A three-dimensional forward particle tracking Eulerian Lagrangian localized adjoint method for solution of the contaminant transport equation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The contaminant transport equation is solved in three dimensions using the Eulerian Lagrangian Localized Adjoint Method (ELLAM). Trilinear and finite volume test functions defined by the characteristics of the governing equation are employed and compared. Integrations are simplified by using forward tracking of integration points and the resultant equations are solved using a preconditioned conjugate gradient method. The algorithm is coupled to a block-centered finite difference approximation of the groundwater flow equation similar to that used in the popular MODFLOW code. The ELLAM is tested using a one-dimensional analytical solution and in the simulation of contaminant transport in a three-dimensional variable velocity field. The linear test function ELLAM was found to be superior to the finite volume ELLAM. Both ELLAM formulations were found to be robust, computationally efficient and relatively straight-forward to implement. When compared to traditional particle tracking and characteristics codes commonly used in MODFLOW, the ELLAM retains the computational advantages of traditional characteristic methods with the added advantage of good mass conservation.

Original languageEnglish (US)
Title of host publicationComputational methods in water resources - Volume 2 - Computational methods,surface water systems and hydrology
EditorsL.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder, L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder
PublisherA.A.Balkema
Pages611-618
Number of pages8
ISBN (Print)9058091252
StatePublished - Jan 1 2000
Externally publishedYes
EventComputational Methods in Water Resources - Calgary, Canada
Duration: Jun 25 2000Jun 29 2000

Other

OtherComputational Methods in Water Resources
CountryCanada
CityCalgary
Period6/25/006/29/00

All Science Journal Classification (ASJC) codes

  • Earth and Planetary Sciences(all)
  • Engineering(all)
  • Environmental Science(all)

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    Binning, P., & Celia, M. A. (2000). A three-dimensional forward particle tracking Eulerian Lagrangian localized adjoint method for solution of the contaminant transport equation. In L. R. Bentley, J. F. Sykes, C. A. Brebbia, W. G. Gray, G. F. Pinder, L. R. Bentley, J. F. Sykes, C. A. Brebbia, W. G. Gray, & G. F. Pinder (Eds.), Computational methods in water resources - Volume 2 - Computational methods,surface water systems and hydrology (pp. 611-618). A.A.Balkema.