## 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 language | English (US) |
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Title of host publication | Computational methods in water resources - Volume 2 - Computational methods,surface water systems and hydrology |

Editors | 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 |

Publisher | A.A. Balkema |

Pages | 611-618 |

Number of pages | 8 |

ISBN (Print) | 9058091252 |

State | Published - 2000 |

Externally published | Yes |

Event | Computational Methods in Water Resources - Calgary, Canada Duration: Jun 25 2000 → Jun 29 2000 |

### Other

Other | Computational Methods in Water Resources |
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Country/Territory | Canada |

City | Calgary |

Period | 6/25/00 → 6/29/00 |

## All Science Journal Classification (ASJC) codes

- General Earth and Planetary Sciences
- General Engineering
- General Environmental Science