Three-dimensional calculation of transonic viscous flows by an implicit method

Abstract

A new implicit finitevolume method for solving the three-dimensional Navier-Stokes equations for compressible fluids is presented and applied to the calculation of flows over swept wings at moderate Reynolds numbers. The method makes use of an explicit predictor-corrector scheme to calculate a provisional value, which is then corrected by using an implicit operator. The explicit part is a generalization of the centered Thornmen scheme, while the implicit operator is a combination of the inviscid schemes proposed by Lerate and the viscous treatment of Beam and Warming. Results are here presented for a swept wing between two parallel walls and for the finite wing ONERA M6 at Mx =0.8, zero incidence and Re^ = 1000. The computations are performed with a time-step about 5 to 10 times greater than the explicit step.