Abstract In order to apply two-scale coupled approach for solid phase to saturated soil,a scheme coupling fluid and discrete-continuous solids is established. For fluid-phase,based on the ALE(arbitrary Lagrangian Eulerian) description which is convenient to control moving boundaries and meshes,unified fluid dynamic equations are established. Besides,the fluid-solid interaction terms which exhibit unified forms and pick up fluid-solid interaction forces in the discrete and continuous domains respectively,are incorporated in these fluid equations. Then based on the Characteristic-based split algorithm,the split of the developed fluid dynamic equations is performed to obtain the proper forms suitable for a standard Galerkin-type discretization procedure. Finally,this proposed method is applied to simulation of underground structure buried in liquefiable soil under seismic excitation,which demonstrates that this scheme incorporates discrete-continuous solids and unified fluid dynamic equations can effectively depict non-continuous contacts between particles and the underground structure,decrease the number of particles for simulation,and take into account moving boundaries for fluid-phase caused by underground structure as well.
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