Numerical simulation of shallow-water dam break flows in open channels using smoothed particle hydrodynamics

Journal of Hydrology

Volumn 408, Issue 1-2, 2011, Pages 78-90

  Chang, Tsang Jung ^a   Kao, Hong Ming ^a   Chang, Kao Hua ^a   Hsu, Ming Hsi ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Dam break flows; Nonprismatic open channels; Shallow water equations; Smoothed particle hydrodynamics

Indexed keywords

ACCURATE PERFORMANCE; BENCH-MARK PROBLEMS; CONTRACTION FLOW; DAM-BREAK FLOW; DOWNSTREAM BOUNDARY; FIELD DATA; FLAT CHANNELS; ITS EFFICIENCIES; MESHLESS; MULTIPLE WAVE INTERACTION; NON-PRISMATIC; NUMERICAL MODELS; NUMERICAL SENSITIVITY; NUMERICAL TREATMENTS; OPEN CHANNELS; OVERTOPPING FLOW; PARTIAL REFLECTION; REVERSE FLOW; SCALE MODELS; SHALLOW WATER EQUATIONS; SHALLOW-WATER; SHOCK FRONTS; SIMULATED RESULTS; SMOOTHED PARTICLE HYDRODYNAMICS; SUPER-CRITICAL; WATER PARTICLES;

COMPUTER SIMULATION; DAMS; EQUATIONS OF MOTION; HYDRODYNAMICS; MATHEMATICAL MODELS; NUMERICAL METHODS; SENSITIVITY ANALYSIS;

OPEN CHANNEL FLOW;

BENCHMARKING; CHANNEL HYDRAULICS; HYDRODYNAMICS; LABORATORY METHOD; NUMERICAL MODEL; ONE-DIMENSIONAL MODELING; OPEN CHANNEL FLOW; SHALLOW WATER;

EID: 80052818415     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2011.07.023     Document Type: Article

References (51)

