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I'm looking for a benchmark for the flow past square cylinder problem in 2D to compare my results. I have found some papers, but it seems that there are different results in different papers. I want to see the streamline and drag coefficient and lift coefficient . So do you know a famous paper which could be seen as a benchmark for others?

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  • $\begingroup$ Have you look for it in Google Scholar? What about this? $\endgroup$ – nicoguaro Nov 30 '16 at 17:31
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    $\begingroup$ The very first result when googling "flow past cylinder benchmark": math.u-psud.fr/~maury/paps/NUM_NS.BenchmarkTurek.pdf $\endgroup$ – Christian Clason Nov 30 '16 at 18:46
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    $\begingroup$ You did not mention that what you want are the contours. If that's what you want you should add it to your question. On the other hand, why do you need third benchmark? Are you verifying a code? Maybe you can use Manufactured Solutions. $\endgroup$ – nicoguaro Dec 1 '16 at 14:07
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    $\begingroup$ @Omerta -- of course the LBM solves a PDE. It may be formulated as an integrodifferential equation, but in any case there is an underlying equation that the LBM solves, and this can be used in the method of manufactured solutions. $\endgroup$ – Wolfgang Bangerth Dec 2 '16 at 15:40
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    $\begingroup$ @WolfgangBangerth -- I agree with you and would like to second your point. Although MMS is less often used with LBM, it can be used quite easily as long as the right form of the source term is used. I have used it in the context of LBM for a much more complex equation than the traditional Navier-Stokes: sciencedirect.com/science/article/pii/S0021999115001916 $\endgroup$ – BlaB Dec 3 '16 at 3:59
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I believe this paper by Breuer et al. which uses both the lattice Boltzmann and the finite volume method could be of interest for you. There is tremendous information therein and I have used it before as a benchmark. I am not sure if it is THE reference, but it is a good one (and cited above 300 times)

http://www.sciencedirect.com/science/article/pii/S0142727X99000818

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This is the work and data from Turek and group

http://www.featflow.de/en/benchmarks/cfdbenchmarking/flow/dfg_benchmark2_re100.html

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    $\begingroup$ I see flow past a circular cylinder in that paper but not the example of flow past a square cylinder that the OP requested. Did I miss something? $\endgroup$ – Bill Greene May 5 '17 at 15:21

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