The backward-facing step in a streamwise periodic channel as shown in Figure 1 is based on the
geometry given by Issa. #reference_qvv_r3v_s2b__fn_rqq_jkv_s2b The step height is S = 4.9 mm. A constant bulk
velocity UB = 0.14 m/s is forced by a constant volume force chosen as F =
0.4 m/s2. The dynamic viscosity of the fluid is 1.456e-5
kg/m/s, with a density of 1 kg/m3. With the hydraulic diameter D =
2*H1 of the channel above the step the Reynolds-Number of the flow is
Re = 100.
Numerical Setup
Two particle resolutions are simulated, with a cutoff length rc°=°0.2*S
for the coarser and rc°=°0.1*S for the finer resolution. For the initial
particle configuration, the particles are distributed on a Cartesian grid. The walls
boundary conditions are imposed according to the methodology described by Adami et
al. #reference_qvv_r3v_s2b__fn_zdx_xkv_s2b
Results
In Figure 2 the flow in
the recirculation region behind the step is visualized with emphasis on the
recirculation bubble.
S. Adami, H. Hu and N. Adams, "A generalized wall boundary condition
for smoothed particle hydrodynamics," Journal of Computational Physics, vol.
231, pp. 7057-7075, 2012.
R. Issa, Numerical assessment of smoothed particle hydrodynamics
gridless method for incompressible flows and its extension to turbulent flows,
PhD Thesis: University of Manchester, 2005.
S. Adami, X. Hu and N. Adams, "A transport-velocity formulation for
smoothed particle hydrodynamics," Journal of Computational Physics, vol. 241,
pp. 292-307, 2013.