Modelling of an Underground Waste Disposal Site by Upscaling and Simulation with Domain Decomposition Method
Modelling of an Underground Waste Disposal Site by Upscaling and Simulation with Domain Decomposition Method
复制标题
采用域分解方法进行放大和仿真的地下废物处理场建模
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
D. Tromeur
中科院分区：
文献类型：
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作者：
I. Boursier;A. Bourgeat;D. Tromeur
我们得到一个放大的，但准确的2D模型的全球行为的地下放射性废物处置。这种计算在安全评价过程中经常发生。渐近发展的解决方案导致解决条款的1阶更经常和稳定状态的辅助问题。采用非匹配谱网格的Neumann-Dirichlet区域分解方法求解这些辅助问题。傅立叶和切比雪夫多项式近似的解决方案，取决于边界条件上实施的子域。由于谱表示的解决方案或其衍生物允许不同的网格的接口之间的精确映射，我们加快收敛的Neumann-Dirichlet方法的艾特肯加速，这是敏感的人工接口上的的精确表示的N-S解。为了增强谱近似的正则性，在问题右侧的人工界面上实现了一些正则扩展和过滤技术，并给出了相应的解决方案。
We derive an upscaled but accurate 2D model of the global behavior of an underground radioactive waste disposal. This kind of computation occurs in safety assessment process. Asymptotic development of the solution leads to solve terms of order 1 on more regular and steady-state auxiliary problems. Neumann-Dirichlet domain decomposition methods, with non matching spectral grids, are performed to solve those auxiliary problems. Fourier and Chebychev polynomials approximation of the solution are used depending on boundary conditions implemented on subdomains. Since spectral representation of the solution or its derivatives allows accurate mappings between the interfaces of the different grids, we speed up the convergence of the Neumann-Dirichlet method by the Aitken acceleration which is sensitive to the accuracy of the representation of the iterate solution on the artificial interfaces. In order to enforce regularity for the spectral approximation, some regular extensions and filtering techniques on the artificial interfaces for the right hand side of the problem and the iterate solution are implemented.