The lattice Boltzmann method(LBM)has been widely employed in various areas of practical engineering to solve non-linear problems,due to such advantages as the simplicity of programming and the numerical efficiency.In ...The lattice Boltzmann method(LBM)has been widely employed in various areas of practical engineering to solve non-linear problems,due to such advantages as the simplicity of programming and the numerical efficiency.In this paper,a new numerical method for onedimensional(1D)consolidation analysis of saturated clay is proposed on the basis of the lattice Boltzmann method.At first,the lattice Bhatnagar-Gross-Krook(LBGK)model is used for 1D consolidation problem of saturated clay subjected to time-dependent loading under different types of initial and boundary conditions.In addition,the multiscale Chapman-Enskog expansion is applied to recover mesoscopic lattice Boltzmann equation to macroscopic consolidation equation.As a result of the numerical simulation for verification,the numerical results are proved to be in good agreement with the analytical solutions available in previous literature.Through the evaluation of convergence and accuracy,it is demonstrated that the proposed method is more accurate and reliable than the finite difference method(FDM)for 1D consolidation analysis of saturated clay.展开更多
文摘The lattice Boltzmann method(LBM)has been widely employed in various areas of practical engineering to solve non-linear problems,due to such advantages as the simplicity of programming and the numerical efficiency.In this paper,a new numerical method for onedimensional(1D)consolidation analysis of saturated clay is proposed on the basis of the lattice Boltzmann method.At first,the lattice Bhatnagar-Gross-Krook(LBGK)model is used for 1D consolidation problem of saturated clay subjected to time-dependent loading under different types of initial and boundary conditions.In addition,the multiscale Chapman-Enskog expansion is applied to recover mesoscopic lattice Boltzmann equation to macroscopic consolidation equation.As a result of the numerical simulation for verification,the numerical results are proved to be in good agreement with the analytical solutions available in previous literature.Through the evaluation of convergence and accuracy,it is demonstrated that the proposed method is more accurate and reliable than the finite difference method(FDM)for 1D consolidation analysis of saturated clay.
