A graph-based approach uses a triangular adaptive mesh for simulating the propagation of light beams through the atmosphere. In this approach, the atmospheric turbulence and the beam wavefront are signals in a graph, with vertices representing an irregular distribution of signal points and edges between vertices showing their relationships. The adaptive mesh provides a better representation of the spatial variations in the beam wavefront, resulting in increased accuracy and resolution compared to regular meshing schemes. The adaptability of this approach to the propagated beam characteristics makes it a versatile tool for simulating beam propagation in various turbulence conditions.