Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination

Abstract

In this paper, the coupled advection-dominated diffusion-reaction equations which arise in the prevention of groundwater contamination problem are approximated by usual finite element method (FEM). It is clear that by increasing the number of elements to improve computational accuracy, we have to incur a lot of costs. The main presented idea is to reduce the used CPU time for employing the finite-element method by combining that with a technique which reduces the dimension of the problem. To this end, we apply the proper orthogonal decomposition (POD) technique to the usual FEM for the prevention of groundwater contamination problem to reduce CPU time with acceptable accuracy. Numerical examples are provided to illustrate efficiency and validity of the proposed method.

Virtual simulation of fracture behavior of concrete blocks under blast loading

“…Current research on the response and failure mechanisms of concrete structures under explosive impact loads primarily employs numerical simulation methods to explore the analysis of target damage and fracture [14][15][16][17][18][19][20]. However, numerical simulation methods typically require a substantial amount of computational resources due to complex mathematical modeling and large-scale iterative calculations [21][22][23]. Moreover, the complexity of the model can affect computational efficiency [24].…”

Fusion Chaos Neural Network Algorithm to Control Water Pollution Prevention in Mine Reconstruction Projects

“…Due to the large number of coal mines, the massive mining of coal mines as well as the long mining history has formed mine pit drainage, gangue piles and thus collapse ponds, resulting in varying degrees of soil and water pollution (including conventional components and heavy metal pollution), which can even affect the water environment and water ecology in mining areas, and it is very difficult to study the elimination of regional soil and water pollution [1]. Although some previous studies have been carried out, the mechanism of soil and water pollution under mining conditions and the mode of pollution are not yet clear, but there is an urgent need to study the mechanism of heavy metal pollution from coal mining and to assess, predict and analyse the pollution status in order to provide reference material for further studies on water pollution in mining areas later [2]. Numerous studies have been conducted by domestic scholars on the practical application of numerical simulations and the conversion of results to characterise the hydrogeological features of the study area.…”