The soil arching mechanism is partly responsible for the transfer of stresses away from the soft subsoil and towards the relatively stiff column heads in column-supported embankments. Experimental studies have shown that the load transfer resulting from soil arching evolves progressively with increasing subsoil settlement. Past numerical studies exploring soil arching in column-supported embankments have typically not been able to capture this progressive development of load transfer. A series of improvements on past numerical studies are outlined that allow for improved simulation of the soil arching mechanism in column-supported embankments. These improvements include implementation of a strain-softening constitutive model, non-local integral type regularization and the application of the arbitrary Lagrangian- Eulerian finite element method. The benefits of these improvements are observed through comparison of simulation results to recent experimental studies of column-supported embankments. The comparison indicates that these techniques allow key aspects of soil arching kinematics and mechanics to be captured.