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A generalized Galerkin technique originally developed by Donea, Belytschko and Smolinski for solving the steady convection—diffusion equation using elements with quadratic interpolation has been modified to extend its application to the case of geometrically distorted 1D and 2D elements. The numerical results indicate that the modified scheme gives accurate results and presents a rather small sensitivity to element distortions.

The finite element solution of turbulent flows using a (k‐ε) turbulence model usually presents severe numerical difficulties. Develops an iterative (k‐L)‐predictor/ε‐corrector algorithm for overcoming this and solving the (k‐ε) turbulent models. The iterative scheme achieves convergence in L (length scale) which is proportional to (k1.5/ε). Numerical results indicate that the developed iterative algorithm is very robust.