Direct Conservative Domain in the Continuous Galerkin Method for Groundwater Models

Qiang Wu, Yingwang Zhao, Yu-Feng Lin, Hua Xu, Hanxiong Zhang

Research output: Contribution to journalArticle

Abstract

The continuous Galerkin finite element method is commonly considered locally nonconservative because a single element with fluxes computed directly from its potential distribution is unable to conserve its mass and fluxes across edges that are discontinuous. Some literature sources have demonstrated that the continuous Galerkin method can be locally conservative with postprocessed fluxes. This paper proposes the concept of a direct conservative domain (DCD), which could conserve mass when fluxes are computed directly from the potential distribution. Also presented here is a method for modifying the advection fluxes to obtain different conservative domains from the DCDs. Furthermore, DCDs are used to analyze the local conservation of several postprocessing algorithms, for which DCDs provide the theoretical basis. The local conservation of DCDs and the proposed method are illustrated and verified by using a hypothetical 2-D model.

Original languageEnglish (US)
Pages (from-to)491-500
Number of pages10
JournalGroundWater
Volume56
Issue number3
DOIs
StatePublished - May 1 2018

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Galerkin method
Galerkin methods
Groundwater
Fluxes
groundwater
finite element method
Conservation
advection
Advection
Mass transfer
Finite element method
distribution
method

ASJC Scopus subject areas

  • Water Science and Technology
  • Computers in Earth Sciences

Cite this

Direct Conservative Domain in the Continuous Galerkin Method for Groundwater Models. / Wu, Qiang; Zhao, Yingwang; Lin, Yu-Feng; Xu, Hua; Zhang, Hanxiong.

In: GroundWater, Vol. 56, No. 3, 01.05.2018, p. 491-500.

Research output: Contribution to journalArticle

Wu, Qiang ; Zhao, Yingwang ; Lin, Yu-Feng ; Xu, Hua ; Zhang, Hanxiong. / Direct Conservative Domain in the Continuous Galerkin Method for Groundwater Models. In: GroundWater. 2018 ; Vol. 56, No. 3. pp. 491-500.
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