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Numerical Methods

 

Background

The numerical simulation of physical systems based on partial differential equations plays a central role at CERFACS. Within this transverse axis we study efficient and reliable numerical methods for the numerical approximation and solution of such problems with our partners. We aim at analyzing and developing fast and accurate numerical methods and target a broad range of solution methods adapted to modern parallel platforms.

Objectives

The main goal is to develop fast and accurate high-order numerical methods for the solution of time-dependent partial differential equations in fluid mechanics related to the simulation of turbulent flows on complex three-dimensional geometries.

Simultaneously, we maintain and further develop expertise on selected core problems in numerical linear algebra that are relevant for both CERFACS teams and shareholders. This includes, e.g., the solution of sparse linear systems of equations with direct, mixed direct/iterative methods or purely iterative methods, the design of preconditioners for Krylov subspace methods exploiting the structure of the system (such as systems of saddle-point type arising in PDE constrained optimization and variational methods in data assimilation), the solution of sequences of linear and nonlinear systems. This research should lead to both new algorithms of interest for the linear algebra community and software available for CERFACS teams and shareholders.

Research fields

  • Aerodynamics
  • Climate modelling
  • Combustion
  • Geophysical flows
  • Structural mechanics

Software

Partners

CERFACS Partners

CERFACS Partners

NEWS

Young PhD day (JDD) – Thursday 8 October 2020

Brigitte Yzel |  24 September 2020

  Ph.D. Students' Day (JDD 2020) Thursday 8 October 2020 Virtual event open to our partners and associates   Planning   The 2020 edition of the PhD Students' Day will take place on October 8th, 2020. This year, this day of the PhD students of the Cerfacs, will take place mainly in visio in order to respect all the health safety measures relating to Covid-19. This day will be held in a virtual way through oral presentations filmed and broadcast on a private link, which we will distribute to all participants. Everyone will thus be able to discover at a distance the subjects developed by the doctoral students. At the same time, the "Posters session" will be opened on the morning of the JDD, by sending all the posters in pdf format by e-mail to all the participants for consultation, and by opening the "50-minute question session" on a channel whose links we will send you. This will allow participants to ask questions about the posters of the session. Finally, we have included in this 5th edition a great novelty, by allowing several students to present their subject in the popularised form of "My thesis in 3 minutes", guided by Matthieu Pouget, actor and theatre director. This day will end with the vote for the "Best poster" and the "Best presentation of My thesis in 3 minutes". Participation in the event is free of charge. However, for logistical reasons, registration, only by invitation, is mandatory.   Organising Committee:  Scientific committee  Nicolas Venkovic Victor Xing Inscription &  information Jade Schweiger Brigitte Yzel  Read more


Sparse Days 2020, Cerfacs

Brigitte Yzel |  24 September 2020

Sparse Days Meeting 2020  23 - 24 November 2020 Virtual Workshop   The annual Sparse Days meeting will be held this year as a virtual event, on 23 - 24 November 2020. Sadly, because of the pandemic, we will not be able to have a normal face-to-face Sparse Days at Cerfacs this year. We will be holding an online version from 3pm to 7pm on 23 and 24 November. The timing is chosen to accommodate participants from North America since, at normal Sparse Days, we have a good representation from there. A registration form  is available on this conference website where you can also submit a title and an abstract for any proposed talk. We will probably be using the Webex system and will post details about how to connect to all people who register.Read more

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