<p>On the computation of viscous fluid flows by the lattice Boltzmann method</p>

Krivovichev G.V.

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On the computation of viscous fluid flows by the lattice Boltzmann method

Krivovichev G.V.

pdf (427K) / List of references

Modification of the lattice Boltzmann method for computation of viscous Newtonian fluid flows is considered. Modified method is based on the splitting of differential operator in Navier–Stokes equation and on the idea of instantaneous Maxwellisation of distribution function. The problems for the system of lattice kinetic equations and for the system of linear diffusion equations are solved while one time step is realized. The efficiency of the method proposed in comparison with the ordinary lattice Boltzmann method is demonstrated on the solution of the problem of planar flow in cavern in wide range of Reynolds number and various grid resolution.

Keywords: lattice Boltzmann method, splitting method, cavern flow problem

Citation in English: Krivovichev G.V. On the computation of viscous fluid flows by the lattice Boltzmann method // Computer Research and Modeling, 2013, vol. 5, no. 2, pp. 165-178

DOI: 10.20537/2076-7633-2013-5-2-165-178

URL: http://crm-en.ics.org.ru/journal/article/2010/

Computer Research and Modeling - 2013 - Issue 2

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

According to Crossref, this article is cited by:

Gerasim Vladimirovich Krivovichev. Modification of the lattice Boltzmann method for the computations of viscid incompressible fluid flows. // Computer Research and Modeling. — 2014. — V. 6, no. 3. — P. 365. DOI: 10.20537/2076-7633-2014-6-3-365-381
Gerasim Vladimirovich Krivovichev. Stability investigation of finite-difference schemes of lattice Boltzmann method for diffusion modelling. // Computer Research and Modeling. — 2016. — V. 8, no. 3. — P. 485. DOI: 10.20537/2076-7633-2016-8-3-485-500

Please note that citation information may be incomplete as it includes data from Crossref cited-by program partners only.

Citations: 8 (RSCI).

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