Domain decomposition finite element method for simulating Darcy velocity at interface of groundwater medium

Abstract

The invention discloses a domain decomposition finite element method for simulating Darcy speed at an underground medium interface. The method comprises the following steps: performing variation on anunderground flow problem by using a Galerkin method, sub-dividing a research domain, and acquiring waterhead by applying the finite element method; decomposing the research domain into a plurality ofsingle-medium sub-domains by applying interfaces of different mediums according to the medium composition of the research domain, and decomposing an underground Darcy speed solution problem on the research domain into sub-problems on the sub-domain by applying the domain decomposition method; selecting one sub-problem, performing variation by using the Galerkin method, and acquiring the Darcy speed by applying a Galerkin model of the Yeh, acquiring the Darcy speed at the other side of the interface of the sub-domain and other sub-domain by combining with the refraction law as the first classof boundary condition of the adjacent sub-problem; selecting the next sub-problem to solve, and repeating this process until all sub-problems are completely solved. By using the method disclosed by the invention, the computing consumption of the Darcy speed is reduced through the domain decomposition method, and the precision of the Darcy speed at the interface is guaranteed by using the refraction law.

Description

technical field

[0001] The invention belongs to the technical field of hydraulics, and in particular relates to a regional decomposition finite element method for simulating the Darcy velocity at the interface of groundwater media. Background technique

[0002] Groundwater is an important part of water resources and an important resource for human survival. The velocity and flow of groundwater can accurately describe the movement state of groundwater, which is of great significance to groundwater problems, especially solute transport problems. Therefore, it is of great significance to develop an accurate and efficient groundwater Darcy velocity algorithm for the investigation of groundwater numerical simulation.

[0003] Most groundwater media in nature are heterogeneous, and factors such as groundwater interface, cracks, and lenses will affect the heterogeneity of groundwater media. When simulating many groundwater problems in nature, the research area can be divided into...

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