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Driven Cavity :: Measurement equipment :: Odour Modelling  

Driven Cavity Flow

 
This is one of the standard test cases for laminar twodimensional flow. We run this experiment with the following configuration
  • equidistant grids with a resolution of 48x48 and 96x96 cells
  • timestep sizes of 0.005 and 0.002, computation into the stationary limit
  • Reynolds number 1000
  • VONOS scheme for the convective term
  • BiCGStab solver for the pressure poisson equation

Left: vorticity, Right: streamfuntion.



Horizontal velocity u through the vertical centerline in comparison with [1],[2]

y [1] [2] 48x48 96x96 '48x48'-[2] '96x96'-[2] ratio error
1.0000 -1.0000-1.0000-1.0000-1.0000 0.0000 0.0000 /
0.9766 -0.6593-0.6644-0.6421-0.6587 0.0224 0.0057 3.8913
0.9688 -0.5749-0.5808-0.5447-0.5772 0.0362 0.0036 10.0099
0.9609 -0.5112-0.5169-0.5002-0.5132 0.0167 0.0037 4.4722
0.9531 -0.4660-0.4723-0.4566-0.4673 0.0157 0.0050 3.1454
0.8516 -0.3330-0.3372-0.3220-0.3354 0.0153 0.0018 8.4640
0.7344 -0.1872-0.1887-0.1799-0.1873 0.0088 0.0014 6.2185
0.6172 -0.0570-0.0570-0.0530-0.0560 0.0040 0.0010 3.8762
0.5000 0.0608 0.0621 0.0616 0.0628-0.0004 0.0008 0.5658
0.4531 0.1065 0.1082 0.1061 0.1089-0.0021 0.0007 2.9986
0.2813 0.2781 0.2804 0.2734 0.2807-0.0069 0.0003 23.8491
0.1719 0.3829 0.3886 0.3703 0.3886-0.0183 0.0001 305.8935
0.1016 0.2973 0.3005 0.2667 0.2905-0.0337-0.0099 3.4017
0.0703 0.2222 0.2229 0.1923 0.2116-0.0306-0.0113 2.7124
0.0625 0.2020 0.2023 0.1734 0.1912-0.0290-0.0111 2.6046
0.0547 0.1811 0.1813 0.1544 0.1706-0.0269-0.0107 2.5063

Vertical velocity v tdrough tde horizontal centerline in comparison witd [1],[2]

x [1] [2] 48x48 96x96 '48x48'-[2] '96x96'-[2] ratio error
0.0000000.0000000.0000000.0000000.0000000.0000000.000000 /
0.031200-0.213880-0.227923-0.215317-0.2156700.0126050.0122521.028833
0.039100-0.276690-0.293687-0.273664-0.2790710.0200230.0146161.369999
0.046900-0.337140-0.355321-0.331272-0.3404430.0240500.0148781.616433
0.054700-0.391880-0.410375-0.383090-0.3948270.0272850.0155481.754893
0.093700-0.515500-0.526439-0.491542-0.5210920.0348970.0053476.526169
0.140600-0.426650-0.426455-0.407328-0.4255230.0191260.00093120.535372
0.195300-0.319660-0.320214-0.304612-0.3190460.0156020.00116813.359297
0.5000000.0252600.0257990.0250140.024648-0.000786-0.0011510.682528
0.7656000.3223500.3253590.3102650.322496-0.015094-0.0028635.271553
0.7734000.3307500.3339920.3183380.331114-0.015654-0.0028785.438887
0.8437000.3709500.3769190.3573020.375189-0.019617-0.00173011.338475
0.9062000.3262700.3330440.3093730.329850-0.023671-0.0031947.410599
0.9219000.3035300.3099100.2859140.306744-0.023996-0.0031667.579356
0.9297000.2901200.2962700.2728750.292810-0.023395-0.0034606.761235
0.9375000.2748500.2807060.2571100.277076-0.023595-0.0036296.501094

[1] Ghia U.,Ghia K., Shin C., High-Re solutions for incompressible flow using tde Navier Stokes eqs., JCP 1982, 48, pp. 387-411

[2] Benchmark spectral results on tde lid-driven cavity flow, Botella O., Peyret R., Computers & Fluids 19998, 27, pp. 421-433

 


 

 
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