نتایج جستجو برای: keywords lattice boltzmann

تعداد نتایج: 2067807  

Journal: :Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 2001

2009
Erlend Magnus Viggen

in English An introduction is given to the lattice Boltzmann method and its background, with a view towards acoustic applications of the method. To make a larger range of acoustic applications possible, a point source method is proposed. This point source is applied to simulate cylindrical waves and plane waves, and is shown to give a very good numerical result compared with analytic solutions ...

2009
Jinku Wang Moran Wang Zhixin Li

The lattice evolution method for solving the nonlinear Poisson-Boltzmann equation in confined domain is developed by introducing the second-order accurate Dirichlet and Neumann boundary implements, which are consistent with the non-slip model in lattice Boltzmann method for fluid flows. The lattice evolution method is validated by comparing with various analytical solutions and shows superior t...

Journal: :Physical Review Letters 2005

Journal: :Journal of Computational Physics 2017

2004
C. Shu

The Taylor series expansionand least-square-based Lattice Boltzmann method (TLLBM) is a flexible Lattice Boltzmann approach capable of simulating incompressible viscous flows with arbitrary geometry. The method is based on the standard Lattice Boltzmann equation (LBE), Taylor series expansion and the least square optimisation. The final formulation is an algebraic form and essentially has no li...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2003
Gábor Házi

In this paper, a simple method is proposed to obtain steady analytical solutions for the lattice Boltzmann method. Based on such analytical results, it is demonstrated how the accuracy of the lattice Boltzmann method can depend on the relative orientation of the lattice and the flow field. It is also demonstrated that the method can be useful to obtain a general class of analytical solutions fo...

2007
Zhaoxia Yang

In this dissertation, we investigate a class of standard linear and nonlinear lattice Boltzmann methods from the point of view of mathematical analysis. First we study the consistency of the lattice Boltzmann method on a bounded domain by means of asymptotic analysis. From the analysis of the lattice Boltzmann update rule, we find a representation of the lattice Boltzmann solutions in form of t...

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