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Turbulent Flows Course-Basic Concept, Modeling and CFD Simulation-Run2 2024

Live-Online Course, 12 Lectures x 90 min (6 Weeks) 7 May to 13 June 2024 , Tuesdays and Thursdays, 3:00-4:30) pm Berlin Time. Registration Form 👇 , Deadlines: For early registration discounts 10 April, Regular 20 April, Extended 07 May). A basic course on Turbulence Concept, Modeling and CFD Simulation including basic turbulence models such as k-e and k-w and advanced and complicated turbulence models such as SST, RSM and turbulence-resolving methods such as LES, DES, PANS.

Course content

The physics of turbulence, molecular and eddy viscosities concepts and scales, energy cascade and budget of turbulent motion will be discussed. The Reynolds Averaged Navier Stokes (RANS), Turbulent Shear Stress and the clouser problem will be discussed towards introducing zero and two equation models (K-e, K-w, …). Reynolds Stress Models (RSM) also will be introduced in some detail. Different modeling approaches will be discussed and practiced for CFD simulations of selected fluid dynamics, heat and mass transfer case studies.

Turbulence-resolving methods will be discussed including:

  • LES (Large Eddy Simulations).
  • URANS (Unsteady Reynolds-Averaged Navier-Stokes)
  • DES (Detached-Eddy Simulations)

In LES the Navier-Stokes equations are filtered over a small volume (usually the computational cell). Thereby the dependent variables are split into one subgrid part (turbulent fluctuations smaller than the cell) and one resolved part (turbulent scales which are resolved by our numerical method)

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Lectures:

 Introduction 
Lecture1Turbulence Basic Concepts, Definition and Specifications, Modeling Approaches, Large and Small Eddies, Energy cascade and process created by vorticity, Types of Turbulence, l Time averaged Navier-Stokes, Closure Problem 
Lecture2Scales in Turbulence, Vorticity, Vortex and Eddy concepts, Correlation function for
estimation of eddies distribution size, Kolmogorov Hypothesis on eddies size
and energy cascade.

Types of Turbulent Flows, Homogeneity & Isotropic properties, Direct Numerical Simulation(DNS), required mesh size and time step as the function of Reynolds, Averaging in space and time towards RANS modeling
 
 Turbulence Models 
Lecture3Turbulence Models Introduction, Boussinesq Assumption, Eddy-viscosity Zero Equation Models, The Modelled k Equation, One Equation Models  
Lecture4Two-Equation Turbulence Models, Wall Functions, K-e and K-w Models, Transport Equation for Turbulent kinetic energy, Spatial vs. spectral energy transfer 
Lecture5Low-Re Number Turbulence Models, Low-Re K-e & K-w Models, Non-Isotropic K-e 
Lecture6Boundary Conditions in Turbulence, Inlet/Outlet Conditions, Wall Functions, K-e values at boundary layer, Wall Treatment B.C., Low
Reynolds (near wall) K-e and K-w models.
 
Lecture7Turbulence CFD Simulation 1: RANS, k-omega, k-epsilon (Computational Code Programing, Open Foam, SimScale/Ansys) 
Lecture8Renormalized Group (RNG) , Shear Stress Transport (SST), Reynolds Stress Models (RSM) Turbulence Modeling, concepts, methodologies and applications. 
 Large Eddy Simulation 
Lecture9Large Eddy Simulations Time averaging and filtering, Differences between time-averaging (RANS) and space filtering (LES)Resolved & SGS scales, The box-filter and the cut-off filter, Highest resolved wavenumbers 
Lecture10Large Eddy Simulations (Cont.) Subgrid model, Smagorinsky model vs. mixing-length model RANS vs. LES One-equation ksgs model, Smagorinsky model derived from the ksgs equation, A dynamic one-equation model, A Mixed Model Based on a One-Eq. Model, Applied LES Resolution requirements 
 DES: Detached Eddy Simulation 
Lecture11DES DES based on two-equation models, DES based on the K-w SST model, DDES Hybrid LES-RANS Momentum equations in hybrid LES-RANS, The one-equation hybrid LES-RANS model 
Lecture12Turbulence CFD Simulation 2: LES Open Foam Programing, SimScale/Ansys 

Prerequisites

  • Fluid Mechanics or Viscous Fluid Flow, CFD or some related courses
  • Familiar with some software (Open Foam, Ansys Fluent, .. Coding, )

Selected References:

1- P. A. Durbin and B. A. Pettersson Reif “Statistical Theory and Modeling for Turbulent Flows” 2011, Second Edition.

2-Davis C. Wilcox “Turbulence Model for CFD” 2006, third edition.

3- S.B. Pope. Turbulent Flow. Cambridge University Press, Cambridge, UK, 2001.

4-H. Tennekes and J.L. Lumley. A First Course in Turbulence. The MIT Press, Cambridge, Massachusetts, 1972.

5- P. Bradshaw. Turbulence. Springer-Verlag, Berlin, 1976.

6- Papers, Reports and Slides given you during the course. 

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    1. Dear Xinyi, thanks for your message. I think WAC Registration Section replied you already about starting our course on Thursday 14:30 (Berlin Time), and sent you the details and required WAC Zoom link. Please let us know if you need more information and support that we can do.