High subsonic turbulent internal flow simulations using the lattice Boltzmann method with mass correction
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Mass leakage can be an important issue when dealing with non-body-fitted grid strategy such as in the lattice Boltzmann method (LBM), mainly when it is used to investigate problems involving inclined or curved boundaries in case of turbulent flows. A mass correction scheme has been recently proposed to solve this mass leakage issue for turbulent incompressible flows. In the present work, the mass correction scheme is extended to high subsonic turbulent internal flows and its effect on the mass leakage for different problems (e.g., turbulent compressible flows in inclined straight channels and curved tubes) is evaluated. The effects of different parameters (e.g., the Mach number and the inclination angle) on the mass leakage are investigated. It is found from these cases that mass leakage phenomena can be harmful to high subsonic turbulent flow applications by desymmetrizing results such as sectional velocity profile or skin friction in a turbulent channel. However, it is shown that the new mass correction scheme applied to high subsonic internal flows allows to recover the symmetry of the skin friction and the sectional velocity profiles by remarkably suppressing the mass leakage.
