Cerfacs is Qualiopi certified for its training activities

Duration : 1 day (7 hours)

Satisfaction index

In November 2021, 100% of the participants were satisfied or very satisfied

(results collected from 6 respondents out of 8 participants, a response rate of 75%)

Abstract

Large Eddy Simulation (LES) demands high-fidelity numerical schemes characterized by superior spectral properties specifically, minimal dissipation and dispersion errors. While conventional high-order methods (such as k-exact, WENO/TENO, or compact schemes) effectively meet these requirements on structured grids, their performance remains less certain for complex geometries necessitated by unstructured meshes.

To address the inherent limitations of standard methods on unstructured topologies, discontinuous spectral methods have been developed. Within this framework, conservative variables are represented as local polynomials within each control volume, defined across multiple degrees of freedom per cell.

This training session provides an in-depth introduction to these “spectral discontinuous” approaches. Following a comprehensive literature review, we will focus on practical applications utilizing in-house solvers developed at CERFACS that leverage these advanced methodologies.

Objective of the training

The objective of the training is to learn about high-order methods in CFD with in-depth focus on discontinuous high-order approaches.

Learning outcomes

By the end of this training, participants will be equipped to:

1. Define and characterize the fundamental principles of high-order (HO) numerical methods.
2. Evaluate the advantages and trade-offs of high-order methods compared to traditional low-order approaches.
3. Categorize and classify various high-order methodologies based on their mathematical formulations.
4. Identify state-of-the-art applications using such methods and survey the global landscape of current high-order production codes and solvers.
5. Differentiate between key high-order discontinuous (HOD) frameworks.
6. Execute and analyze Large Eddy Simulations (LES) using these advanced numerical techniques.

Teaching methods

The training is an alternation of theoretical presentations and practical work. A multiple choice question allows the final evaluation. The training room is equipped with computers, the work can be done in sub-groups of two people.

Referent teacher : Thomas MARCHAL

Target participants

This training session is for students, engineers, physicists and computer scientists who wish to reinforce or extend their theoretical background to the precise use and analysis of CFD simulations.

Prerequisites and registration

In order to follow this course, you need to:

• Knowledge of Unix commands.
• Knowledge of numerical flow simulations
• The training can take place in French or English depending on the audience, level B2 of the CEFR is required.

To verify that the prerequisites are satisfied, the following questionnaire must be completed. You need to get at least 75% of correct answers in order to be authorized to follow this training session. If you don’t succeed it, your subscription will not be validated. You only have two chances to complete it.

Questionnaire and registration:  click here

Deadline for registration: 15 days before the starting date

Before signing up, you may wish to report us any particular constraints (schedules, health, unavailability…) at the following e-mail address: training@cerfacs.fr

Fee

• Trainees/PhDs/PostDocs : 112 € excl. tax
• CERFACS shareholders/CNRS/INRIA : 280 € excl. tax
• Public : 560 € excl. tax

Program

Morning:

1. Introduction and context of high-order methods
2. Review of high-order schemes/methods in CFD
3. Focus on high-order discontinuous methods in CFD

Afternoon:

Practical use of high-order discontinuous solvers:
– check convergence orders on academic test cases
– see the influence on accuracy of refining mesh and/or using higher polynomial degrees
– see the influence on results of using high-order meshes on curved elements
– perform post-processing
– look at serial and parallel performance (weak and strong scalings)

Evaluation of learning

A final exam will be conducted during the training.