Simulation of rotating objects in fluids with the cumulant lattice Boltzmann model on sliding meshes

In this paper a rotating grid technique for the cumulant lattice Boltzmann model is presented. The rotating object is embedded in a rotating mesh that communicates with an enclosing stationary mesh via compact quadratic interpolation. On the rotating mesh, Coriolis and centrifugal forces model the rotation with respect to the outer Eulerian frame of reference. A proper rotation of all moments is imposed in the interface between the moving and the static grid. The fluid flow is simulated by the cumulant lattice Boltzmann model. Profiles of pressure, velocity and shear stress are compared with the analytical solution of Taylor–Couette flow and we demonstrate that our scheme is second order accurate in space. As a second numerical benchmark, lift and drag coefficients for a rotating ellipsoidal cylinder in a laminar flow are simulated and successfully compared to a reference solution.