1 Copyright © 2011 by ASME
THREE-DIMENSIONAL SCOURING ANALYSIS FOR OPEN CHANNEL PRESSURE
FLOW SCOUR UNDER FLOODED BRIDGE DECKS
Bhaskar Rao Tulimilli
Northern Illinois University
DeKalb, IL, U.S.A.
Steven A. Lottes
Argonne National Laboratory
Argonne, IL, U.S.A.
Pradip Majumdar
Northern Illinois University
DeKalb, IL, U.S.A.
Milivoje Kostic
Northern Illinois University
DeKalb, IL, U.S.A.
ABSTRACT
A three-dimensional stream bed scour modeling
methodology was developed using well-benchmarked
commercial Computational Fluid Dynamics (CFD) software to
compute the bed shear stress distribution used to calculate bed
displacements and to re-mesh the computational domain as the
bed is displaced. This study extends a previously developed
two-dimensional iterative scouring procedure to predict the
final shape and size of the scour-hole under pressure-scour flow
conditions for flooded bridge decks using commercial CFD
software. The current approach uses single phase flow models
with an assumed flat water surface using a symmetric slip top
boundary to simulate a free-surface flow condition, quasi-steady
simulation to obtain the bed shear, and a moving boundary
formulation based on an empirical correlation for critical shear
stress to iteratively deform the bed under supercritical shear
conditions until an equilibrium scour condition is obtained. The
model solves the flow field using Reynolds Averaged Navier-
Stokes (RANS) equations and the high Reynolds number k–
epsilon turbulence model using the commercial CFD software
STAR-CD. A Bash script was developed to use a Python script
to compute bed displacements from the computed shear stress
distribution and generate a STAR-CD processor command file
to displace the bed followed by a step using the STAR-CCM+
software to remesh the domain as the bed is displaced and bed
shear distribution is recomputed in an iterative procedure until
the equilibrium bed contour is reached. Simulations were
performed for different inundation ratios and for mean sand
diameters of 1 mm and 2 mm. The model agrees reasonably
well with limited experimental data for equilibrium scour shape
and size with fully submerged cases compared to the cases
where the bridge deck is partially submerged. This developed
three-dimensional CFD scour computation procedure provides a
basis for testing of additional scour related physical models
while also providing an evaluation tool that can be used
immediately by engineers engaged in scour risk analysis and
assessment.
NOMENCLATURE
Symbol Unit Description
b m Cross flume bridge deck length
d
50
mm Median channel-bed material diameter
d
*
- Dimensionless diameter
Fr - Froude number
g m/s
2
Acceleration due to gravity
h
b
m Height of deck bottom above upstream bed
h
u
m Height of the water column from flat channel
bottom
h
*
- Inundation ratio
Proceedings of the ASME 2011 International Mechanical Engineering Congress & Exposition
IMECE2011
November 11-17, 2011, Denver, Colorado, USA
IMECE2011-65529