Verification of meshless methods in transport modelling of radionuclide migration through the porous media. (English) Zbl 1180.76048

Sladek, Jan (ed.) et al., Advances in meshless methods. Forsyth, GA: Tech Science Press (ISBN 0-9717880-2-2/hbk). 317-334 (2006).
Summary: Assessment of the transport of long-lived radioactive nuclides from the repository to the biological environment is an important part of the safety analysis of repository concepts. The most important input data are obtained from field measurements, which are usually very scattered. In such cases, geostatistical science offers a variety of spatial estimation procedures. In recent years, the meshless (mesh free) methods have emerged as a novel computing method in the scientific computing community. In this paper we present a collocation method based on multiquadric (MQ) and inverse multiquadric (IMQ) functions with integral formulation for calculation of a pressure head which is the first step of radionuclide transport modelling. We are going to present two examples. In the first one, we are considering water flux coming from the clay towards an open cylindrical gallery. The results were compared with an analytical solution and commercial programs (PORFLOW 3.07 and HYDRUS-2D). The second one is intended for the modelling of the groundwater flow field for steady-state conditions. The results were compared with the finite difference method (FDM).
For the entire collection see [Zbl 1103.74005].


76M25 Other numerical methods (fluid mechanics) (MSC2010)
76S05 Flows in porous media; filtration; seepage
76M20 Finite difference methods applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography