A two- and three-dimensional lattice Bhatnager-Gross-Krook model is proposed to simulate viscoelastic media. Large-scale equations are derived using the Chapman-Enskog expansion. A simple linear relationship between the parameter E which is introduced to characterize the elastic behavior and the transverse velocity is obtained. Numerical simulations further confirm the analytical predictions.
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Qian et al. (1997) studied this question.
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