An evaluation of force terms in the lattice Boltzmann models in simulating shallow water flows over complex topography

2019 ◽  
Vol 90 (7) ◽  
pp. 357-373 ◽  
Author(s):  
Shaotian Li ◽  
Yineng Li ◽  
Zeyu Zeng ◽  
Ping Huang ◽  
Shiqiu Peng
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Complex Topography ◽  
Water Flows ◽  
Shallow Water Flows ◽  
Lattice Boltzmann Models

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.

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