A Multigrid Technique for Two-Dimensional Grid Coarsening Using Edge-Collapsing

This paper presents a multigrid technique employing an edge-collapsing strategy for two-dimensional grid coarsening in Computational Fluid Dynamics (CFD) simulations. The method effectively generates coarser grids while preserving essential geometric and topological properties, crucial for maintaining the integrity of the computational domain. This approach addresses the challenges of creating high-quality coarse grids in hybrid meshes, which is vital for accurate and efficient simulations. By improving the consistency of information transfer across grid levels, the technique accelerates convergence and significantly reduces computational time. Validation through simulations of the NACA 6412 and RAF 89 airfoil demonstrates that the method achieves notable efficiency improvements without compromising accuracy. Numerical results show that our multigrid technique is practical for two-dimensional CFD simulations, with the potential for adaptation to more complex grid structures.