Figure 1

Steady-state streamwise velocity profiles $u(y)=⟨v_x(y)⟩$ as a function of the cross-flow coordinate $y$ at $x=L/4+5\sigma$ (i.e., $5\sigma$ behind the obstacle) and $x=L/2$ (the sketch illustrates the flow geometry with the dashed lines being the location where the flow profiles are computed). The symbols are the MD results as indicated. The solid lines are the corresponding results from the LB with resolution $\Delta x=0.25\sigma$. Both the MD and LB curves are averaged along the $x$ direction over a region of $\pm 3\sigma$. The inset shows a magnification of the region around the minimum for the profile at $x=L/4+5\sigma$.Reuse & Permissions

Figure 2

Same as in Fig. 1, but now only for the LB simulations with different choices of $\Delta x$ as indicated. As in Fig. 1, the inset shows a magnification of the region around the minimum in the curves for $x=L/4+5\sigma$.Reuse & Permissions

Figure 3

Steady-state streamwise velocity profile $u(x)=⟨v_x(x)⟩$ as a function of $x$ at $y=H/2$ and $y=H/2\pm 25\sigma$ (as in Fig. 1, the sketch illustrates the flow geometry) The symbols show the MD data as indicated. The solid lines are the corresponding LB data with $\Delta x=0.25\sigma$.Reuse & Permissions

Figure 4

(a) The color map shows the magnitude of the velocity field $|\overrightarrow{u}(x,y)|=\sqrt{⟨v_x{⟩}^2+⟨v_y{⟩}^2}$ at steady state as obtained from the MD simulation. (b) The same result as obtained from the LB simulation with $\Delta x=0.25\sigma$ is shown.Reuse & Permissions