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Table 1 Results from benchmarks for both Re\(_{\mathrm{bm}}\): 20 and 100. The presented values are: drag coefficient \(c_D\), lift coefficient \(c_L\), recirculation length \(L_a\), and pressure drop \(\varDelta P\) (Re\(_{\mathrm{bm}} = 20\)); and maximum drag coefficient \(c_D^{\mathrm{max}}\), maximum lift coefficient \(c_L^{\mathrm{max}}\), Strouhal number St\(_{\mathrm{bm}}\), and pressure drop \(\varDelta P\) (Re\(_{\mathrm{bm}} = 100\)). All models (BGK, TRT, MRT, ELB, and RLB) were benchmarked at different sizes of D, which determined the domain size and grid resolution

From: A lattice Boltzmann study of 2D steady and unsteady flows around a confined cylinder

Re\(_{\mathrm{bm}}\)20100
D\(c_D\)\(c_L\)\(L_a\)\(\varDelta P\)\(c_D^{\mathrm{max}}\)\(c_L^{\mathrm{max}}\)St\(_{\mathrm{bm}}\)\(\varDelta P\)
BGK
   85.565043\(-\)0.0000060.0780150.1203503.3206980.5961310.3000002.484148
   165.4949480.0098260.0828210.1180263.2354330.9787010.2880002.512677
   325.5384390.0110750.0845030.1164953.2012111.0042540.2970002.407901
   645.5867760.0105250.0845610.1175573.2278761.0085530.2970002.472417
TRT
   85.256980\(-\)0.0000040.0741430.1079673.3891660.7158570.3000002.430354
   165.4677870.0090200.0822910.1129243.3011110.9763340.2880002.607215
   325.5295320.0107950.0843470.1156253.2336441.0023220.2970002.450877
   645.5835860.0104550.0845610.1173473.2507071.0128750.2970002.466481
MRT
   85.483558\(-\)0.0000010.0787660.1177683.3731610.7899660.2880002.477695
   165.4705000.0095760.0827110.1178373.2198680.9711080.2880002.487184
   325.5243140.0109420.0844130.1171403.1903281.0026240.2970002.449581
   645.5706660.0104560.0845390.1176753.2238851.0074450.2970002.470400
ELB
   86.0330970.0010050.0703810.1232023.7871830.7112840.2760002.450770
   165.7109610.0134380.0776800.1198283.3674510.8221300.2880002.497117
   325.6622010.0135270.0806690.1179003.2964280.9733260.2970002.424312
   645.6793140.0135560.0809940.1184423.2689960.9847540.2970002.471387
RLB
   86.749440\(-\)0.0327370.0811560.1197444.3077800.9956330.2880002.622620
   165.7718000.0186460.0826220.1153423.3854201.015490.2880002.428900
   325.6254300.0167830.0843310.1162433.2684701.028160.2970002.477380
   645.6224900.0106960.0845390.1174633.2522301.013550.2970002.428690
Reference values [9]
 5.57000.01040.08420.11723.22000.99000.29502.4600
5.59000.01100.08520.11763.24001.01000.30502.5000