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Multi-scale finite element method-regional decomposition combination method for simulating groundwater flow and Darcy velocity

A technology of finite element method and regional decomposition, applied in the field of multi-scale finite element method-regional decomposition combination method, can solve the problems of low efficiency, increased calculation consumption, high time and space calculation consumption, etc., to ensure continuity, improve efficiency, The effect of enriching the method system

Inactive Publication Date: 2021-12-28
HOHAI UNIV
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Problems solved by technology

When the space-time scale of the groundwater problem expands, the required calculation consumption will also increase significantly. When simulating such problems, the time and space calculation consumption of the traditional finite element method is very high, and it also has high requirements for computing hardware. low efficiency

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  • Multi-scale finite element method-regional decomposition combination method for simulating groundwater flow and Darcy velocity
  • Multi-scale finite element method-regional decomposition combination method for simulating groundwater flow and Darcy velocity
  • Multi-scale finite element method-regional decomposition combination method for simulating groundwater flow and Darcy velocity

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Embodiment Construction

[0036] The technical solutions of the present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0037] A multi-scale finite element method-area decomposition combination method for simulating groundwater flow and Darcy velocity, the specific steps include:

[0038] S1-1. According to the study area, determine the definite solution conditions of the groundwater flow problem to be simulated, set the scale of the coarse unit, and divide the study area into a grid to obtain a coarse grid unit. The nodes on the divided grid are coarse scale node.

[0039] S1-2. Set the scale of the fine unit, perform grid division for each coarse grid unit, and obtain the fine grid unit, and the nodes on the subdivided grid are the fine-scale nodes on the coarse grid unit.

[0040] S1-3. Under the subdivision of S1-1, according to the direction of the interface, the Jump function is constructed by applying the law of refraction; under the su...

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Abstract

The invention discloses a multi-scale finite element method-regional decomposition combination method for simulating groundwater flow and Darcy velocity. The method comprises the following steps: determining definite solution conditions of a groundwater flow problem, setting coarse and fine unit scales, and subdividing a research area; performing variational operation by using a Galerkin theory; solving a water head by applying a multi-scale finite element method; dividing a research region into single-medium sub-regions by using a region decomposition method, and decomposing an underground water Darcy velocity problem into sub-problems on the sub-regions; selecting a sub-problem, applying a Galerkin theory variation and combinding a multi-scale finite element method and a Galerkin method to obtain the Darcy velocity; acquiring the Darcy velocities of the sub-regions and the other side of the medium interface of the adjacent sub-regions by the refraction law as definite solution conditions of the adjacent sub-problems; and selecting the next sub-problem to solve. The groundwater flow and the Darcy velocity can be efficiently and accurately obtained, and the Darcy velocity can be ensured to accord with the refraction law at the groundwater medium interface, so that the invention of groundwater numerical simulation is enriched.

Description

technical field [0001] The invention belongs to the technical field of hydraulics, in particular to a multi-scale finite element method-area decomposition combination method for simulating groundwater flow and Darcy velocity. Background technique [0002] Groundwater numerical simulation is an important means to rationally develop groundwater resources, quantitatively analyze groundwater resources and environmental change trends, and prevent and control groundwater pollution. Accurate estimation of groundwater head and Darcy velocity can effectively describe the distribution and movement of groundwater, which is of great significance to the research and practice of groundwater problems. [0003] Natural aquifers are often composed of a variety of different media. Traditional methods are difficult to describe the Darcy velocity at the physical interface of different media, and cannot obtain a solution that conforms to the law of refraction, that is, the tangential Darcy veloc...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/23G06F111/10
CPCG06F30/23G06F2111/10
Inventor 谢一凡谢镇泽王益鲁春辉徐腾叶逾南统超井淼
Owner HOHAI UNIV
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