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A three-dimension physical model of ceramic foam and a gas/solid two-phase flow model are established, in which the diesel particulate diffusion trapping and inertia collision trapping are concerned. The gas/solid flow in the three-dimension model is simulated. The diffusion trapping efficiency and inertia collision trapping efficiency are calculated under different gas flow velocities, particulate sizes and ceramic foam parameters using the numerical model. The research results deepen the understanding of trap mechanism of ceramic foam and provide the scientific basis for selecting ceramic foam parameters and designing a particulate trap that uses ceramic foam.