Numerical analysis of a Reynolds Stress Model for turbulent mixing: the one-dimensional case

被引：1

作者：

Blanc, Xavier ^{[1
]}

Colavolpe, Charles ^{[2
]}

Duclous, Roland ^{[2
]}

Griffond, Jerome ^{[2
]}

Soulard, Olivier ^{[2
]}

机构：

[1] Univ Paris, Sorbonne Univ, CNRS, Lab Jacques Louis Lions, F-75013 Paris, France

[2] CEA, DAM, DIF, F-91297 Arpajon, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2021年 / 55卷 / 05期

关键词：

Turbulence; Reynolds Stress Model; incomplete mixing; demixing; hyperbolic system; APPROXIMATION; MIXTURES;

D O I：

10.1051/m2an/2021035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mixed hyperbolic-parabolic, non conservative, Reynolds Stress Model (RSM), is studied. It is based on an underlying set of Langevin equations, and allows to describe turbulent mixing, including transient demixing effects as well as incomplete mixing. Its mathematical structure is analysed, and specific regimes, related to acoustic-like, Riemann-type, or self-similar solutions, are identified. A second-order accurate numerical scheme is proposed in arbitrary curvilinear geometry. Its accuracy and convergence behaviour are tested by comparison with analytical solutions in the different regimes. The numerical scheme can be generalized to multi-dimensional configurations, with potentially cylindrical symmetry, on unstructured meshes.

引用

页码：1699 / 1740

页数：42

共 50 条

[1] EXPERIMENTAL-STUDY AND NUMERICAL-SIMULATION OF TURBULENT MIXING IN ONE-DIMENSIONAL FLOWS
ANDRONOV, VA
BAKHRAKH, SM
MESHKOV, EE
NIKIFOROV, VV
PEVNITSKII, AV
TOLSHMIAKOV, AI
DOKLADY AKADEMII NAUK SSSR, 1982, 264 (01): : 76 - 82
[2] A One-Dimensional Model for Turbulent Mixing in the Benthic Biolayer of Stream and Coastal Sediments
Grant, Stanley B.
Gomez-Velez, Jesus D.
Ghisalberti, Marco
Guymer, Ian
Boano, Fulvio
Roche, Kevin
Harvey, Judson
WATER RESOURCES RESEARCH, 2020, 56 (12)
[3] Upward Overshooting in Turbulent Compressible Convection. III. Calibrate Parameters for One-dimensional Reynolds Stress Model
Cai, Tao
ASTROPHYSICAL JOURNAL, 2020, 891 (01):
[4] Numerical analysis of a new model for the processes of the one-dimensional case of metal crystallization
Rykov Y.G.
Zaitsev N.A.
Mathematical Models and Computer Simulations, 2011, 3 (4) : 468 - 483
[5] Numerical analysis of three-dimensional turbulent flow in a 90° bent tube by algebraic Reynolds stress model
Sugiyama, Hitoshi
Akiyama, Mitsunobu
Shinohara, Yasunori
Hitomi, Daisuke
Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 1997, 63 (610): : 1920 - 1927
[6] A turbulent mixing Reynolds stress model fitted to match linear interaction analysis predictions
Griffond, J.
Soulard, O.
Souffland, D.
PHYSICA SCRIPTA, 2010, T142
[7] Numerical analysis of turbulent flow in a curved circular pipe by a Reynolds stress model
Sudou, Kouzou
Takami, Toshihiro
Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 1988, 54 (506): : 2755 - 2761
[8] Convolutional neural network models and interpretability for the anisotropic reynolds stress tensor in turbulent one-dimensional flows
Borde, Haitz Saez de Ocariz
Sondak, David
Protopapas, Pavlos
JOURNAL OF TURBULENCE, 2022, 23 (1-2): : 1 - 28
[9] On independent degrees of freedom of turbulent mixing: The one-dimensional formulation
Kioroglou, Sotiris
PHYSICS OF FLUIDS, 2021, 33 (10)
[10] A Consistent one-Dimensional Model for the Turbulent Tachocline
K. Petrovay
Solar Physics, 2003, 215 : 17 - 30

← 1 2 3 4 5 →