This shows you the differences between two versions of the page.

literature:he_98 [2008/02/14 16:40] jonas |
literature:he_98 [2011/10/29 19:08] (current) |
||
---|---|---|---|

Line 5: | Line 5: | ||

This paper shows among other things how to get the lattice Boltzmann equation from the discrete Boltzmann equation. The trapezoid rule is used to integrate along the path of a fluid element in space and time, which shows that the numerical scheme is second-order accurate. It is therefore useful to read this paper together with [[literature:he_97|He et al. 1997]], because the path integration is only resolved with first-order accuracy in the latter. The whole "from discrete Boltzmann to lattice Boltzmann" business is also summarized nicely in [[literature:dellar_03|Dellar 2003]]. | This paper shows among other things how to get the lattice Boltzmann equation from the discrete Boltzmann equation. The trapezoid rule is used to integrate along the path of a fluid element in space and time, which shows that the numerical scheme is second-order accurate. It is therefore useful to read this paper together with [[literature:he_97|He et al. 1997]], because the path integration is only resolved with first-order accuracy in the latter. The whole "from discrete Boltzmann to lattice Boltzmann" business is also summarized nicely in [[literature:dellar_03|Dellar 2003]]. | ||

- | |{{literature:he_98.bib|BibTeX}}|http://dx.doi.org/10.1103/PhysRevE.57.R13|DOI]]| | + | |{{literature:he_98.bib|BibTeX}}|[[http://dx.doi.org/10.1103/PhysRevE.57.R13|DOI]]| |