Euler correction method for two- and three-dimensional transonic flows

An Euler correction method, based on the Clebsch formulation of the Euler equations, has been developed to improve shock calculations in full-potential methods. In the Clebsch treatment of steady rotational flows, the velocity is decomposed into potential and rotational components, written in terms of scalar functions. The potential part is computed from the continuity equation using a modified version of an existing finite-volume full-potential solver; the rotational parts are determined analytically from the momentum equation based on small perturbation approximations. The solutions obtained for airfoils and wing/bodies are compared with those using the time-marching Euler methods. The agreement between the results obtained using these two approaches is good.