An Optimal Algorithm for Solving Seepage Free Surface Based on Radial Cardinal Point Interpolation Method

Abstract

The invention relates to a method for solving a free surface of seepage with a gridless method based on a radial base point interpolation method, comprising the following steps: 1) determining the control equation; 2) determining the boundary conditions; 3) determining the RPIM control equation: using RPIM to solve the partial differential Equation, the problem domain is discretized into a series of field nodes. In order to facilitate the integration and assembly of the overall stiffness matrix into the background grid, the integration points exist in the background grid, and each integration point must have a support domain, which can be used in the support domain The field node interpolation of the information on the integration point is obtained; 4) Solve the seepage free surface. The invention solves the seepage free surface conveniently, quickly and with high precision, can simplify the working process and better guide the engineering practice.

Description

An Optimal Algorithm for Solving Seepage Free Surface Based on Radial Base Point Interpolation technical field The present invention relates to the technical field of geotechnical engineering, be specifically related to a kind of based on radial base point interpolation method to solve seepage freedom face optimization algorithm. Background technique Seepage is an important cause of instability and failure of geotechnical structures, and the problem caused by seepage in dams is the most important. to stand out. ASCE / USCOLD counts 77 dams in the United States, and the results show that the dams damaged due to insufficient flood discharge capacity are large About 30%, in addition, 40% to 50% of the damage of dams is due to the erosion of pipes and materials inside embankments and foundations damage caused by earthquakes and other factors accounts for only a small part. Seepage is an important part of geotechnical structures Therefore, it is necessary to study the s...

AI Technical Summary

Problems solved by technology

But at this stage, the application of RPIM in geotechnical engineering is still in its infancy, and the theories in all aspects are not mature enough.

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