Premium
On the Treatment of the Kutta‐Joukowski Condition in Transonic Flow Computations
Author(s) -
Coclici C.A.,
Wendland W.L.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199908)79:8<507::aid-zamm507>3.0.co;2-b
Subject(s) - transonic , computation , flow (mathematics) , computer science , aerospace engineering , physics , mechanics , aerodynamics , engineering , algorithm
A finite element‐boundary element coupling procedure is applied to the computation of a transonic, compressible full potential flow past an airfoil. We require the Kutta‐Joukowski condition as continuity of the pressure field at the trailing edge. Under the assumption of subsonic flow at the trailing edge and using classical regularity results for the solutions of elliptic first order systems, we prove the Hölder continuity of the velocity in a vicinity of the trailing edge and get a local representation formula for the velocity. The Kutta‐Joukowski condition enforces that the so‐called stress intensity factor in this representation vanishes. The numerical FEM‐BEM coupling procedure is executed in spaces of finite element functions characterized by the linear side condition of vanishing approximate stress intensity factors. The linear side condition is formulated in terms of the Maz'ya functional for the stress intensity factor. Detailed numerical implementation and numerical results are presented.