2-D SPH Validation: Effect of wet bottom on dam break evolution
(Download full test case data files here: SPHERIC_TestCase5.zip)
Evolution of a dam break is reproduced using 2D version of SPH model. Starting from experimental results we can validate our model. So, different results depending on height of wet bottom are obtained.
The experiment was taken from the paper by Janosi et al. 2004. Experimental setup is depicted in figure 1, where d0 = 15 cm is the dam-break height and d is the fluid depth in the bottom of the tank (d=0 indicates a dry bed). In the experiment two different bottom depths were considered; 18 and 38 mm.
The experiments were recorded by two CCD cameras.
I digitalized experimental wave profiles in order to compare with SPH profiles: (d18_1, d18_2, d18_3, d18_4, d18_5, d18_6, d18_7, d38_1, d38_2, d38_3, d38_4, d38_5, d38_6, d38_7, d38_8). The dimensions of the digitalized snapshots are 0.38m ≤ X ≤ 1.04m and 0.0m ≤ Y ≤ 0.13m.
In the experiment the gate is removed from above at a constant velocity of 1.5 m/s. So we have to simulate dam-break evolution including the gate movement.
In the figure 3, velocity is represented for several d/d0 (the ratio between fluid depth in the bottom of the tank and initial dam height). An average velocity along the first 3 meters [0,3] m was measured.
Some problems can appear comparing your SPH velocity with experimental one, since it is very difficult to get an absolutely dry bed in the experiment and there is always a very thin water layer near bed.
Publications using this test case as a benchmark
Crespo AJC, Gómez-Gesteira M, Dalrymple RA (2008). Modeling Dam Break Behavior over a Wet Bed by a SPH Technique, Journal of Waterway, Port, Coastal, and Ocean Engineering, 134(6), 313-320, DOI: 10.1061/(ASCE)0733-950X(2008)134:6(313).
Gomez-Gesteira M, Rogers B D, Dalrymple R A, Crespo AJC. 2010. "State-of-the-art of classical SPH for free-surface flows". Journal of Hydraulic Research. Vol. 48. Issue Extra Issue. pp 6-27. DOI: 10.1080/00221686.2010.9641242.
Khayyer A, Gotoh H (2010). On particle-based simulation of a dam break over a wet bed, Journal of Hydraulic Research, 48(2), 238-249, DOI: 10.1080/00221681003726361
Janosi, I. M., Jan, D., Szabo, K. G. and Tel, Tamas. “Turbulent drag reduction in dam-break flows”. Experiments in Fluids, 37: 219-229, (2004).