Supersonic flow simulations by a three-dimensional multispeed thermal model of the finite difference lattice Boltzmann method

A three-dimensional multispeed thermal model of the finite difference lattice Boltzmann method (FDLBM) is proposed. In the FDLBM we can select particle velocities independently from the lattice configuration. Particle velocities of the proposed model consist of vectors pointing to the vertex from the center of a dodecahedron and icosahedron. The model stably performs simulations in a wide range, from subsonic to supersonic flows. To verify the model, simulations of Couette flow, normal shock wave and supersonic nozzle are performed. All results agree with the theoretical predictions.