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A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation

Water Resources Research

By:
and
DOI: 10.1029/93WR00403

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Abstract

Test results demonstrate that the finite-volume Eulerian-Lagrangian localized adjoint method (FVELLAM) outperforms standard finite-difference methods for solute transport problems that are dominated by advection. FVELLAM systematically conserves mass globally with all types of boundary conditions. Integrated finite differences, instead of finite elements, are used to approximate the governing equation. This approach, in conjunction with a forward tracking scheme, greatly facilitates mass conservation. The mass storage integral is numerically evaluated at the current time level, and quadrature points are then tracked forward in time to the next level. Forward tracking permits straightforward treatment of inflow boundaries, thus avoiding the inherent problem in backtracking of characteristic lines intersecting inflow boundaries. FVELLAM extends previous results by obtaining mass conservation locally on Lagrangian space-time elements. -from Authors

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation
Series title:
Water Resources Research
DOI:
10.1029/93WR00403
Volume
29
Issue:
7
Year Published:
1993
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Water Resources Research
First page:
2399
Last page:
2413
Number of Pages:
15