It is important for safety assessment of radioactive waste disposal facilities to simulate groundwater flow in heterogeneous fields accurately. In Europe and United States, studies for practical use of highly accurate analytical methods have been progressed more significantly than Japan. In our research of foreign papers, it is demonstrated that Mixed Finite Element methods, especially Discontinuous Galerkin Method (DGM) and Mixed-Hybrid Finite Element Method (MHFEM), are superior to existing methods such as Finite Element Method or Finite Volume Method. We have been developing the numerical simulation codes which are aimed to apply with mixed finite element methods.
This paper shows a part of results of our survey, outlines of mixed finite element methods (DGM and MHFEM) and examples of our application of these methods for various problems.
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