Numerical methods for nonlinear flows in porous media

Michael Anthony Celia; E. T. Boutoulas; P. Binning

Numerical methods for nonlinear flows in porous media

Michael Anthony Celia, E. T. Boutoulas, P. Binning

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper addresses some of the important numerical issues by looking at the model single-equation representation of unsaturated flow, the Richards equation. Numerical methods are presented that produce superior results over a wide range of soil conditions. These techniques are used to demonstrate what is called the hierarchical philosophy of modeling flow and transport in porous media. An example of infiltration into an initially very dry soil, followed by redistribution, is used to demonstrate this philosophy. Extension of these concepts to the fully multiphase case is also discussed.

Original language	English (US)
Title of host publication	Computational Methods in Subsurface Hydrology
Editors	G. Gambolati, A. Rinaldo, C.A. Brebbia, W.G. Gray, G.F. Pinder
Publisher	Publ by Springer-Verlag Berlin
Pages	145-150
Number of pages	6
ISBN (Print)	038752701X
State	Published - 1990
Event	Proceedings of the 8th International Conference on Computational Methods in Water Resources - Venice, Italy Duration: Jun 11 1990 → Jun 15 1990

Publication series

Name	Computational Methods in Subsurface Hydrology

Other

Other	Proceedings of the 8th International Conference on Computational Methods in Water Resources
City	Venice, Italy
Period	6/11/90 → 6/15/90

All Science Journal Classification (ASJC) codes

General Engineering

Cite this

@inproceedings{464417c3d6c545708b59078fac92e676,

title = "Numerical methods for nonlinear flows in porous media",

abstract = "This paper addresses some of the important numerical issues by looking at the model single-equation representation of unsaturated flow, the Richards equation. Numerical methods are presented that produce superior results over a wide range of soil conditions. These techniques are used to demonstrate what is called the hierarchical philosophy of modeling flow and transport in porous media. An example of infiltration into an initially very dry soil, followed by redistribution, is used to demonstrate this philosophy. Extension of these concepts to the fully multiphase case is also discussed.",

author = "Celia, {Michael Anthony} and Boutoulas, {E. T.} and P. Binning",

year = "1990",

language = "English (US)",

isbn = "038752701X",

series = "Computational Methods in Subsurface Hydrology",

publisher = "Publ by Springer-Verlag Berlin",

pages = "145--150",

editor = "G. Gambolati and A. Rinaldo and C.A. Brebbia and W.G. Gray and G.F. Pinder",

booktitle = "Computational Methods in Subsurface Hydrology",

note = "Proceedings of the 8th International Conference on Computational Methods in Water Resources ; Conference date: 11-06-1990 Through 15-06-1990",

}

Celia, MA, Boutoulas, ET & Binning, P 1990, Numerical methods for nonlinear flows in porous media. in G Gambolati, A Rinaldo, CA Brebbia, WG Gray & GF Pinder (eds), Computational Methods in Subsurface Hydrology. Computational Methods in Subsurface Hydrology, Publ by Springer-Verlag Berlin, pp. 145-150, Proceedings of the 8th International Conference on Computational Methods in Water Resources, Venice, Italy, 6/11/90.

Numerical methods for nonlinear flows in porous media. / Celia, Michael Anthony; Boutoulas, E. T.; Binning, P.
Computational Methods in Subsurface Hydrology. ed. / G. Gambolati; A. Rinaldo; C.A. Brebbia; W.G. Gray; G.F. Pinder. Publ by Springer-Verlag Berlin, 1990. p. 145-150 (Computational Methods in Subsurface Hydrology).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Numerical methods for nonlinear flows in porous media

AU - Celia, Michael Anthony

AU - Boutoulas, E. T.

AU - Binning, P.

PY - 1990

Y1 - 1990

N2 - This paper addresses some of the important numerical issues by looking at the model single-equation representation of unsaturated flow, the Richards equation. Numerical methods are presented that produce superior results over a wide range of soil conditions. These techniques are used to demonstrate what is called the hierarchical philosophy of modeling flow and transport in porous media. An example of infiltration into an initially very dry soil, followed by redistribution, is used to demonstrate this philosophy. Extension of these concepts to the fully multiphase case is also discussed.

AB - This paper addresses some of the important numerical issues by looking at the model single-equation representation of unsaturated flow, the Richards equation. Numerical methods are presented that produce superior results over a wide range of soil conditions. These techniques are used to demonstrate what is called the hierarchical philosophy of modeling flow and transport in porous media. An example of infiltration into an initially very dry soil, followed by redistribution, is used to demonstrate this philosophy. Extension of these concepts to the fully multiphase case is also discussed.

UR - http://www.scopus.com/inward/record.url?scp=0025531182&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025531182&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0025531182

SN - 038752701X

T3 - Computational Methods in Subsurface Hydrology

SP - 145

EP - 150

BT - Computational Methods in Subsurface Hydrology

A2 - Gambolati, G.

A2 - Rinaldo, A.

A2 - Brebbia, C.A.

A2 - Gray, W.G.

A2 - Pinder, G.F.

PB - Publ by Springer-Verlag Berlin

T2 - Proceedings of the 8th International Conference on Computational Methods in Water Resources

Y2 - 11 June 1990 through 15 June 1990

ER -

Numerical methods for nonlinear flows in porous media

Abstract

Publication series

Other

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this