Abstract
AbstractThis paper reports an intercomparison of three second‐order accurate reconstruction schemes to predict 2D steady‐state compressible Euler and Navier–Stokes flows on unstructured meshes. The schemes comprise one monotone slope limiter (Barth and Jespersen, A1AA Paper 89‐0366, 1989) and two approximately monotone methods: the slope limiter due to Venkatakrishnan and a data‐dependent weighting least‐squares procedure (Gooch, Journal of Computational Physics, 1997; 133:6–17). In addition to the 1D scalar wave problem, comparisons were performed under two inviscid test cases: a supersonic 10° ramp and a supersonic bump; and two viscous laminar compressible flow cases: the Blasius boundary layer and a double‐throated nozzle. The data‐dependent oscillatory behaviour is found to be dependent on a user‐supplied constant. The three schemes are compared in terms of accuracy and computational efficiency. The results show that the data‐dependent procedure always returns a numerical steady‐state solution, more accurate than the ones returned by the slope limiters. Its use for Navier–Stokes flow calculations is recommended. Copyright © 2001 John Wiley & Sons, Ltd.
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