Eulerian-Lagrangian Methods for Advection-Dispersion

S. P. Neumann; S. Sorek

doi:10.1007/978-3-662-02348-8_71

Eulerian-Lagrangian Methods for Advection-Dispersion

S. P. Neumann, S. Sorek

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Three different Eulerian-Lagrangian schemes are used to solve the one-dimensional advection/dispersion equation. Advection is formally decoupled from dispersion, and the resulting advection problem is solved by a novel approach called the method of revere streaklines, and by the more conventional method of continuous particle tracking. Dispersion is handled by implicit finite elements on a fixed grid, using linear and quadratic basis functions. The results are compared with a third Eulerian-Langrangian method in which the concentration function remains undecomposed. Preliminary results suggest that the first two methods may, after further improvement, work well for a wide range of Peclet numbers. (from authors' abstract)

Original language	English
Title of host publication	Finite Elements in Water Resources
Subtitle of host publication	Proceedings of the 4th International Conference, Hannover, Germany, June 1982
Editors	K. P. Holz, U. Meissner, W. Zielke
Publisher	Springer Berlin
Pages	849–876
ISBN (Electronic)	9783662023488
ISBN (Print)	9783662023501, 9780905451091
DOIs	https://doi.org/10.1007/978-3-662-02348-8_71
State	Published - Jun 1982
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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title = "Eulerian-Lagrangian Methods for Advection-Dispersion",

abstract = "Three different Eulerian-Lagrangian schemes are used to solve the one-dimensional advection/dispersion equation. Advection is formally decoupled from dispersion, and the resulting advection problem is solved by a novel approach called the method of revere streaklines, and by the more conventional method of continuous particle tracking. Dispersion is handled by implicit finite elements on a fixed grid, using linear and quadratic basis functions. The results are compared with a third Eulerian-Langrangian method in which the concentration function remains undecomposed. Preliminary results suggest that the first two methods may, after further improvement, work well for a wide range of Peclet numbers. (from authors' abstract)",

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year = "1982",

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TY - CHAP

T1 - Eulerian-Lagrangian Methods for Advection-Dispersion

AU - Neumann, S. P.

AU - Sorek, S.

PY - 1982/6

Y1 - 1982/6

N2 - Three different Eulerian-Lagrangian schemes are used to solve the one-dimensional advection/dispersion equation. Advection is formally decoupled from dispersion, and the resulting advection problem is solved by a novel approach called the method of revere streaklines, and by the more conventional method of continuous particle tracking. Dispersion is handled by implicit finite elements on a fixed grid, using linear and quadratic basis functions. The results are compared with a third Eulerian-Langrangian method in which the concentration function remains undecomposed. Preliminary results suggest that the first two methods may, after further improvement, work well for a wide range of Peclet numbers. (from authors' abstract)

AB - Three different Eulerian-Lagrangian schemes are used to solve the one-dimensional advection/dispersion equation. Advection is formally decoupled from dispersion, and the resulting advection problem is solved by a novel approach called the method of revere streaklines, and by the more conventional method of continuous particle tracking. Dispersion is handled by implicit finite elements on a fixed grid, using linear and quadratic basis functions. The results are compared with a third Eulerian-Langrangian method in which the concentration function remains undecomposed. Preliminary results suggest that the first two methods may, after further improvement, work well for a wide range of Peclet numbers. (from authors' abstract)

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U2 - 10.1007/978-3-662-02348-8_71

DO - 10.1007/978-3-662-02348-8_71

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SN - 9783662023501

SN - 9780905451091

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EP - 876

BT - Finite Elements in Water Resources

A2 - Holz, K. P.

A2 - Meissner, U.

A2 - Zielke, W.

PB - Springer Berlin

ER -

Eulerian-Lagrangian Methods for Advection-Dispersion

Abstract

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