NOVEL-APPROACH TO AERODYNAMIC ANALYSIS USING ANALYTICAL NUMERICAL MATCHING/

Analytical/numerical matching (ANM) is a hybrid scheme combining a low -resolution global numerical solution with a high-resolution local sol ution to form a composite solution. ANM is applied to lifting surfaces in steady potential flow to calculate the aerodynamic loading and ass ociated circulation distribution. The solution methodology utilizes ov erlapping smoothed doublets and local corrections to calculate the dou blet strength distribution along the airfoil chord. The global low-res olution solution is calculated numerically using smoothed doublet solu tions to the linear potential equation, and converges quickly. Simulta neous local corrections are done with high-resolution local analytical solutions. The global numerical solution is asymptotically matched to the local analytical solutions via a matching solution. The matching solution cancels the global solution in the near field, and cancels th e local solution in the far held. The method is very robust, offering insensitivity. to control-point location. No explicit wake geometry is assumed; therefore, a fixed- or free-wake model can be used. ANM prov ides high-resolution calculations from low resolution numerics with an alytical corrections, while avoiding the subtlety involving singular i ntegral equations, and their numerical implementation. The approach pr ovides a novel alternative treatment to lifting-surface aerodynamics.