Journal of Ocean Engineering and Science

Volume 4, Issue 3

(1)Lattice Boltzmann method for consolidation analysis of saturated clay

Pyol Kim ^a,∗, Yong-Gun Kim ^b, Chung-Hyok Paek ^a, Jun Ma ^a

^aFaculty of Geology, Kim Il Sung University, Pyongyang 999093, Democratic People’s Republic of Korea

^bFaculty of Global Environmental Science, Kim Il Sung University, Pyongyang 999093, Democratic People’s Republic of Korea

Received 18 March 2019; received in revised form 7 April 2019; accepted 9 April 2019

Available online 15 April 2019

Abstract

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 one-

dimensional (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.

This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Keywords: Saturated clay; Lattice Boltzmann method; Consolidation; Time-dependent loading.