Modelling multi-domain large deformation problems using an Eulerian monolithic approach in a massively parallel environment

Abstract : Modeling of multi-domain problems is addressed in a Purely Eulerian framework. A single mesh is used all over the domain. The evolution of the different interacting bodies is described using numerical tools such as the Level Set method. The characteristics of the subdomains, considered as heterogeneities in the mesh, are determined using mixture laws.This work is one of the first attempts applying fully Eulerian Approach to Model large deformation problems. Therefore, the capacity of this approach is tested to determine necessary developments. The friction between the different objects is managed by adding a boundary layer implying the presence of a lubricant. Combined with an identification technique, a new quadratic mixture Law is introduced to determine the lubricant viscosity. Comparisons have been performed with Forge® and results were found satisfactory. To treat the contact problem between the different objects, a directional solver was developed. Despite the interesting results, it remains the topic of further improvements. The scalability of the approach in a massively parallel environment is tested as well. Several recommendations were proposed to ensure an optimal performance. The technique of a single mesh guarantees a very good scalability since the efficiency of parallelism depends of the partition of a single mesh (unlike the Lagrangian Methods). The proposed method presents undeniable capacities but remains far from being complete. Ideas for future Improvements are proposed accordingly.
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Fadi El Haddad. Modelling multi-domain large deformation problems using an Eulerian monolithic approach in a massively parallel environment. Modeling and Simulation. Ecole Nationale Supérieure des Mines de Paris, 2015. English. ⟨NNT : 2015ENMP0011⟩. ⟨tel-01228591⟩

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