A LATTICE BOLTZMANN MODEL FOR THE SHALLOW WATER EQUATIONS WITH TURBULENCE MODELING

2002 ◽  
Vol 13 (08) ◽  
pp. 1135-1150 ◽  
Author(s):  
J. G. ZHOU
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Shallow Water Equations ◽  
Lattice Gas ◽  
Turbulence Modeling ◽  
Lattice Boltzmann Model ◽  
Numerical Predictions ◽  
Flow Turbulence ◽  
Basic Features ◽  
Boltzmann Model

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.

Lattice Boltzmann Model Using Two Relaxation Times for Shallow-Water Equations

2016 ◽  
Vol 142 (2) ◽  
pp. 06015017 ◽  
Author(s):  
Y. Peng ◽  
J. M. Zhang ◽  
J. G. Zhou
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Shallow Water Equations ◽  
Relaxation Times ◽  
Lattice Boltzmann Model ◽  
Boltzmann Model

A lattice Boltzmann model for shallow water equations on the smoothed quadtree grid

2021 ◽  
Author(s):  
Zhiming Ru ◽  
Haifei Liu ◽  
Gangqin Tu ◽  
Liming Xing ◽  
Xuerong Wu ◽  
...  
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Shallow Water Equations ◽  
Lattice Boltzmann Model ◽  
Boltzmann Model

A lattice Boltzmann model for the viscous shallow water equations with source terms

2021 ◽  
pp. 126428
Author(s):  
Yu Liu ◽  
Zhenhua Chai ◽  
Xiuya Guo ◽  
Baochang Shi
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Shallow Water Equations ◽  
Lattice Boltzmann Model ◽  
Source Terms ◽  
Boltzmann Model

Well-balanced open boundary condition in a lattice Boltzmann model for shallow water with arbitrary bathymetry

2018 ◽  
Vol 230 ◽  
pp. 89-98 ◽  
Author(s):  
Álvaro Salinas ◽  
Claudio E. Torres ◽  
Orlando Ayala
Keyword(s):  
Boundary Condition ◽  
Shallow Water ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Open Boundary ◽  
Open Boundary Condition ◽  
Boltzmann Model

scholarly journals Forcing for a Cascaded Lattice Boltzmann Shallow Water Model

Water ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 439 ◽  
Author(s):  
Sara Venturi ◽  
Silvia Di Francesco ◽  
Martin Geier ◽  
Piergiorgio Manciola
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Model Performance ◽  
Lattice Boltzmann Model ◽  
Water Model ◽  
Two Dimensional ◽  
Shallow Water Model ◽  
Basic Scheme ◽  
Order Scheme ◽  
Boltzmann Model

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.

Wind-driven ocean circulation in shallow water lattice Boltzmann model

2005 ◽  
Vol 22 (3) ◽  
pp. 349-358 ◽  
Author(s):  
Zhong Linhao ◽  
Feng Shide ◽  
Gao Shouting
Keyword(s):  
Shallow Water ◽  
Ocean Circulation ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Water Lattice ◽  
Boltzmann Model

On the effect of the intrinsic viscosity in a two-layer shallow water lattice Boltzmann model of axisymmetric density currents

2013 ◽  
Vol 51 (6) ◽  
pp. 668-680 ◽  
Author(s):  
Pietro Prestininzi ◽  
Giampiero Sciortino ◽  
Michele La Rocca
Keyword(s):  
Shallow Water ◽  
Intrinsic Viscosity ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Density Currents ◽  
Water Lattice ◽  
Boltzmann Model
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