Since they represent fundamental physical properties in turbulence (conservation laws, wall laws, Kolmogorov energy spectrum, . . . ), symmetries are used to analyse common turbulence models. A class of symmetry preserving turbulence models is proposed. This class is refined such that the models respect the second law of thermodynamics. Finally, an example of model belonging to the class is num...

We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions. Key-words : oceanography, turbulence models, stability, partial differential equations MSC classification : 35J60, 35K55, 76E20, 76F40

The effectiveness of a three-dimensional mixed-flow turbulence model describing airspeed and temperature distribution in a laboratory scale slot-ventilated chamber was evaluated. Airspeed and temperature profiles were investigated near the inlet jet region and along an axial line extending from the inlet. The observed jet-floor impingement location was accurately predicted^ with a maximum diffe...

Evaluation of Various Turbulence Models in Predicting Airflow and 1 Turbulence in Enclosed Environments by CFD: Part-1: 2 Summary of Prevalent Turbulence Models 3 4 Zhiqiang Zhai Zhao Zhang Wei Zhang Qingyan Chen 5 Member ASHRAE Student Member ASHRAE Member ASHRAE Fellow ASHRAE 6 7 Air distributions in enclosed environments are crucial to thermal comfort and air quality. 8 Computational fluid d...

We present a mathematically well founded approach for the synthetic modeling of turbulent flows using generative adversarial networks (GAN). Based on analysis chaotic, deterministic systems in terms ergodicity, we outline mathematical proof that GAN can actually learn to sample state snapshots form invariant measure chaotic system. this analysis, study hierarchy starting with Lorenz attractor a...

This report presents the use of a time-marching threedimensional (3-D) compressible Navier-Stokes equation numerical solver with a one-equation turbulence model to simulate the flow fields developed along concave wall surfaces without and with a downstream extension flat wall surface. The 3-D Navier-Stokes numerical solver came from the NASA Glenn-HT code. The one-equation turbulence model was ...

With the growth in world population, the density of crowds in public places has been increasing steadily, leading to a higher incidence of crowd disasters at high densities. Recent research suggests that emergent chaotic behavior at high densities-known collectively as crowd turbulence-is to blame. Thus, a deeper understanding of crowd turbulence is needed to facilitate efforts to prevent and p...