NUMERICAL ANALYSIS OF EROSION PROCESSES.
Erosion processes, Numerical modeling, Lattice Boltzmann Method, Discrete Element Method, Immersed Moving Boundary Method.
The research aims at the two-dimensional study of laminar erosion phenomena using a computational code based on the numerical methods Lattice Boltzmann and Discrete Element. The code was developed using the C++ language to leverage its speed and object-oriented capabilities. The implemented Lattice Boltzmann method utilizes lattice cells for domain discretization and the MRT collision operator to ensure higher simulation accuracy. The Discrete Element Method employs discrete elements to represent soil particles in the domain, capable of varying geometric complexity. The hydrodynamic coupling of these methods was achieved using the Immersed Moving Boundary methodology for its ease of implementation. Validation of these methods was conducted through simulations using Poiseuille flow, varying the quantity and geometry of discrete elements, and the Reynolds number of the system. In all analyses, the code accurately simulated all proposed scenarios. Finally, the developed code represents a powerful tool for simulating erosion phenomena, efficiently capturing fluid-soil interactions.