Generalization of composite dynamics for the lattice Boltzmann method

A generalized composite dynamics (GCD) framework is presented for the lattice Boltzmann method (LBM). It leverages synergies of various simple collision operators to model complex physical processes. The framework is validated by recovering semi-permeable fluid flow methods. It provides mathematical justification for the incorporation of forces, addressing a gap in the literature. The versatility of this framework is demonstrated by analyzing a flux boundary condition. The GCD framework opens innovative possibilities for simulating complex physical processes using LBM.