Hybrid Modelling Using Lattice Boltzmann and Finite Difference Methods of Dikes Effect on Sediment Transport and Morphological Processes with a Quasi-Tridimensional Approach

This paper presents the development of a quasi-three-dimensional model that utilizes an equilibrium technique to investigate the morphological change of a channel focused on transport of sediment.The authors developed a computational algorithm that integrates two numerical techniques, specifically the Lattice Boltzmann Method (LBM) and the finite-difference method (FDM), to perform a hybrid calculation.The aforementioned algorithm was employed to investigate the impact of dykes on the dynamics of channel flow, sediment transport, and bed evolution.To derive the three-dimensional velocity field, the Boltzmann lattice method is employed to compute the two horizontal components of the vertically integrated velocity.Subsequently, these two components are combined with a logarithmic vertical profile.The process of sediment particle transport can be divided into two components: the bed load transport rate and the suspended load transport rate.The latter determination is achieved through the computation of the equilibrium flow rate of suspended sediment, which is derived from the equilibrium concentrations and logarithmic velocities.by comparing its outputs to previous research on constant width channels and horizontal beds, especially in dykes, the model was validated.This model accurately predicts sediment transport as bed load and suspended load, which is important for understanding sediment dynamics around such structures.the model's ability to anticipate sediment erosion and deposition across the channel, providing crucial insights into river detours and other sedimentary processes.