长江科学院院报2024,Vol.41Issue(12):133-137,154,6.DOI:10.11988/ckyyb.20230742
数值流形法渗流分析中处理弱不连续界面的新方法
A New Method to Deal with Weak Discontinuous Interface in Seepage Analysis Based on Numerical Manifold Method
摘要
Abstract
The numerical manifold method is a promising numerical method which uses a dual coverage system con-sisting of both mathematical and physical coverages.It has the advantages of flexible handling of boundary prob-lems,efficient meshing and convenient improvement of approximation accuracy.Different from the traditional nu-merical manifold method which cuts the mathematical coverage to form the physical coverage according to the inter-face,a new weight function is constructed by using the refraction law in the manifold element to establish the local approximation based on the weak discontinuous physical coverage,and it is applied to the steady seepage problem.The accuracy and convenience of the method in solving discontinuous interface problems is demonstrated through the analysis of the calculation of typical seepage flow problems.关键词
数值流形法/渗流分析/非均质/材料界面/折射定律/弱不连续Key words
numerical manifold method/seepage analysis/heterogeneity/material interface/refraction law/weak discontinuous分类
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贾真,杨冬梅,郑宏..数值流形法渗流分析中处理弱不连续界面的新方法[J].长江科学院院报,2024,41(12):133-137,154,6.基金项目
国家自然科学基金项目(52130905,52079002) (52130905,52079002)