3D space. In addition, we introduce a heat flux modification, which enables us to set Prandtl number freely under the Bhatnagar-Gross-Krook(BGK) collision operator. Our new method performs well in validation problems of weak acoustic waves in a shock tube, and laminar Taylor-Couette flow with a temperature gradient. We conduct a 3D simulation of flow around the NACA0012 aerofoil. The Reynolds number, Mach number and angle of attack are 2×105, 8.75×10-2 and 9° respectively. Our results are in good agreement with the experimental data about the position of the separation bubble near the leading edge and the Mach number dependence of the surface pressure fluctuation intensity.
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