Application of the Lattice Boltzmann Method in Shallow Water Lake

2011 ◽  
Vol 356-360 ◽  
pp. 2333-2337
Author(s):  
Hai Fei Liu ◽  
Min Li ◽  
Yan Wei Zhao
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Two Dimensions ◽  
Lattice Boltzmann Model ◽  
Complex Boundaries ◽  
Set Up ◽  
Boltzmann Method ◽  
Boltzmann Model ◽  
Irregular Topography ◽  
Bed Friction

A typical sub-region of Baiyangdian Lake is selected as the practical study area, which is characterized by irregular geometry and complex bathymetry. The coupled lattice Boltzmann model for simulating shallow water flow and pollutant transport in two dimensions is set up and applied to it. The wind stress is regarded as the main driven force. The bed friction and the gravitional force relating to bed slops are involved. The simulation results well represent the flow field and the distribution of pollutant concentration under the predominant wind. This study demonstrates that the lattice Blotzmann method possesses the robust capacity to deal with complex boundaries and irregular topography.

Modeling of collapsing cavitation bubble near solid wall by 3D pseudopotential multi-relaxation-time lattice Boltzmann method

2017 ◽  
Vol 232 (3) ◽  
pp. 445-456 ◽  
Author(s):  
Minglei Shan ◽  
Yu Yang ◽  
Hao Peng ◽  
Qingbang Han ◽  
Changping Zhu
Keyword(s):  
Relaxation Time ◽  
Lattice Boltzmann ◽  
Cavitation Bubble ◽  
Solid Wall ◽  
Three Dimensional ◽  
Lattice Boltzmann Model ◽  
Bubble Collapse ◽  
Lattice Boltzmann Simulation ◽  
Boltzmann Method ◽  
Boltzmann Model

Understanding the dynamic characteristic of the cavitation bubble near a solid wall is a fundamental issue for the bubble collapse application and prevention. In the present work, an improved three-dimensional multi-relaxation-time pseudopotential lattice Boltzmann model is adopted to investigate the cavitation bubble collapse near the solid wall. With respect to thermodynamic consistency, Laplace law verification, the three-dimensional pseudopotential multi-relaxation-time lattice Boltzmann model is investigated. By the theoretical analysis, it is proved that the model can be regarded as a solver of the Rayleigh–Plesset equation, and confirmed by comparing the results of the lattice Boltzmann simulation and the Rayleigh–Plesset equation calculation for the case of cavitation bubble collapse in the infinite medium field. The bubble collapse near the solid wall is modeled using the improved pseudopotential multi-relaxation-time lattice Boltzmann model. We find the lattice Boltzmann simulation and the experimental results have the same dynamic process by comparing the bubble profiles evolution. Form the pressure field and the velocity field evolution it is found that the tapered higher pressure region formed near the top of the bubble is a crucial driving force inducing the bubble collapse. This exploratory research demonstrates that the lattice Boltzmann method is an alternative tool for the study of the interaction between collapsing cavitation bubble and matter.

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.

scholarly journals Simulation of Thermomagnetic Convection in a Cavity Using the Lattice Boltzmann Model

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Mahshid Hadavand ◽  
Antonio C. M. Sousa
Keyword(s):  
Natural Convection ◽  
Lattice Boltzmann ◽  
Magnetic Force ◽  
Electrical Current ◽  
Lattice Boltzmann Model ◽  
Thermomagnetic Convection ◽  
Microelectronic Devices ◽  
Third Dimension ◽  
Boltzmann Method ◽  
Boltzmann Model

Thermomagnetic convection in a differentially heated square cavity with an infinitely long third dimension is numerically simulated using the single relaxation time lattice Boltzmann method (LBM). This problem is of considerable interest when dealing with cooling of microelectronic devices, in situations where natural convection does not meet the cooling requirements, and forced convection is not viable due to the difficulties associated with pumping a ferrofluid. Therefore, circulation is achieved by imposing a magnetic field, which is created and controlled by placing a dipole at the bottom of the enclosure. The magnitude of the magnetic force is controlled by changing the electrical current through the dipole. In this study, the effects of combined natural convection and magnetic convection, which is commonly known as “thermomagnetic convection,” are analysed in terms of the flow modes and heat transfer characteristics of a magnetic fluid.

DEVELOPING LBM-BASED FLUX SOLVER AND ITS APPLICATIONS IN MULTI-DIMENSION SIMULATIONS

2012 ◽  
Vol 19 ◽  
pp. 90-99
Author(s):  
KUN QU ◽  
CHANG SHU ◽  
JINSHENG CAI
Keyword(s):  
Boltzmann Equation ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Navier Stokes ◽  
Lattice Boltzmann Equation ◽  
One Dimensional ◽  
Volume Method ◽  
Boltzmann Method ◽  
Boltzmann Model

In this paper, a new flux solver was developed based on a lattice Boltzmann model. Different from solving discrete velocity Boltzmann equation and lattice Boltzmann equation, Euler/Navier-Stokes (NS) equations were solved in this approach, and the flux at the interface was evaluated with a compressible lattice Boltzmann model. This method combined lattice Boltzmann method with finite volume method to solve Euler/NS equations. The proposed approach was validated by some simulations of one-dimensional and multi-dimensional problems.

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

SLIP ON CURVED BOUNDARIES IN THE LATTICE BOLTZMANN MODEL

2007 ◽  
Vol 18 (01) ◽  
pp. 15-24 ◽  
Author(s):  
LAJOS SZALMÁS
Keyword(s):  
Couette Flow ◽  
Lattice Boltzmann ◽  
Slip Flow ◽  
Distribution Functions ◽  
Lattice Boltzmann Model ◽  
Momentum Balance ◽  
Curved Boundaries ◽  
Cylindrical Couette Flow ◽  
Boltzmann Method ◽  
Boltzmann Model

We present a new boundary condition in the lattice Boltzmann method to model slip flow along curved boundaries. A requirement is formulated for the distribution functions based on the tunable momentum balance at the walls, which is shown to be equivalent to the constraint on the second moment. Numerical simulation of plane Couette flow in inclined channels and cylindrical Couette flow shows excellent agreement with the analytical results in the nearly continuum regime. Orientation effects on the velocity field are completely avoided.

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