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# Elements of Turbulence Modelling

## Two-session NAFEMS e-learning course

April 26th - May 3rd, 2017

06:00 PDT /  09:00 EDT / 14:00 BST / 15:00 CEST

Two-Session Online Training Course - 2 hours/session and one session/week

This course has been expanded from the original one session to two sessions, in order to cover even more content and allow more time for questions and tutor interaction.

Note: Once you register for the course using the "order" button (look right), you will receive a confirmation e-mail.  Please click here to view the FAQ section, or if you need to contact NAFEMS about this course.

## Course Overview

The majority of flows in nature and in engineering applications are turbulent. Turbulent flow fields are three dimensional, chaotic, diffusive, dissipative, and random. These flows are characterized by velocity fluctuations in all directions with infinite number of scales. Exact analytical solution of Navier-Stokes equations for turbulent flows is not currently possible since these equations are elliptic, non‐linear, and coupled.

Furthermore, direct numerical simulation (DNS) of turbulent flows is not currently practical due to significant computational resources required. So far, direct numerical simulation  approach has only been applied for a limited class of simple low Reynolds number applications.

Presently, turbulence modelling based on Reynolds-Averaged Navier Stokes (RANS) equations is the most common and practical approach for turbulence simulation. RANS are time-averaged modification of Navier-Stokes equations and turbulence models are semi-empirical mathematical relations that are used to predict the general effect of turbulence. The objective of turbulence modelling is to develop equations that will predict the time-averaged velocity, pressure, and temperature fields without calculating the complete turbulent flow pattern as a function of time. Unfortunately, there is no single universally accepted turbulence model that works for all flows and all regimes. Therefore, users have to use engineering judgement to choose from a number of different alternatives sine the accuracy and effectiveness of each model varies depending on the application.

## Course Process and Details

### This course is completely code independent - No software is required.

Successful application of turbulence modelling requires engineering judgement depending on physics of the flow, accuracy, project requirements, turnaround time, and computational resources available.

This course offers the attendees the practical knowledge for using turbulence modelling for complex engineering applications

Through a simple and moderately technical approach, this course describes why we need turbulence modelling and how these models represent turbulent flows. Various approaches and number of popular turbulence models will be discussed along with advantages and disadvantages of these models. Many of the governing and transport equations will be presented for illustration purposes and may not be dealt in depth in this course. Strong effort is made for the course to be software neutral. However, examples from some of the more well known and popular simulation cases and software will be used throughout the session.

Full notes are provided for the attendees.

Students will join the audio portion of the meetings by utilizing the VoIP (i.e. headset connected to the computer via headphone and microphone jacks) or by calling into a standard toll line. If you are interested in additional pricing to call-in using a toll-free line, please send an email to: e-learning @ nafems.org .

## Who Should Attend?

This course will be valuable to all engineers aiming to use Computational Fluid Dynamics as a reliable predictive tool for complex flow problems. The target audience for this course is practising engineers who wish to learn more about how to choose and apply effective turbulence modelling in their CFD analysis.  Ideally, the participant should have some knowledge of Computational Fluid Dynamics analysis, but this is not essential. The material that is presented is independent of any particular software package, making it ideally suited to current and potential users of all commercial and non-commercial CFD software systems.

## Course Content

• Understanding turbulence
• Turbulence energy cascade & vortex stretching
• Turbulence scales
• Turbulence generation and destruction
• Discussion on DNS & LES
• Turbulent stresses
• RANS simulation
• Turbulence  modelling
• First order models: One-equation & Two-equations models
• Wall integration & wall function
• Detached eddy simulation
• URANS
• Model Validations

## Feedback from former e-Learning students:

"This course did everything right. From organization to presentation to interaction, this is a good model for what online training should be."

B.T.

"Super! Doesn't get better than this. Good idea to start having e-Learning courses."

R.P.

"I'm really happy not to pay a big fraction of my annual training budget to airlines and hotels. A BIG plus to e-learning."

V.G.

### Special Note(s):

Telephony surcharges may apply for attendees who are located outside of North America, South America and Europe. These surcharges are related to individuals who join the audio portion of the web-meeting by calling in to the provided toll/toll-free teleconferencing lines. We have made a VoIP option available so anyone attending the class can join using a headset (headphones w/ microphone) connected to the computer. There is no associated surcharge to utilize the VoIP option, and is actually encouraged to ensure NAFEMS is able to keep the e-Learning course fees as low as possible. Please send an email to the e-Learning coordinator (e-learning @ nafems.org ) to determine if these surcharges may apply to your specific case.

Just as with a live face-to-face training course, each registration only covers one person. If you plan to register a large group (10+), please send an email to e-learning @ nafems.org in advance for group discounts.

For NAFEMS cancellation and transfer policy, click here

## Details

Event Type: Course
Location: e-Learning Online
Date: April 26, 2017

Not Available to Attend this Time?

Would you like us to notify you when the next course on Elements of Turbulence Modeling is open for enrollment? If so, add yourself to the eLearning Waitlist!

## Course Tutor:Kamran Fouladi

### Session 1:Wednesday, April 26th Session 2:Wednesday, May 3rd

Why an e-Learning Class?

In the current climate travel and training budgets are tight. To help you still meet your training needs the following e-learning course has been developed to complement the live class.

E-learning classes are ideal for companies with a group of engineers requiring training. E-learning classes can be provided to suit your needs and timescale. Contact us to discuss your requirements.