GPU accelerated lattice Boltzmann model for shallow water flow and mass transport

2010 ◽  
Vol 86 (3) ◽  
pp. 316-334 ◽  
Author(s):  
Kevin R. Tubbs ◽  
Frank T.-C. Tsai
Keyword(s):  
Mass Transport ◽  
Shallow Water ◽  
Water Flow ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Shallow Water Flow ◽  
Boltzmann Model ◽  
Flow And Mass Transport

scholarly journals MRT-Lattice Boltzmann Model for Multilayer Shallow Water Flow

Water ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 1623 ◽  
Author(s):  
Kevin R. Tubbs ◽  
Frank T.-C. Tsai
Keyword(s):  
Shallow Water ◽  
Water Flow ◽  
Analytical Solutions ◽  
Lattice Boltzmann ◽  
Kinematic Viscosity ◽  
Numerical Solutions ◽  
Lattice Boltzmann Model ◽  
Processing Unit ◽  
Shallow Water Flow ◽  
Boltzmann Model

The objectives of this study are to introduce a multiple-relaxation-time (MRT) lattice Boltzmann model (LBM) to simulate multilayer shallow water flows and to introduce graphics processing unit (GPU) computing to accelerate the lattice Boltzmann model. Using multiple relaxation times in the lattice Boltzmann model has an advantage of handling very low kinematic viscosity without causing a stability problem in the shallow water equations. This study develops a multilayer MRT-LBM to solve the multilayer Saint-Venant equations to obtain horizontal flow velocities in various depths. In the multilayer MRT-LBM, vertical kinematic viscosity forcing is the key term to couple adjacent layers. We implemented the multilayer MRT-LBM to a GPU-based high-performance computing (HPC) architecture. The multilayer MRT-LBM was verified by analytical solutions for cases of wind-driven, density-driven, and combined circulations with non-uniform bathymetry. The results show good speedup and scalability for large problems. Numerical solutions compared well to the analytical solutions. The multilayer MRT-LBM is promising for simulating lateral and vertical distributions of the horizontal velocities in shallow water flow.

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.

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