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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

New challenges in climate data analytics

superadmin |  8 June 2017

Christian Pagé, CERFACS, has been invited to present at the Forum Teratec 2017 in the HPC workshop, which will be held at École Polytechnique on June 27th and 28th. The TERATEC Forum is a major event in France and Europe that brings together the best international experts in HPC, Simulation and...Read more


PhD positions available in two Marie Curie programs to begin at CERFACS in 2017 on combustion instabilities

superadmin |  18 May 2017

CERFACS has won two Marie Curie (ec.europa.eu/research/mariecurieactions) projects on instabilities in combustion systems: the first one MAGISTER will focus on machine learning methods for combustion instabilities and is coordinated by Un. Twente (Netherlands) while the second one (ANNULIGHT) will...Read more

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