A coupled mesoscopic modeling framework for simulating hydro-morphodynamic evolution

Owing to its simplicity and computational efficiency, the lattice Boltzmann method has recently been utilized in simulating morphodynamic processes. However, a limitation is that the supercritical flows cannot be simulated stably. In order to overcome this deficiency, a coupled mesoscopic modelling framework is proposed, where a discrete Boltzmann model is used for hydrodynamic modeling, while the standard lattice Boltzmann model is adopted for morphodynamic simulation. Numerically, the non-oscillatory and non-free-parameter dissipation scheme is employed to solve the discrete Boltzmann model, while the classical stream-collision scheme is kept for the lattice Boltzmann part. A series of classical one-dimensional and two-dimensional test cases was conducted to evaluate the proposed model. The findings demonstrate its capability to reliably and accurately simulate morphodynamic evolution across both subcritical and supercritical flow regimes. © 2025 Author(s).