A Multi-solver Scheme for Viscous Flows Using Adaptive Cartesian Grids and Meshless Grid Communication

This work concerns the development of an adaptive multi-solver approach for CFD simulation of viscous flows. Curvilinear grids are used near solid bodies to capture boundary layers, and stuctured adaptive Cartesian grids are used away from the body to fill the majority of the computational domain. An edge-based meshless scheme is used in the interface region to connnect the near-body and off-body codes. We show that the combination of a body-fitted grid near the surface coupled with an adaptive Cartesian grid system away from the surface leads to a highly efficient scheme with sharp feature resolution. The use of a meshless flow solver to interface the body-fitted and Cartesian grid systems leads to seamless grid communication without many of the complexities inherent in traditional Chimera overset grid interpolation schemes. The hierarchical structure of the nested Cartesian grids may be exploited to achieve multigrid convergence for steady problems and for use in dual-time stepping algorithms for unsteady problems. Results of two-dimensional steady airfoil calculations are presented.