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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

Sparse Days Meeting 2019 at Cerfacs, Toulouse

Brigitte Yzel |  12 May 2019

The annual Sparse Days meeting will be held at CERFACS in Toulouse on 11th and 12th July 2019. Registration for the Sparse Days is free but we ask people who are coming to register as soon as possible although the deadline is June 14th. Please complete the registration form (deadline : June 14th) indicating whether you want to give a talk and whether you wish to attend the conference dinner. Although an emphasis will be on parallel aspects, any talk that has an association with sparsity is welcome.Read more


The Telemac-Mascaret User Conference 2019 will be held in Toulouse on October 15-17th

superadmin |  2 May 2019

The conference  is organized by the European Center for Advanced Research and Training for Computational Science (CERFACS), on the Météo-France campus, in the conference room CIC. The conference will start with a one-day technical workshop (October 15th 2019), followed by a two-day conference on October 16-17th. A gala dinner will take place on the 16th evening for delegates and guests. Please check  more details.Read more

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