Cole-Hopf Transformation Based Lattice Boltzmann Model for One-dimensional Burgers’ Equation<xref rid="ctp_69_3_329fn1" ref-type="fn">*</xref> <fn id="ctp_69_3_329fn1"> <label>*</label> <p>Supported by the National Natural Science Foundation of China under Grant No. 51576079</p> </fn>

Cole-Hopf Transformation Based Lattice Boltzmann Model for One-dimensional Burgers’ Equation* *

Supported by the National Natural Science Foundation of China under Grant No. 51576079

Qi Xiao-Tong^{1, 2}, Shi Bao-Chang^{1, 2}, Chai Zhen-Hua^{1, 2, †}

GREs of present LB model for Example 2 (Δx = 1/10, 1/20, 1/25, 1/40, 1/50, 1/80, 1/100), the slope of the inserted line is 2.0, which indicates the present LB model has a second-order convergence rate.