Singular Cell Adaptive Method for Adaptively Refined Cartesian Grid in the Simulation of Flow around Airfoil

A novel adaptive method for singular geometric regions was proposed. Combined with conventional cut cell adaption, curvature cell adaption and solution adaption, adaptively refined Cartesian grid was automatically generated after geometries had been specified by users. Solid wall boundary was implemented by ghost body-cell method which efficiently relieved the time step restriction of small cut cells. Flow field was well resolved on adaptively refined Cartesian grid with finite volume method. Transonic flow around the RAE2822 airfoil and subsonic flow around the Suddhoo four-element airfoil are carefully investigated, which validate the efficiency of current approach and its feasibility in complicated geometric regions.