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. Author manuscript; available in PMC: 2012 Sep 27.
Published in final edited form as: Discrete Continuous Dyn Syst Ser B. 2008 Dec 1;11(2):519–540. doi: 10.3934/dcdsb.2009.11.519

Table 2.

For steady-state flow over a bump with R/H = 1/2, we compare FS and WS calculations of the x-force, torque and maximum shear stress under grid refinement with BEM predictions (all in non-dimensional variables). Also shown is the volume flux in comparison to the BEM prediction. In the FS calculations the stress tensor is evaluated at X – nh.

Grid points x-force(F) Torque(T) Volume flux(Q) Max Shear stress (τmax)
FS WS FS WS FS WS
BEM 5.563 1.338 0.584 2.964
512 × 128 5.617 6.546 1.045 1.419 0.554 2.639 3.013
256 × 64 5.722 6.653 0.993 1.519 0.523 2.376 3.192
128 × 32 5.817 6.877 0.801 1.723 0.458 1.951 3.819