A New Numerical Method for an Asymptotic Coupled Model of Fractured Media Aquifer System

Wei Liu, Jintao Cui, Zhifeng Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

An asymptotic model coupling three-dimensional and two-dimensional equations is considered to demonstrate the flow in fractured media aquifer system in this paper. The flow is governed by Darcy’s law both in fractures and surrounding porous media. A new anisotropic and nonconforming finite element is constructed to solve the three-dimensional Darcy equation. The existence and uniqueness of the coupled solutions are deduced. Optimal error estimates are obtained in L2 and H1 norms. Numerical experiments show the accuracy and efficiency of the presented method. With the same number of nodal points and the same amount of computational costs, the results obtained by using the new element are much better than those by both Q1 conforming element and Wilson nonconforming element on the same meshes.

Original languageEnglish
Article number9
JournalJournal of Scientific Computing
Volume82
Issue number1
DOIs
Publication statusPublished - 8 Jan 2020

Keywords

  • Asymptotic coupled model
  • Karst aquifers
  • Nonconforming finite element
  • Numerical analysis

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

Cite this