TECHNICAL PAPERS
Oct 14, 2011

MPS-Based Mesh-Free Particle Method for Modeling Open-Channel Flows

Publication: Journal of Hydraulic Engineering
Volume 137, Issue 11

Abstract

Dealing with large deformation and fragmentation of geometries and interfaces (e.g., free surfaces), the regular mesh-based Eulerian methods, such as finite-element and finite-difference methods, have difficulties in fluid-flow modeling. Recently, studies have focused on a new generation of numerical methods called mesh-free particle (Lagrangian) methods. In this study, a mesh-free particle method based on the moving-particle semi-implicit (MPS) particle-interaction model has been developed for simulation of open-channel flow. The model is able to simulate viscous fluid flow with large deformation and fragmentation of free surface in practical fields. Moreover, the model is capable of modeling open-channel problems with both inflow and outflow and inconstant numbers of particles. The model has been validated and applied to some common sample problems. The results show the reasonable accuracy of the model. The final model is capable of modeling free-surface deformation and fragmentation as well as accurate calculation of velocities in open channels.

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Acknowledgments

This research was supported in part by the Natural Sciences and Engineering Research Council of CanadaNSERC.

References

Alfrink, B. J., and van Rijn, L. C. (1983). “Two-equation turbulence model for flow in trenches.” J. Hydraul. Eng., 109(7), 941–958.
Batchelor, G. K. (1967). An introduction to fluid dynamics, Cambridge Univ. Press, Cambridge, UK.
Bukreev, V. I. (2001). “Undular jump in open channel flow over a sill.” J. Appl. Mech. Tech. Phys., 42(4), 596–602.
Courant, R., Friedrichs, K., and Lewy, H. (1967). “On the partial difference equations of mathematical physics.” IBM J. Res. Dev., 11(2), 215–234 (English translation of the 1928 German original).
Crespo, A. J. C., Gómez-Gesteira, M., and Dalrymple, R. A. (2008). “Modeling dam break behavior over a wet bed by a SPH technique.” J. Waterway, Port, Coastal, Ocean Eng., 134(6), 313–320.
Dalrymple, R. A., and Rogers, B. D. (2006). “Numerical modeling of water waves with the SPH method.” Coastal Eng., 53(2–3), 141–147.
Gingold, R. A., and Monaghan, J. J. (1977). “Smoothed particle hydrodynamics: Theory and application to non-spherical stars.” Mon. Not. R. Astron. Soc., 181, 375–389.
Gotoh, H., Ikara, H., Memita, T., and Sakai, T. (2005). “Lagrangian particle method for simulation of wave overtopping seawall.” Coast. Eng. J., 47(2–3), 157–181.
Gotoh, H., and Sakai, T. (2006). “Key issues in the particle method for computation of wave breaking.” Coastal Eng., 53(2–3), 171–179.
Gotoh, H., Shibahara, T., and Sakai, T. (2001). “Sub-particle-scale turbulence model for the MPS method—Lagrangian flow model for hydraulic engineering.” Comput. Fluid Dyn. J., 9(4), 339–347.
Harlow, F. H., Ellison, M. A., and Reid, J. H. (1964). “The particle-in-cell computing method for fluid dynamics.” Methods Comput. Phys., 3(3), 319–343.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys., 39(1), 201–225.
Janosi, I. M., Jan, D., Szabo, K. G., and Tel, T. (2004). “Turbulent drag reduction in dam-break flows.” Exp. Fluids, 37(2), 219–229.
Khayyer, A., and Gotoh, H. (2009). “Modified moving particle semi-implicit methos for the prediction of 2D wave impact pressure.” Coastal Eng., 56(4), 419–449.
Koshizuka, S., Nobe, A., and Oka, Y. (1998). “Numerical analysis of breaking waves using the moving particle semi-implicit method.” Int. J. Numer. Methods Fluids, 26(7), 751–769.
Koshizuka, S., and Oka, Y. (1996). “Moving-particle semi-implicit method for fragmentation of incompressible fluid.” Nucl. Sci. Eng., 123(3), 421–434.
Koshizuka, S., Tamako, H., and Oka, Y. (1995). “A particle method for incompressible viscous flow with fluid fragmentation.” Comput. Fluid Dyn. J., 4(1), 29–46.
Lee, E.-S., Moulinec, C., Xu, R., Violeau, D., Laurence, D., and Stansby, P. (2008). “Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method.” J. Comput. Phys., 227(18), 8417–8436.
Liu, G. R., and Liu, M. B. (2003). Smoothed particle hydrodynamics: A meshfree particle method, World Scientific, Singapore.
Liu, J., Koshizuka, S., and Oka, Y. (2005). “A hybrid particle-mesh method for viscous, incompressible, multiphase flows.” J. Comput. Phys., 202(1), 65–93.
Lucy, L. B. (1977). “Numerical approach to testing the fission hypothesis.” Astron. J., 82(12), 1013–1024.
Monaghan, J. J. (1994). “Simulating free surface flows with SPH.” J. Comput. Phys., 110(2), 399–406.
Morris, J. P., Fox, P. J., and Zhu, Y. (1997). “Modeling low Reynolds number incompressible flows using SPH.” J. Comput. Phys., 136(1), 214–226.
Shakibaeinia, A., and Jin, Y. C. (2009). “Lagrangian modeling of flow over spillways using moving particle semi-implicit method.” Proc., 33rd IAHR Congress, International Association for Hydraulic Research, Vancouver, Canada, 1809–1816.
Shakibaeinia, A., and Jin, Y. C. (2010). “A weakly compressible MPS method for simulation open-boundary free-surface flow.” Int. J. Numer. Methods Fluids, 63(10), 1208–1232.
Sigalotti, L. D., Klapp, J., Sira, E., Meleán, Y., and Hasmy, A. (2003). “SPH simulations of time-dependent Poiseuille flow at low Reynolds numbers.” J. Comput. Phys., 191(2), 622–638.
Stansby, P. K., Chegini, A., and Barnes, T. C. (1998). “The initial stages of dam-break flow.” J. Fluid Mech., 374, 407–424.
Yoon, H. Y., Koshizuka, S., and Oka, Y. (1999). “A particle-gridless hybrid method for incompressible flows.” Int. J. Numer. Methods Fluids, 30(4), 407–424.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 137Issue 11November 2011
Pages: 1375 - 1384

History

Received: Mar 11, 2009
Accepted: Jan 18, 2011
Published online: Oct 14, 2011
Published in print: Nov 1, 2011

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Authors

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Ahmad Shakibaeinia, S.M.ASCE [email protected]
Ph.D. Candidate, Faculty of Engineering, Univ. of Regina, 3737 Wascana Pky., Regina, SK, Canada S4S 0A2. E-mail: [email protected]
Yee-Chung Jin [email protected]
Professor, Faculty of Engineering, Univ. of Regina, 3737 Wascana Pky., Regina, SK, Canada S4S 0A2 (corresponding author). E-mail: [email protected]

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