A three‐level generalized‐co‐ordinate group finite‐element method for compressible viscous flow

A consistent three‐level time‐split group finite‐element method, suitable for the computation of viscous compressible flows in irregular geometric domains, is described. Exploitation of the group¹² formulation permits an accurate and economical algorithm to be developed in a generalized‐co‐ordinate (ζ,η) space. A variable sweep cycle is used to accelerate convergence to the steady state. The method is demonstrated by computing laminar and turbulent flow past a trailing edge. The method uses an algebraic eddy viscosity model to represent turbulence and produces results in close agreement with the experiments and computations of Viswanath et al⁸.