The lattice Boltzmann equation method in three dimensions used to analyze compressible thermal flow in 30 MeV cyclotrons. Cyclotron produced radionuclides have diagnostic applications in nuclear medicine. This cyclotron has horizontal conically shaped and window air cooling in the front and water cooling of the body. Gas heated by irradiation. This scheme is a new type of simulation method for solving the time dependent Navier–Stokes equations in a compressible flow regime. The improved model is convenient to compromise the high accuracy and stability. The included dispersion term can effectively reduce the numerical oscillation at discontinuity. The lattice Boltzmann scheme with uniform mesh resolution is applied as a numerical research tool.