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We propose a Hermite spectral method for the inelastic Boltzmann equation,which makes two-dimensional periodic problem computation affordable by thehardware nowadays. The new algorithm is based on a Hermite expansion, where theexpansion coefficients for the VHS model are reduced into several summationsand can be derived exactly. Moreover, a new collision model is built with acombination of the quadratic collision operator and a linearized collisionoperator, 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.