A lattice Boltzmann model for the shallow water equations

2002 ◽  
Vol 191 (32) ◽  
pp. 3527-3539 ◽  
Author(s):  
J.G. Zhou



Author(s):  
Zhiming Ru ◽  
Haifei Liu ◽  
Gangqin Tu ◽  
Liming Xing ◽  
Xuerong Wu ◽  
...  


2002 ◽  
Vol 13 (08) ◽  
pp. 1135-1150 ◽  
Author(s):  
J. G. ZHOU

A lattice Boltzmann model for the shallow water equations with turbulence modeling (LABSWETM) is developed. The flow turbulence is efficiently and naturally taken into account by incorporating the standard subgrid-scale stress model into the lattice Boltzmann equation in a consistent manner with the lattice gas dynamics. The model is applied to solve two flow problems and is verified by comparing numerical predictions with analytical solutions and available experimental data. The results show that the LABSWETM is able to provide basic features of flow turbulence and produce good predictions for turbulent shallow water flows.







Water ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 439 ◽  
Author(s):  
Sara Venturi ◽  
Silvia Di Francesco ◽  
Martin Geier ◽  
Piergiorgio Manciola

This work compares three forcing schemes for a recently introduced cascaded lattice Boltzmann shallow water model: a basic scheme, a second-order scheme, and a centred scheme. Although the force is applied in the streaming step of the lattice Boltzmann model, the acceleration is also considered in the transformation to central moments. The model performance is tested for one and two dimensional benchmarks.



2005 ◽  
Vol 22 (3) ◽  
pp. 349-358 ◽  
Author(s):  
Zhong Linhao ◽  
Feng Shide ◽  
Gao Shouting




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