XING , Feng

The aim of this paper is to develop new optimized Schwarz algorithms for the one dimensional Schrödinger equation with linear or nonlinear potential. After presenting the classical algorithm which is an iterative process, we propose a new algorithm for the Schrödinger equation with time-independent linear potential. Thanks to two main...

The aim of this paper is to develop new optimized Schwarz algorithms for the one dimensional Schrödinger equation with linear and nonlinear potential. The classical algorithm is an iterative process. In case of time-independent linear potential, we construct explicitly the interface problem and use direct LU method on the interface problem. The...

In this paper, we apply the optimized Schwarz method to the two dimensional nonlinear Schrödinger equation and extend this method to the simulation of Bose-Einstein condensates (Gross-Pitaevskii equation). We propose an extended version of the Schwartz method by introducing a preconditioned algorithm. The two algorithms are studied numerically....

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This paper proposes a parallel numerical algorithm to simulate the flow and the transport in a discrete fracture network taking into account the mass exchanges with the surrounding matrix. The discretization of the Darcy fluxes is based on the Vertex Approximate Gradient finite volume scheme adapted to polyhedral meshes and to heterogeneous...

This paper introduces a new discrete fracture model accounting for non-isothermal compositional multiphase Darcy flows and complex networks of fractures with intersecting, immersed and non immersed fractures. The so called hybrid-dimensional model using a 2D model in the fractures coupled with a 3D model in the matrix is first derived...

Deep geothermal systems often lie in complex geological settings, with multi-scale geological structures that exert a dominant control on convective processes and the transfer of geothermal heat. Methods based on the implicit description of geometrical objects offer an efficient framework to quickly build structural models of such contexts with...

To answer the need for an efficient and robust geothermal simulation tool going beyond existing code capabilities in terms of geological and physical complexity, we have started to develop a parallel geothermal simulator based on unstructured meshes. The model takes into account complex geology including fault networks acting as major heat and...

Afin de mieux caractériser les ressources géothermales profondes, à l'aide de modèles conceptuels quantitatifs, physiquement cohérents, l'intégration de différentes approches est nécessaire. Ces systèmes, tout particulièrement ceux de haute énergie, se trouvent souvent dans des contextes géodynamiquement actifs avec une architecture géologique...