Communication Dans Un Congrès Année : 2017

Development of algorithmic strategies for numerical simulation of coupled mechanical-diffusion problems based on variational formulations

Résumé

The aim of the research is the exploration of novel algorithms strategies for numerical simulation of non-linear strongly coupled mechanics-diffusion problems. The former is based on a proposed variational formulation approach which provides a natural framework for coupled problems, with numerical benefits such as efficiency, flexibility and robustness in algorithms overcoming classical results. Through a variational formulation, the solution for a mechanics-diffusion problem can be stated as an optimization process. The main topics of the research are two. On the one hand, the mathematical formulation of the problem is seek in a variational form. This formulation is consistent with entropy-like conditions. Moreover, this form of the problem is also exploited to develop different physically-based solution strategies for the coupled problem. On the other hand, a generic solution framework for monolithic approaches is used and delved, exploiting the mathematical structure from the variational formulation. Comparison of the block physically-based preconditioners will be shown against generic block preconditioners for coupled problems. The aforementioned altogether envisions the development and analysis of different algorithmic strategies while dealing with mechanic-diffusion systems, covering from the mathematical formulation of the problem to its solution.

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Dates et versions

hal-02279992 , version 1 (22-09-2019)

Identifiants

  • HAL Id : hal-02279992 , version 1

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Laurent Stainier, Thomas Heuzé, Jorge de Anda Salazar. Development of algorithmic strategies for numerical simulation of coupled mechanical-diffusion problems based on variational formulations. COUPLED 2017 VII International Conference on Coupled Problems in Science and Engineering, Jun 2017, Rhodes Island, Greece. ⟨hal-02279992⟩
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