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A comparison of three error estimation techniques for finite-volume solutions of compressible flows

✍ Scribed by C. Ilinca; X.D. Zhang; J.-Y. Trépanier; R. Camarero

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
738 KB
Volume
189
Category
Article
ISSN
0045-7825

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✦ Synopsis

Three techniques to obtain error estimates for ®nite-volume solutions on unstructured grids are compared in this study. The ®rst estimation technique uses Richardson extrapolation involving three ¯ow solutions on dierent grids. Error estimates on these grids are computed simultaneously with the order of convergence. The second technique is based on the dierence between the computed solution and a higher-order reconstruction obtained using the least-squares method. Finally, a third technique solves an error equation driven by source terms computed from the ¯ux jump at cell interfaces. The ¯ows solved as test cases are governed by the twodimensional Euler equations, and the discretization employs Roe's ¯ux dierence splitting scheme. Comparisons with exact errors allow the eciency of each error estimation technique to be assessed for various types of ¯ows.

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