TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Avramenko, Andriy A.
A1  - Tyrinov, Andrii I.
A1  - Shevchuk, Igor V.
A1  - Dmitrenko, Nataliia P.
T1  - Comparison Analysis of Analytical and Lattice Boltzmann Methods for Simulation of Turbulence Decay in Flows in Converging and Diverging Channels
JF  - ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
N2  - The paper focuses on a study of turbulence decay in flow with streamwise gradient. For the first time, an analytical solution of this problem was obtained based on the k‐ε model of turbulence in one‐dimensional (1D) approximation, as well as on the symmetry properties of the system of differential equations. Lie group technique enabled reducing the problem to a linear differential equation. The analytical solution enabled parametric studies, which are computationally cheap in comparison to CFD based simulations. The lattice Boltzmann method (LBM) in two‐dimensional approximation (2D) was used to validate the analytical results. Large eddy simulation (LES) Smagorinsky approach was used to close the LBM model. Computations revealed that the rate of turbulence decay is significantly different for the cases of positive and negative streamwise pressure gradient. The further comparisons showed that the analytical solution underpredicts the predictions by the numerical methodology, which can be attributed to the simplified problem statement used to derive the closed‐form analytical solution. Comparisons of calculations with experiments revealed that the theoretical models used in the study underpredict the measurements for flows with a positive pressure gradient. Hence it can be concluded that the LBM technique combined with the LES Smagorinsky model requires the further modification.
KW  - Fluidpartikelströmung
KW  - Analytical Method
KW  - Fluid Flow
KW  - Lattice Boltzmann Method
KW  - Turbulence Decay
KW  - Gitter-Boltzmann-Methode
Y1  - 2021
UN  - https://nbn-resolving.org/urn:nbn:de:hbz:832-epub4-16936
U6  - https://doi.org/10.1002/zamm.201900301
DO  - https://doi.org/10.1002/zamm.201900301
VL  - 101
IS  - 5
SP  - 15
S1  - 15
PB  - Wiley
ER  -