Investigation of Upwind Schemes for Finite Element Analysis of Transonic Flow Over Thin Airfoils

摘要

Two finite element upwind techniques were investigated to see if convergent solutions could be obtained from the transonic potential equation for steady flow over thin airfoils. The first technique involves the use of parabolic upwind functions, that when added to the shape functions weight the upstream node in the supersonic region more than the downwind nodes. The second technique integrates the finite element equations over the area that influences the solution (i.e., the area inside a mach cone). (Author)