Numerical Methods

NUCLETUDES’ purpose of modeling complex physic phenomena has made the company develop high performance mathematical schemes that can address multi-scale/multi-domain problems. Some of these in-house software applications are specifically used to model different types of electromagnetic couplings (see EM-IRM page).

NUCLETUDES has thus invested in a significant way:

• in innovative numerical methods,
• in the development of complex software applications,
• in dedicated heavy computation hardware.

NUCLETUDES is able to model electromagnetic phenomena, with or without plasma (resolution of Maxwell-Vlasov equations,…) thanks to a team composed of physicists and mathematicians.

This team masters the usual standard numerical methods such as:

• the Finite Elements Method (FEM),
• Finite Volumes Time Domain (FVTD),
• Finite Differences Time Domain (FDTD).
  

This team has also acquired a huge experience in the implementation of the Discontinuous Galerkin Time Domain (DGTD) method which offers multiple advantages such as:

• implementing local refinement of conformal or non-conformal mesh in order to reduce the computation load,
• using hybrid or destructured (h-adaptivity) mesh to precisely model sharp shapes and curves,
• using a local adaptive resolution order (p-adaptivity) to address small slits and slots,
• implementing high order spatiotemporal resolutions.

NUCLETUDES also works on the hybridization of GDTD with standard methods such as FDTD to optimize the computation load.

NUCLETUDES is involved in different collaboration schemes with research institutes (CEA, French Aerospace Lab ONERA, INRIA, CERFACS,…) and with EADS Innovation Works (EADS corporate research facilities).

The in-house developed software applications have been validated through test campaigns using NUCLETUDES’own test facilities and external infrastuctures (e.g. CEA).

NUCLETUDES also designs engineering software tools for various purposes. In this frame, NULETUDES has acquired a strong experience in the design of complex Human-Machine Interfaces (MHI) / Graphical User Interfaces (GUI).