A time-split finite element method for solving the compressible, Navier-Stokes equations in generalized coordinates is introduced. The method makes use of the group formulation which has been shown to be more economical and accurate than the conventional finite element method for a related problem. The group formulation is combined with Lagrange elements which permits the directional mass and difference operators to be separated and an efficient three-level time-split computational algorithm to be constructed. The present procedure is made more economical by applying the finite element method and using the isoparametric formulation to evaluate the transformation parameters, only. The method is illustrated by computing the flow at the trailing-edge of an aerofoil and the results are discussed.
|Title of host publication||Numerical Methods in Laminar and Turbulent Flow, Proceedings of the International Conference|
|Editors||C. Taylor, J.A. Johnson, W.R. Smith|
|Place of Publication||Swansea, UK|
|Number of pages||11|
|Publication status||Published - 1983|