TECHNICAL PAPERS
Mar 1, 2002

Unified Modeling of Fluid or Granular Flows on Dam-Break Case

Publication: Journal of Hydraulic Engineering
Volume 128, Issue 3

Abstract

The stopping process of debris-flow pulses is a complex phenomenon that expresses both the characteristics of a non-Newtonian fluid when it flows and those of a soil when it comes to a stop. In order to capture this phenomenon, we have developed a model based on a Navier-Stokes approach with a constitutive law including a Drucker-Prager yield criterion. The latter permits us to continuously describe the passage of granular material from the flowing (viscous) to the stopped (viscoplastic) status. In addition to being easy to implement, this approach has the advantage of being straightforwardly expandable to full three-dimensional modeling. In order to evaluate this approach, we have implemented it using finite elements. This implementation uses a Galerkin finite-element approximation with a least-squares stabilization procedure. The free surface is treated by means of a level-set approach to cope with the complex geometry of a flowing pulse. The rheological model and the free-surface treatment are tested in an analytical problem and in a dam-break test.

Get full access to this article

View all available purchase options and get full access to this article.

References

Bagnold, R. A.(1954). “Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear.” Proc. R. Soc. London, Ser. A, 225, 49–63.
Bifan, Z. (1995). “Mechanism of initiation and movement of debris-flow.” International Sabo Symposium, Tokyo.
Brooks, A. N., and Hughes, T. J. R.(1982). “Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations.” Comput. Methods Appl. Mech. Eng., 32, 199–259.
Cao, J., Ahmadi, G., and Massoudi, M.(1996). “Gravity granular flows of slightly frictional particles down an inclined bumpy chute.” J. Fluid Mech., 316, 197–221.
Chen, C.-L.(1988). “Generalized viscoplastic modeling of debris flow.” J. Hydraul. Eng., 114(3), 237–258.
Chen, C.-L., and Ling, C. H.(1996). “Granular-flow rheology: Role of shear-rate number in transition regime.” J. Eng. Mech., 122(5), 469–480.
Chen, W. F. (1982). Plasticity in reinforced concrete, McGraw-Hill, New York, 278–280.
Drew, D. A. (1983). “Continuum modeling of two-phase flows.” Theory of dispersed multiphase flow: Proc. advanced seminar conducted by the Mathematics Research Center, Univ. of Wisconsin–Madison, Madison, Wis.
Drucker, D. C., and Prager, W.(1952). “Soil mechanics and plastic analysis or limit design.” Q. Appl. Math., 110, 157–165.
Dubois-Pélerin, Y., and Zimmermann, Th. (1992). Obect-oriented finite element programming. Theory and implementation for FEM_ObjectC++TM001, Elmepress International, Lausanne, Switzerland.
Enwald, H., Peirano, E., and Almstedt, A.-E.(1996). “Eulerian two-phase flow theory applied to fluidization.” Int. J. Multiphase Flow, 22(Suppl.), 21–66.
Eyheramendy, D., and Zimmermann, Th.(1998). “Object-oriented finite elements. III: Theory and application of automatic programming.” Comput. Methods Appl. Mech. Eng., 154, 41–68.
Eyheramendy, D., and Zimmermann, Th.(2001). “Object-oriented finite elements. IV: Symbolic derivations and automatic programming of nonlinear formulation.” Comput. Methods Appl. Mech. Eng., 190, 2729–2751.
Franca, L. P., and Frey, S. L.(1992). “Stabilized finite element methods. II: The incompressible Navier-Stokes equations.” Comput. Methods Appl. Mech. Eng., 99, 209–233.
Franca, L. P., and Hughes, T. J. R.(1987). “A new finite element formulation for computational fluid dynamics. VII: The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces.” Comput. Methods Appl. Mech. Eng., 65, 85–96.
Frenette, R., Zimmermann, Th., and Eyheramendy, D. (1998). “Debris-flows project report.” Internal Rep. LSC-DGC #98/9, Swiss Federal Institute of Technology, Lausanne, Switzerland.
Gao, D. M. (1991). “Modélisation numérique du remplissage des moules de fonderie par la méthode des éléments finis.” PhD thesis, Univ. de Technologie de Compiègne, Compiègne, France.
Garcia Aragon, J. A.(1995). “Granular-fluid chute flow: Experimental and numerical observations.” J. Hydraul. Eng., 121(4), 355–364.
Hutter, K., and Rajagopal, K. R.(1994). “On flows of granular materials.” Continuum Mech. Thermodyn., 6, 81–139.
Hutter, K., Svendsen, B., and Rickenmann, D.(1996). “Debris flow modeling: A review.” Continuum Mech. Thermodyn., 8, 1–35.
Iverson, R. M., and LaHusen, R. G. (1993). “Friction in debris flows: inferences from large-scale flume experiments.” Proc., National Conf. on Hydraulic Engineering, ASCE, New York.
Martin, J. C., and Moyce, W. J.(1952). “An experimental study of the collapse of liquid columns on a rigid horizontal plane.” Philos. Trans. R. Soc. London, Ser. A, 244, 312–324.
Médale, M. (1994). “Modélisation numérique de l’étape de remplissage des moules de fonderie par la méthode des éléments finis.” PhD thesis, Univ. de Technologie de Compiègne, Compiègne, France.
O’Brien, J. S., Julien, P. Y., and Fullerton, W. T.(1993). “Two-dimensional water flood and mud-flow simulation.” J. Hydraul. Eng., 119(2), 244–261.
Savage, S. B.(1979). “Gravity flow of cohesionless granular materials in chutes and channels.” J. Fluid Mech., 92(1), 53–96.
Savage, S. B. (1983). “Granular flows down rough inclines—Review and extensions.” Mechanics of granular materials: New models and constitutive Relations, Elsevier, 261–282.
Savage, S. B., and Hutter, K.(1989). “The motion of a finite mass of granular material down a rough incline.” J. Fluid Mech., 199, 177–215.
Soo, S. L. (1990). Multiphase fluid dynamics. Gower Technical, Brookfield, Mass.
Sussman, M., Smerka, P., and Osher, S.(1994). “A level set approach for computing solutions to incompressible two-phase flow.” J. Comput. Phys., 114, 146–159.
Takahashi, T. (1991). Debris Flow. IAHR Monograph, Balkema, Rotterdam, The Netherlands.
Tezduyar, T. E.(1992). “Stabilized finite element formulations for incompressible flow computation.” Adv. Appl. Mech., 28, 1–44.
ZSoil User Manual, (1985–2000). Elmepress International, Lausanne, Switzerland.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 128Issue 3March 2002
Pages: 299 - 305

History

Received: Nov 13, 2000
Accepted: Aug 23, 2001
Published online: Mar 1, 2002
Published in print: Mar 2002

Permissions

Request permissions for this article.

Authors

Affiliations

Richard Frenette
Civil Engineering Dept., Univ. of Ottawa, Ottawa, ON, Canada K1N 6N5.
Thomas Zimmermann
Laboratory of Structural and Continuum Mechanics, Swiss Federal Institute of Technology in Lausanne, CH-1015 Lausanne, Switzerland.
Dominique Eyheramendy
Equipe Modélisation et Calcul Scientifique, Univ. Claude Bernard Lyon, 69622 Villeurbanne Cedex, France.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share