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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

CERFACS is partner in the “Chaire ANR industrielle” POSEIDON, inaugurated january 27th at Ecole Polytechnique

superadmin |  14 March 2017

POSEIDON, one of the 5 « Chaires ANR industrielles » selected in 2016, is interested in « New plasma thrusters for satellites in low Earth orbit ». Coordinated by Anne Bourdon from the Laboratoire de Physique des Plasmas, this project gathers Ecole Polytechnique, CNRS and Safran Aircraft...Read more


Le train du climat revient en 2017

ROGEL |  9 March 2017

Le Train du Climat crée un espace pédagogique de rencontre entre scientifiques et citoyens autour du changement climatique. La saison 1 avait été un succès dans le contexte de la COP21. Voici la saison 2, qui mobilise cette fois encore plusieurs ingénieurs et chercheurs du...Read more

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