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Research paper

Numerical modelling of local scour around a spur dike with porous media method

ORCID Icon, ORCID Icon & ORCID Icon
Pages 970-995 | Received 08 May 2020, Accepted 19 Jul 2022, Published online: 12 Dec 2022
 

ABSTRACT

A 3D numerical model is developed to investigate the flow motion and sediment transport around a spur dike. In this model, fluid motion is described by the Navier–Stokes equations, adopting large eddy simulation to capture turbulent transport and dissipation. The spur dike and sand bed are treated by the porous media method. The suspended load concentration and the bed load transport rate is calculated separately, and then the bed variation is updated using the mass-balance equation. A series of flume experiments are employed to validate the model’s performance before being applied for the case of partially emergent spur dikes and submerged spur dikes, respectively. Detailed analyses on the spatial-temporal variation of flow intensity, sediment concentration and shapes of scour holes are made, based on which some innovative findings are discussed such as the scouring process patterns, as well as the influence of flow conditions on the maximum scour depth and location, and then useful engineering suggestions are provided to improve structural safety.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Notation

a=

reference level (m)

c=

sediment concentration (kg m−3)

CD=

drag force coefficient (–)

Cs=

Smagorinsky coefficient (–)

Da=

sediment deposition rate (m s−1)

D50=

sediment median grain size (m)

Ea=

sediment entrainment rate (m s−1)

ϵs=

sediment mixing coefficient (m2 s−1)

g=

gravity acceleration (m s²)

η=

bed elevation (m)

n=

porosity (–)

ν=

kinematic viscosity (m2 s−1)

p=

pressure (Pa)

qb=

bed load transport rate (m2 s−1)

ρ=

density (kg m−3)

Re=

Reynolds number (–)

τb=

bed shear stress (Pa)

u=

flow velocity (m s−1)

ws=

sediment fall velocity (m s−1)

Additional information

Funding

This work is partly supported by the Youth Program of National Natural Science Foundation of China [Grant No. 51909179], Sichuan Science and Technology Program [Grant No. 2021YFH0044], Fundamental Research Funds for the Central Universities [Grant No. 2021SCU12110] and Open Fund of National Key Laboratory of Hydraulic Engineering Simulation and Safety of Tianjin University [Grant No. HESS2001].

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