Coupled double-distribution-function lattice Boltzmann method for the compressible Navier-Stokes equations

2007 ◽  
Vol 76 (5) ◽  
Author(s):  
Q. Li ◽  
Y. L. He ◽  
Y. Wang ◽  
W. Q. Tao
Keyword(s):  
Distribution Function ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Function Lattice ◽  
Boltzmann Method

scholarly journals Involving the Navier–Stokes equations in the derivation of boundary conditions for the lattice Boltzmann method

2011 ◽  
Vol 369 (1944) ◽  
pp. 2184-2192 ◽  
Author(s):  
Joris C. G. Verschaeve
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Stokes Equations ◽  
Slip Boundary Condition ◽  
Navier Stokes ◽  
Grid Spacing ◽  
Navier Stokes Equations ◽  
Slip Boundary ◽  
Boltzmann Method

By means of the continuity equation of the incompressible Navier–Stokes equations, additional physical arguments for the derivation of a formulation of the no-slip boundary condition for the lattice Boltzmann method for straight walls at rest are obtained. This leads to a boundary condition that is second-order accurate with respect to the grid spacing and conserves mass. In addition, the boundary condition is stable for relaxation frequencies close to two.

Lattice Boltzmann Method for the Simulating Extrudate Swell of Viscoelastic Fluid

2015 ◽  
Vol 799-800 ◽  
pp. 784-787
Author(s):  
Wen Qin Liu ◽  
Yong Li
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Extrudate Swell ◽  
Navier Stokes Equations ◽  
New Approach ◽  
Moving Interface ◽  
Good Accord ◽  
Boltzmann Method

The main objective of this work is to develop a new approach based on the Lattice Boltzmann method (LBM) to simulate the extrudate swell of an Oldroyd B viscoelatic fluid. Two lattice Boltzmann equations are used to solve the Navier-Stokes equations and constitutive equation simultaneously at each time iteration. The single LBM model is used to track the moving interface in this paper. To validate the accuracy and stability of this new scheme, we study the steady 2D Poiseuille flow firstly, finding the numerical results be in good accord with the analytical solution. Then the die-swell phenomenon is solved, we successfully acquire the different swelling state of an Oldroyd B fluid at different time.

scholarly journals Simulation of Poiseuille flow

2021 ◽  
pp. 1-29
Author(s):  
Georgy Sergeevich Chashchin
Keyword(s):  
Lattice Boltzmann Method ◽  
Poiseuille Flow ◽  
Lattice Boltzmann ◽  
High Speed ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Cartesian Grids ◽  
Navier Stokes Equations ◽  
Advantages And Disadvantages ◽  
Boltzmann Method

In this article, plane and space Poiseuille flow was simulate of the lattice Boltzmann method. Because Poiseuille solution is one of the simplest solutions Navier-Stokes equations, it is well for exploring opportunities of lattice Boltzmann method. Simulation flows in plane rectangular and ellipsoidal cylindrical pipes assist to detect advantages and disadvantages of original and Dellar’s regularized lattice Boltzmann algorithm on standard lattices with different started and boundaries conditions. LBM’s main excellence is high speed of calculation, but it’s manifest imperfection is using Cartesian grids and not evident generalization on another grid’s types.

scholarly journals Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method

2015 ◽  
Vol 2015 ◽  
pp. 1-12
Author(s):  
Javier A. Dottori ◽  
Gustavo A. Boroni ◽  
Alejandro Clausse
Keyword(s):  
Boundary Conditions ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Stokes Equations ◽  
Entropy Method ◽  
Alternative Methods ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Outflow Boundary ◽  
Boltzmann Method

A method for modeling outflow boundary conditions in the lattice Boltzmann method (LBM) based on the maximization of the local entropy is presented. The maximization procedure is constrained by macroscopic values and downstream components. The method is applied to fully developed boundary conditions of the Navier-Stokes equations in rectangular channels. Comparisons are made with other alternative methods. In addition, the new downstream-conditioned entropy is studied and it was found that there is a correlation with the velocity gradient during the flow development.

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