Turbulent flow inside a cubic lid-driven cavity using moment representation lattice Boltzmann method

The present work numerically models the flow inside a cubic lid-driven cavity for Reynolds numbers up to 100 000 using the lattice Boltzmann method. Stable results using the numerical method are obtained, with an implementation of a new set of moment equations for the Dirichlet boundary conditions, allowing approximately one order of magnitude increase in the maximum numerically stable Reynolds number for a given resolution. When evaluating the flow inside the cavity, the flow regime change occurred between Reynolds numbers 20 000 and 25 000, where the core of the turbulent dissipation moves from the bottom of the cavity toward the downstream wall. For Reynolds numbers higher than 50 000, the dissipation was localized near the moving lid. Additionally, negative turbulence production is observed in the bottom wall due to negative velocity gradients caused by the Taylor–Görtler-like vortex colliding with the bottom of the cavity.