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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 funded for the EoCoE-II European center of excellence

superadmin |  11 October 2018

The European center of excellence EoCoE-II brings together 20 partners from 7 European countries around exascale computing for energy-oriented numerical models. As a follow-up to the proof-of-principle phase of EoCoE (energy-oriented center of excellence), EoCoE-II will build on its unique,...Read more


Cerfacs funded by the EU for more than 1 MEuros thanks to the IS-ENES3 and ESiWACE2 projects

superadmin |  4 October 2018

IS-ENES3 is the third phase of the distributed e-infrastructure of ENES (European Network for Earth System modelling), enabling the European climate modelling community to address the challenges of international intercomparison project CMIP6. IS-ENES3 will develop, document and deploy new and...Read more

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