scholarly journals Two component lattice Boltzmann model with flux limiters

Open Physics ◽  
2004 ◽  
Vol 2 (2) ◽  
Author(s):  
Artur Cristea ◽  
Victor Sofonea
Keyword(s):  
Free Energy ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Two Dimensional ◽  
Flux Limiter ◽  
Fluid Systems ◽  
Two Component ◽  
Bulk Free Energy ◽  
Flux Limiters ◽  
Boltzmann Model

AbstractA two-dimensional finite difference lattice Boltzmann model for two-component fluid systems is introduced. Phase separaton is achieved using an appropriate expression of the bulk free energy. Flux limiter techniques are used to improve the numberical accuracy of this model.

NUMERICAL EFFECTS IN A FINITE DIFFERENCE LATTICE BOLTZMANN MODEL FOR LIQUID-VAPOUR SYSTEMS

2006 ◽  
Vol 17 (08) ◽  
pp. 1191-1201 ◽  
Author(s):  
ARTUR CRISTEA
Keyword(s):  
Surface Tension ◽  
Finite Difference ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Two Dimensional ◽  
Force Term ◽  
Tvd Schemes ◽  
Van Der Waals Equation ◽  
Flux Limiters ◽  
Boltzmann Model

A two-dimensional finite difference Lattice Boltzmann model for liquid-vapour systems is introduced. Phase separation is achieved using the dimensionless van der Waals equation of state. A force term is added to account for the surface tension. Flux limiters and TVD schemes are used to improve the accuracy of this model.

scholarly journals A PARALLEL THERMAL LATTICE BOLTZMANN MODEL WITH FLUX LIMITERS FOR MICROSCALE FLOW

2008 ◽  
Vol 19 (12) ◽  
pp. 1847-1861 ◽  
Author(s):  
M. BOTTI ◽  
G. GONNELLA ◽  
A. LAMURA ◽  
F. MASSAIOLI ◽  
V. SOFONEA
Keyword(s):  
Lattice Boltzmann ◽  
Evolution Equations ◽  
Parallel Implementation ◽  
Lattice Boltzmann Model ◽  
Driven Cavity ◽  
Slip Regime ◽  
Microscale Flow ◽  
Thermal Lattice Boltzmann ◽  
Flux Limiters ◽  
Boltzmann Model

We propose a thermal lattice Boltzmann model to study gaseous flow in microcavities. The model relies on the use of a finite difference scheme to solve the set of evolution equations. By adopting diffuse reflection boundary conditions to deal with flows in the slip regime, we study the micro-Couette flow in order to select the best numerical scheme in terms of accuracy. The scheme based on flux limiters is then used to simulate a micro-lid-driven cavity flow by using an efficient and parallel implementation. The numerical results are in very good agreement with the available results recovered with different methods.

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.

Highly Efficient Lattice Boltzmann Model for Compressible Fluids: Two-Dimensional Case

2009 ◽  
Vol 52 (4) ◽  
pp. 681-693 ◽  
Author(s):  
Chen Feng ◽  
Xu Ai-Guo ◽  
Zhang Guang-Cai ◽  
Gan Yan-Biao ◽  
Cheng Tao ◽  
...  
Keyword(s):  
Lattice Boltzmann ◽  
Compressible Fluids ◽  
Lattice Boltzmann Model ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Highly Efficient ◽  
Boltzmann Model

Two-Dimensional Lattice Boltzmann Model for Droplet Impingement and Breakup in Low Density Ratio Liquids

2011 ◽  
Vol 10 (3) ◽  
pp. 767-784 ◽  
Author(s):  
Amit Gupta ◽  
Ranganathan Kumar
Keyword(s):  
Lattice Boltzmann ◽  
Weber Number ◽  
Density Ratio ◽  
Lattice Boltzmann Model ◽  
Low Density ◽  
Two Dimensional ◽  
Conservation Of Energy ◽  
Dimensional Lattice ◽  
Boltzmann Model ◽  
The Impact

AbstractA two-dimensional lattice Boltzmann model has been employed to simulate the impingement of a liquid drop on a dry surface. For a range of Weber number, Reynolds number and low density ratios, multiple phases leading to breakup have been obtained. An analytical solution for breakup as function of Reynolds and Weber number based on the conservation of energy is shown to match well with the simulations. At the moment breakup occurs, the spread diameter is maximum; it increases with Weber number and reaches an asymptotic value at a density ratio of 10. Droplet breakup is found to be more viable for the case when the wall is non-wetting or neutral as compared to a wetting surface. Upon breakup, the distance between the daughter droplets is much higher for the case with a non-wetting wall, which illustrates the role of the surface interactions in the outcome of the impact.

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