  A novel formulation of fluid dynamics as a kinetic theory with tailored,
on-demand constructed particles removes any restrictions on Mach number and
temperature as compared to its predecessors, the lattice Boltzmann methods and
their modifications. In the new kinetic theory, discrete particles are
determined by a rigorous limit process which avoids ad hoc assumptions about
their velocities. Classical benchmarks for incompressible and compressible
flows demonstrate that the proposed discrete-particles kinetic theory opens up
an unprecedented wide domain of applications for computational fluid dynamics.
