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Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r220.html
Дата изменения: Mon Apr 13 15:19:50 2015 Дата индексирования: Sun Apr 10 02:53:41 2016 Кодировка: IBM-866 |
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"Stability study of finite-difference-based lattice Boltzmann schemes
with upwind differences of high order approximation" Krivovichev G.V. and Mikheev S.A. |
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The stability of three-level finite-difference-based lattice Boltzmann schemes of third and fourth orders of approximation with respect to spatial variables is studied. The stability analysis with respect to initial conditions is performed on the basis of a linear approximation. These studies are based on the Neumann method. It is shown that the stability of the schemes can be improved by the approximation convective terms in internal nodes of the grid stencils in use. In this case the stability domains are larger compared to the case of approximation in boundary nodes. Keywords: lattice Boltzmann method, lattice Boltzmann schemes, stability with respect to initial conditions, Neumann method.
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