Large eddy simulation of turbulent shallow water flows using multi-relaxation-time lattice Boltzmann model

2012 ◽  
Vol 70 (12) ◽  
pp. 1573-1589 ◽  
Author(s):  
Haifei Liu ◽  
Min Li ◽  
Anping Shu
Keyword(s):  
Relaxation Time ◽  
Large Eddy Simulation ◽  
Shallow Water ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Water Flows ◽  
Eddy Simulation ◽  
Shallow Water Flows ◽  
Large Eddy ◽  
Boltzmann Model

scholarly journals Multispeed Lattice Boltzmann Model with Space-Filling Lattice for Transcritical Shallow Water Flows

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
Y. Peng ◽  
J. P. Meng ◽  
J. M. Zhang
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Lattice Models ◽  
Second Order ◽  
Lattice Boltzmann Model ◽  
Space Filling ◽  
Order Accuracy ◽  
Water Flows ◽  
Recent Success ◽  
Shallow Water Flows

Inspired by the recent success of applying multispeed lattice Boltzmann models with a non-space-filling lattice for simulating transcritical shallow water flows, the capabilities of their space-filling counterpart are investigated in this work. Firstly, two lattice models with five integer discrete velocities are derived by using the method of matching hydrodynamics moments and then tested with two typical 1D problems including the dam-break flow over flat bed and the steady flow over bump. In simulations, the derived space-filling multispeed models, together with the stream-collision scheme, demonstrate better capability in simulating flows with finite Froude number. However, the performance is worse than the non-space-filling model solved by finite difference scheme. The stream-collision scheme with second-order accuracy may be the reason since a numerical scheme with second-order accuracy is prone to numerical oscillations at discontinuities, which is worthwhile for further study.

scholarly journals A 1D–2D Coupled Lattice Boltzmann Model for Shallow Water Flows in Large Scale River-Lake Systems

2019 ◽  
Vol 10 (1) ◽  
pp. 108
Author(s):  
Wanwan Meng ◽  
Yongguang Cheng ◽  
Jiayang Wu ◽  
Chunze Zhang ◽  
Linsheng Xia
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Large Scale ◽  
Distribution Functions ◽  
Lattice Boltzmann Model ◽  
Hydropower Station ◽  
Water Flows ◽  
Shallow Water Flows ◽  
Proposed Model ◽  
Lake Systems

Simulating shallow water flows in large scale river-lake systems is important but challenging because huge computer resources and time are needed. This paper aimed to propose a simple and efficient 1D–2D coupled model for simulating these flows. The newly developed lattice Boltzmann (LB) method was adopted to simulate 1D and 2D flows, because of its easy implementation, intrinsic parallelism, and high accuracy. The coupling strategy of the 1D–2D interfaces was implemented at the mesoscopic level, in which the unknown distribution functions at the coupling interfaces were calculated by the known distribution functions and the primitive variables from the adjacent 1D and 2D lattice nodes. To verify the numerical accuracy and stability, numerical tests, including dam-break flow and surge waves in the tailrace canal of a hydropower station, were simulated by the proposed model. The results agreed well with both analytical solutions and commercial software results, and second-order convergence was verified. The application of the proposed model in simulating the surge wave propagation and reflection phenomena in a reservoir of a run-of-river hydropower station indicated that it had a huge advantage in simulating flows in large-scale river-lake systems.

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