scholarly journals The Vlasov-Navier-Stokes equations as a mean field limit

2019 ◽  
Vol 24 (8) ◽  
pp. 3741-3753
Author(s):  
Franco Flandoli ◽  
◽  
Marta Leocata ◽  
Cristiano Ricci ◽  
◽  
...  
Keyword(s):  
Stokes Equations ◽  
Mean Field ◽  
Navier Stokes ◽  
Field Limit ◽  
Mean Field Limit ◽  
Navier Stokes Equations

scholarly journals Mean Field Limit and Propagation of Chaos for a Pedestrian Flow Model

2016 ◽  
Vol 166 (2) ◽  
pp. 211-229 ◽  
Author(s):  
Li Chen ◽  
Simone Göttlich ◽  
Qitao Yin
Keyword(s):  
Flow Model ◽  
Mean Field ◽  
Propagation Of Chaos ◽  
Pedestrian Flow ◽  
Field Limit ◽  
Mean Field Limit

ESTIMATION OF UNIVERSAL FOR ATMOSPHERIC TURBULENT MULTIFRACTAL INDICES VELOCITY FIELDS

Fractals ◽  
1993 ◽  
Vol 01 (03) ◽  
pp. 568-575 ◽  
Author(s):  
F. SCHMITT ◽  
D. SCHERTZER ◽  
S. LOVEJOY ◽  
Y. BRUNET
Keyword(s):  
Stokes Equations ◽  
Mean Field ◽  
Navier Stokes ◽  
Velocity Measurements ◽  
Navier Stokes Equations ◽  
Turbulent Field ◽  
Important Index ◽  
The Mean ◽  
Multifractal Behavior ◽  
Statistics Of Turbulence

We study wind turbulence with the help of universal multifractals, using atmospheric high resolution time series. We empirically determine the three universal indices (H, C1, and α) which are sufficient to characterize the statistics of turbulence. The first, H, which characterizes the conservation of the field, is theoretically and empirically known to be ≈1/3, while C1 corresponds to the inhomogeneity of the mean field (C1=0 for homogeneous fields, and C1>0 for inhomogeneous and intermittent fields). The most important index is the Lévy index α corresponding to the degree of multifractality (0≤α≤2, α=0 for a monofractal). The two latter indices are directly obtained by applying the double trace moment technique (DTM) on the turbulent field. Analyzing various atmospheric velocity measurements we obtain: α≈1.45±0.1 and C1≈0.25±0.1. These results show that atmospheric turbulence has nearly the same multifractal behavior everywhere in the boundary layer, corresponding to unconditionally hard multifractal (α≥1) processes. This describes the entire hierarchy of singularities of the Navier-Stokes equations.

A mean-field approach to self-interacting networks, convergence and regularity

2021 ◽  
pp. 1-45
Author(s):  
Rémi Catellier ◽  
Yves D’Angelo ◽  
Cristiano Ricci
Keyword(s):  
Particle System ◽  
Mean Field ◽  
Spatial Evolution ◽  
Propagation Of Chaos ◽  
Interacting Particles ◽  
Field Limit ◽  
Mean Field Limit ◽  
Field Approach ◽  
Empirical Density ◽  
Interacting Networks

The propagation of chaos property for a system of interacting particles, describing the spatial evolution of a network of interacting filaments is studied. The creation of a network of mycelium is analyzed as representative case, and the generality of the modeling choices are discussed. Convergence of the empirical density for the particle system to its mean-field limit is proved, and a result of regularity for the solution is presented.

scholarly journals The Mean-Field Limit for Solid Particles in a Navier-Stokes Flow

2008 ◽  
Vol 131 (5) ◽  
pp. 941-967 ◽  
Author(s):  
Laurent Desvillettes ◽  
François Golse ◽  
Valeria Ricci
Keyword(s):  
Stokes Flow ◽  
Mean Field ◽  
Solid Particles ◽  
Navier Stokes ◽  
Field Limit ◽  
Mean Field Limit ◽  
The Mean

Effects of stator splitter blades on aerodynamic performance of a single-stage transonic axial compressor

2020 ◽  
Vol 14 (4) ◽  
pp. 7369-7378
Author(s):  
Ky-Quang Pham ◽  
Xuan-Truong Le ◽  
Cong-Truong Dinh
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Axial Compressor ◽  
Aerodynamic Performance ◽  
Numerical Results ◽  
Single Stage ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Operating Stability ◽  
Length Coverage

Splitter blades located between stator blades in a single-stage axial compressor were proposed and investigated in this work to find their effects on aerodynamic performance and operating stability. Aerodynamic performance of the compressor was evaluated using three-dimensional Reynolds-averaged Navier-Stokes equations using the k-e turbulence model with a scalable wall function. The numerical results for the typical performance parameters without stator splitter blades were validated in comparison with experimental data. The numerical results of a parametric study using four geometric parameters (chord length, coverage angle, height and position) of the stator splitter blades showed that the operational stability of the single-stage axial compressor enhances remarkably using the stator splitter blades. The splitters were effective in suppressing flow separation in the stator domain of the compressor at near-stall condition which affects considerably the aerodynamic performance of the compressor.

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