A mixed Lagrangian-Eulerian and finite element approach to modeling variably saturated flows in three dimensions

Gour Tsyh Yeh, Hua Shan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A robust, efficient numerical solution of variably saturated flows in three dimensions will be presented. The solution algorithm was developed by applying the mixed Lagrangian-Eulerian (LE) and Finite Element (FE) approach to Richard's equation. The Lagrangian-Eulerian approach with accurate and robust particle tracking algorithms has been considered a better resolution for sharp front problems. However, the implementation of the algorithm to the advective form of the Richards equation has encountered difficulties resulting from the flux boundary conditions. Therefore, it was decided to develop a mixed LE and FE approach to circumvent the problem. In this approach, LE method was applied to interior nodes and the FE method to incoming-flux-boundary nodes. The goal was to develop numerical tools that can efficiently analyze the flow behaviors in saturated/unsaturated porous media. Application of the hybrid approach to a test problem shows that it is more robust and efficient over the conventional finite element methods.

Original languageEnglish
Title of host publicationWorld Environmental and Water Resources Congress 2008
Subtitle of host publicationAhupua'a - Proceedings of the World Environmental and Water Resources Congress 2008
DOIs
StatePublished - 2008
EventWorld Environmental and Water Resources Congress 2008: Ahupua'a - Honolulu, HI, United States
Duration: 12 May 200816 May 2008

Publication series

NameWorld Environmental and Water Resources Congress 2008: Ahupua'a - Proceedings of the World Environmental and Water Resources Congress 2008
Volume316

Conference

ConferenceWorld Environmental and Water Resources Congress 2008: Ahupua'a
Country/TerritoryUnited States
CityHonolulu, HI
Period12/05/0816/05/08

Keywords

  • Finite element method
  • Groundwater management
  • Uranium

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