2018
DOI: 10.1016/j.jhydrol.2018.05.017
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Lattice Boltzmann method for rain-induced overland flow

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Cited by 12 publications
(7 citation statements)
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“…The lattice Boltzmann method is selected as the numerical method, by virtue of its efficiency and flexibility. The lattice Boltzmann method is a completely discrete mesoscopic model that treats the fluid as fractional particles in regular lattices, providing a promising approach to complex partial differential equations such as the shallow water equations [28].…”
Section: Lattice Boltzmann Methodsmentioning
confidence: 99%
“…The lattice Boltzmann method is selected as the numerical method, by virtue of its efficiency and flexibility. The lattice Boltzmann method is a completely discrete mesoscopic model that treats the fluid as fractional particles in regular lattices, providing a promising approach to complex partial differential equations such as the shallow water equations [28].…”
Section: Lattice Boltzmann Methodsmentioning
confidence: 99%
“…In general, overland runoff is laterally orthogonal or oblique to the mainstream. The overland flow is simulated using the LBM by Ding et al (2018). For a prismatic channel (without considering the sectional changes), 2D shallow water equations are used as the governing equations in this case, written as…”
Section: Governing Equationsmentioning
confidence: 99%
“…The procedure for treating complex boundary and terrain conditions in an LBM framework achieves mathematical simplification (Zhou, 2004). The LBM was tested in rain‐induced overland flows and channel flow simulations, and achieved high stability and accuracy (Ding, Liu, Peng, & Xing, 2018; Zhang, Feng, & Yang, 2015). Moreover, the LBM has a good foreground in solving the advection–diffusion equation (ADE).…”
Section: Introductionmentioning
confidence: 99%
“…Rainfall has an effect on the surface water and runoff, causes soil erosion and floods, and contaminants transport. A numerical model should be applied to investigate how rainfall influences water flow [32]. In the LBM, the local equilibrium distribution function g eq α for shallow water equations with source term was developed.…”
Section: Rainfallmentioning
confidence: 99%