Modeling the interaction between fluid flow and particle movement with discontinuous deformation analysis (DDA) method

Abstract

SUMMARYCoupled hydro-mechanical processes in granular media represent the interaction between solid particles movement and fluid flow during external and/or internal loading. The processes attract attention in geotechnical engineering since they cause many disasters such as landslide, slope collapse, boiling/quicksand and soil liquefaction, etc. This study presents a numerical method combining discontinuous deformation analysis (DDA) for mechanical calculation and finite element method for fluid flow simulation to model the interaction between solid particles' movement and fluid flow from microscopic point of view. The term of hydraulic pressure was newly formulated and introduced to the original DDA. The simplified examples are given to verify the new method, and the computational results correlate well with the theoretical calculations, further development is also considered.

Detection of contacts between three-dimensional polyhedral blocks for discontinuous deformation analysis

“…[36][37][38][39][40][41][42] However, the applications of 2-D DDA are inappropriate to many practical problems because the majority of discontinuities are not always perpendicular to the cross-section of the model. Therefore, it is desirable to develop three-dimensional (3-D) DDA for practical engineering applications.…”

Non-rigid disk-based DDA with a new contact model

“…However, little work has been done on the development of the DDA in particulate media and it is still at an early stage. Among the few DDA applications for particulate media are the works of Ke and Bray [8], Thomas [9] and Thomas and Bray [10] who demonstrated qualitatively the ability of the DDA to model the response of systems of disks, Soto-Yarritu and Martinez [11] who used this algorithm to model granular transport in vibrating feeders, and most recently, Koyama et al [12] who presented coupled solid circular particles movement and fluid flow processes in porous media using combined DDA-FEM approach.…”

Three-dimensional discontinuous deformation analysis (3-D DDA) method for particulate media applications

“…O' Sullivan and Bray (2003) modified the spring formulation for the DDA. Recently, Koyama et al (2011) presented coupled solid circular particles movement and fluid flow processes in porous media using combined DDA-FEM approach.…”

“…A penalty method is used to model the block interactions by springs. The DDA method has four main advantages over the DEM (Jing and Hudson 2002, Jing 2003, MacLaughlin and Doolin 2006, Bobet et al 2009, Koyama et al 2011 (1) The DDA is unconditionally stable due to its implicit time integration and can use significantly larger time steps. (2) The DDA method does not require an artificial damping term to dissipate energy by using an energy approach.…”