Transport in Porous Media

, Volume 43, Issue 1, pp 65–86

On the Reliability of Numerical Solutions of Brine Transport in Groundwater: Analysis of Infiltration from a Salt Lake

  • Annamaria Mazzia
  • Luca Bergamaschi
  • Mario Putti
Article

DOI: 10.1023/A:1010665609617

Cite this article as:
Mazzia, A., Bergamaschi, L. & Putti, M. Transport in Porous Media (2001) 43: 65. doi:10.1023/A:1010665609617

Abstract

The density dependent flow and transport problem in groundwater is solved numerically by means of a mixed finite element scheme for the flow equation and a mixed finite element-finite volume time-splitting based technique for the transport equation. The proposed approach, spatially second order accurate, is used to address the issue of grid convergence by solving on successively refined grids the salt lake problem, a physically unstable downward convection with formation of fingers. Numerical results indicate that achievement of grid convergence is problematic due to ill-conditioning arising from the strong nonlinearities of the mathematical model.

mixed finite elementsfinite volumesoperator splittingbrine transport

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Annamaria Mazzia
    • 1
  • Luca Bergamaschi
    • 1
  • Mario Putti
    • 1
  1. 1.Department of Mathematical Methods and Models for Scientific ApplicationsUniversity of PaduaItaly