DS10 - Défi de tous les savoirs

Asymptotic Capturing for HYperbolic conservation Laws with LargE Source terms – ACHYLLES

Submission summary

The ACHYLLES project focuses on Long-Time Asymptotic-Preserving (LTAP) numerical schemes for hyperbolic systems of conservation laws supplemented by potentially stiff source terms.
It ambitions to perform a breakthrough in the understanding and efficiency of LTAP schemes by:

1. analyzing the behavior of the degeneracy of the solutions of the considered systems towards the asymptotic limit,
2. proposing relevant benchmarks,
3. improving existing LTAP schemes,
4. extending their range to take into account atypical situations.

An open-source computational platform will also be designed. Based on the numerical techniques developed in this project, it aims at being easily adaptable to any application involving systems of the same class.

Project coordination

Rodolphe Turpault (Institut de Mathématiques de Bordeaux)

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.

Partner

IMB Institut de Mathématiques de Bordeaux
LMV Laboratoire de Mathématiques de Versailles
LMJL Laboratoire de Mathématiques Jean-Leray

Help of the ANR 110,240 euros
Beginning and duration of the scientific project: September 2014 - 36 Months

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