New discrete model Boltzmann equations for arbitrary partitions of the velocity space

Modified discrete Boltzmann equations ibr arbitrary partitions of the veloc ity space are established. The new equations can be derived From the contin uous Boltzmann equation and are a generalization of previous discrete-veloc ity models. They preserve mass, momentum. and energy, and an H-theorem hold s. The new model equations are tested by comparing their solutions with the analytical ones of the continuous Boltzmann equation for the Krook-Wu and the very hard particle models.