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

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