Computational capabilities of the lattice Boltzmann method

About the authors:

Dmitry A. Samolovov, Post-graduate student, Institute of Physics and Chemistry, Tyumen State University
Aleksey S. Gubkin, Junior Researcher, Tyumen Branch of Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the RAS; Senior Lecturer, Department of Mechanics of Multiphase Systems, Tyumen State University; alexshtil@gmail.com

Abstract:

The dependence of body drag coefficient on a fluid current at uniaxial tension of a drop shaped body is not steady. It is one of the reasons of the complexity of hydrodynamics inverse problem solution. There is not effective algorithm of inverse problem solving at the present moment. Hydrodynamics equations and numerical schemes analysis does not allow to find a simple dependency between in and out parameters of the flow around body. It is necessary to find essentially more simple methods to solve hydrodynamics problems. Numerical methods of classical hydrodynamics and statistical method — lattice Boltzmann method (LBM) — are considered. Flow pattern around flat plate is calculated with LBM. Qualitative and quantitative comparisons of the results with natural experiment and numerical solution by finite volume method have been carried out. Calculated consecution of flow patterns and dimensionless times are in agreement with the natural experiment results.

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