An improved numerical manifold method for solving heterogeneous seepage problem

ZHOU Ling-feng; WANG Yuan; FENG Di

doi:10.11779/CJGE202107014

Volume 43 Issue 7

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Chinese Journal of Geotechnical Engineering > 2021 > 43(7): 1288-1296. > DOI: 10.11779/CJGE202107014

ZHOU Ling-feng, WANG Yuan, FENG Di. An improved numerical manifold method for solving heterogeneous seepage problem[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(7): 1288-1296. DOI: 10.11779/CJGE202107014

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An improved numerical manifold method for solving heterogeneous seepage problem

ZHOU Ling-feng^1,,
WANG Yuan^{1, 2, ,},
FENG Di¹

1.
College of Civil and Transportation Engineering, Hohai University, Nanjing 210024, China
2.
College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China

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Received Date: September 16, 2020
Available Online: December 02, 2022

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Abstract

Abstract

An accurate velocity filed is important for simulating Darcy flow, solution transport and contaminant migration in heterogeneous porous media. Generally, the velocity results calculated by the conventional numerical methods have low precision and poor continuity. To overcome this defect, two improved weight functions are used to construct the global approximation on manifold elements and two improved NMM codes are developed to eliminate the linear dependence problems caused by the higher-order overburden functions, and the velocity/gradient solutions of node continuity and global continuity are obtained, respectively. Furthermore, the convergence and accuracy of the improved weight function NMM codes are analyzed through several examples.
- numerical manifold method,
- heterogeneity,
- Darcy velocity,
- weight function,
- high order

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References (21)

References

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