1. Ata R., Soulaimani A. A stabilized SPH method for inviscid shallow water flows. Int. J. Numer. Methods Fluids 2005, 47(2):139-159.
2. Berger R.C., Stockstill R.L. Finite-element model for high-velocity channels. J. Hydraul. Eng. ASCE 1995, 121(10):710-716.
3. Bermudez A., Vazquez M.E. Upwind methods for hyperbolic conservation laws with source terms. Comput. Fluids 1994, 14:1009-1018.
4. Bradford S.F., Sanders B.F. Finite-volume model for shallow-water flooding of arbitrary topography. J. Hydraul. Eng. ASCE 2002, 128(3):289-298.
5. Burguete J., Garcia-Navarro P. Efficient construction of high-resolution TVD conservative schemes for equations with source terms: application to shallow water flows. Int. J. Numer. Methods Fluids 2001, 37:209-248.
6. Catella M., Paris E., Solari L. Conservative scheme for numerical modeling of flow in natural geometry. J. Hydraul. Eng. ASCE 2008, 134(6):736-748.
7. Chang T.J., Hsu M.H., Teng W.S., Huang C.J. A GIS-assisted distributed watershed model for simulating flooding and inundation. J. Am. Water Resour. Assoc. 2000, 36(5):975-988.
8. Chaudhry M.H. Open-Channel Flow 1993, Prentice-Hall Inc., New Jersey.
9. Chen A.S., Hsu M.H., Chen T.S., Chang T.J. An integrated inundation model for highly developed urban areas. Water Sci. Technol. 2005, 51(2):221-229.
10. Crespo A.J.C., Gomez-Gesteira M., Dalrymple R.A. SPHysics-FUNWAVE hybrid model for coastal wave propagation. J. Hydraul. Res. 2010, 48:85-93.
11. Cunge J.A., Holly F.M., Verwey A. Practical Aspects of Computational River Hydraulics 1980, Pitman Publishers Ltd., London.
12. De Leffe M., Le Touze D., Alessandrini B. SPH modeling of shallow-water coastal flows. J. Hydraul. Res. 2010, 48:118-125.
13. Fread, D.L., 1993. In: Maidment, D.R. (Ed.), Flow Routing in Handbook of Hydrology. McGraw-Hill Inc., New York, USA, pp. 10.1-10.36.
14. Garcia-Navarro P., Alcrudo F., Saviron J.M. 1D open-channel flow simulation using TVD-McCormack scheme. J. Hydraul. Eng. ASCE 1992, 118(10):1359-1372.
15. Guinot V., Delenne C., Cappelaere B. An approximate Riemann solver for sensitivity equations with discontinuous solutions. Adv. Water Resour. 2009, 32:61-77.
16. Harlow F.H. The particle-in-cell method for numerical solution of problems in fluid dynamics. Proc. Symp. Appl. Math. 1963, 15:269-288.
17. Hicks F.E., Steffler P.M. Characteristic dissipative Galerkin scheme for open channel flow. J. Hydraul. Eng. ASCE 1992, 118(2):337-352.
18. Hsu M.H., Chen S.H., Chang T.J. Inundation simulation for urban drainage basin with storm sewer system. J. Hydrol. 2000, 234:21-37.
19. Jin M., Fread D.L. Dynamic flood routing with explicit and implicit numerical solution schemes. J. Hydraul. Eng. ASCE 1997, 123(3):166-173.
20. Koshizuka S., Nobe A., Oka Y. Numerical analysis of breaking waves using the moving particle semi-implicit method. Int. J. Numer. Methods Fluids 1998, 26:751-769.
21. Lauber G., Hager W.H. Experiments to dambreak wave: horizontal channel. J. Hydraul. Res. 1998, 36(3):291-307.
22. LeVeque R.J. Numerical Methods for Conservational Laws 1992, Birkhauser Verlagl, Switzerland.
23. Liang D., Falconer R.A., Lin B. Comparison between TVD-MacCormack and ADI-type solvers of the shallow water equations. Adv. Water Resour. 2006, 29:1833-1845.
24. Lin G.F., Lai J.S., Guo W.D. Finite-volume component-wise TVD schemes for 2D shallow water equations. Adv. Water Resour. 2003, 26:861-873.
25. Liu G.R., Liu M.B. Smoothed Particle Hydrodynamics: A Meshfree Particle Method 2003, World Scientific Publishing Co. Pvt. Ltd., Singapore.
26. Liu G.R., Liu M.B. Smoothed particle hydrodynamics (SPH): an overview and recent developments. Arch. Comput. Methods Eng. 2010, 17:25-76.
27. Liu W.K., Jun S., Zhang Y.F. Reproducing kernel particle methods. Int. J. Numer. Methods Fluids 1995, 20:1081-1106.
28. Mingham C.G., Causon D.M. High-resolution finite-volume method for shallow water flows. J. Hydraul. Eng. ASCE 1998, 124(6):605-614.
29. Monaghan J.J. Particle methods for hydrodynamics. Comput. Phys. Rep. 1985, 3:71-124.
30. Monaghan J.J. Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 1992, 30:543-574.
31. Monaghan J.J. Simulating free surface flows with SPH. J. Comput. Phys. 1994, 110:399-406.
32. Morris, M., 2000. CADAM: Concerted Action on Dambreak Modeling - Final Report. Rep. SR 571. HR Wallingford.
33. Panizzo, A., Longo, D., Bellotti, G., De Girolamo, P., 2006. Tsunami early warning system. Part 3: SPH Modeling of Nlswe. In: Proc. of the XXXrd Convegno di Idraulica e Costruzioni Idrauliche, Rome, Italy.
34. Rebollo T.C., Delgado A.D., Nieto E.D.F. A family of stable numerical solvers for the shallow water equations with source terms. Comput. Methods Appl. Mech. Eng. 2003, 192:203-225.
35. Rodriguez-Paz M., Bonet J. A corrected smooth particle hydradynamics formulation of the shallow-water equations. Comput. Struct. 2005, 86:1396-1410.
36. Sanders B.F. High-resolution and non-oscillatory solution of the St. Venant equations in non-rectangular and non-prismatic channels. J. Hydraul. Res. 2001, 39(3):321-330.
37. Savic L.J., Holly F.M. Dambreak flood waves computed by modified Godunov method. J. Hydraul. Res. 1993, 31(2):187-204.
38. Shao S. Incompressible SPH simulation of wave breaking and overtopping with turbulence modeling. Int. J. Numer. Methods Fluids 2006, 50(5):597-621.
39. Shao S., Lo E.Y.M. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Adv. Water Resour. 2003, 26:787-800.
40. Soares Frazao, S., Testa, G., 1999. The Toce River test case: numerical results analysis. In: Proceedings of the 3rd CADAM Workshop, Milan, Italy.
41. Soares Frazao S., Zech Y. Dam break in channels with 90° bend. J. Hydraul. Eng. ASCE 2002, 128(11):956-968.
42. Stoker J.J. Water Waves: Mathematical Theory with Applications 1958, Wiley-Interscience, Singapore.
43. Tan L.W., Chu V.H. Lauber and Hager's dam-break wave data for numerical model validation. J. Hydraul. Res. 2009, 47(4):524-528.
44. Valiani A., Caleffi V., Zanni A. Case study: Malpasset dam-break simulation using a two-dimensional finite volume method. J. Hydraul. Eng. ASCE 2002, 128(5):460-472.
45. Wang Z., Shen H.T. Lagrangian simulation of one-dimensional dam-break flow. J. Hydraul. Eng. ASCE 1999, 125(11):1217-1220.
46. Wang J.S., Ni H.G., He Y.S. Finite-difference TVD scheme for computation of dam-break problems. J. Hydraul. Eng. ASCE 2000, 126(4):253-262.
47. Waterways Experiment Station, 1960. Floods Resulting from Suddenly Breached Dams. Miscellaneous Paper No. 2-374, Report 1, Conditions of Minimum Resistance. Army Corps of Engineers, Vicksburg, MS, USA.
48. Yim S.C., Yuk D., Panizzo A., Di Risio M., Liu P.L.F. Numerical Simulations of Wave Generation by a Vertical Plunger Using RANS and SPH Models. J. Waterw. Port Coast Ocean Eng 2008, 134(3):143-159.
49. Ying X., Khan A.A., Wang S.Y. Upwind conservative scheme for the Saint Venant equations. J. Hydraul. Eng. ASCE 2004, 130(10):977-987.
50. Zhao D.H., Shen H.W., Lai J.S., Tabios G.Q. Approximate Riemann solvers in FVM for 2D hydraulic shock wave modeling. J. Hydraul. Eng. ASCE 1996, 122(12):692-702.
51. Zhou J.G., Causon D.M., Mingham C.G., Ingram D.M. Numerical prediction of dam-break flows in general geometries with complex bed topography. J. Hydraul. Eng. ASCE 2004, 130(4):332-340.