  We propose a Hermite spectral method for the inelastic Boltzmann equation,
which makes two-dimensional periodic problem computation affordable by the
hardware nowadays. The new algorithm is based on a Hermite expansion, where the
expansion coefficients for the VHS model are reduced into several summations
and can be derived exactly. Moreover, a new collision model is built with a
combination of the quadratic collision operator and a linearized collision
operator, which helps us to balance the computational cost and the accuracy.
Various numerical experiments, including spatially two-dimensional simulations,
demonstrate the accuracy and efficiency of this numerical scheme.
