1D unified mathematical model for environmental flow applied to steady aerated mixed flows

Advances in Engineering Software

Volumn 42, Issue 9, 2011, Pages 660-670

  Kerger, F ^a,b   Erpicum, S ^a   Dewals, B J ^a,b   Archambeau, P ^a   Pirotton, M ^b  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b FUND FOR SCIENTIFIC RESEARCH   (Belgium)

Author keywords

Air entrainment; Civil engineering; Finite volume method; Homogeneous Equilibrium Model; Hydraulic engineering; Local Instant Formulation; Preissmann slot

Indexed keywords

AIR; AIR ENTRAINMENT; ANOXIC SEDIMENTS; CIVIL ENGINEERING; CONSTITUTIVE EQUATIONS; ENGINEERING RESEARCH; FINITE VOLUME METHOD; FLOW OF WATER; FLUID MECHANICS; HYDRAULIC MODELS; HYDRAULIC STRUCTURES; SEDIMENT TRANSPORT; SHORE PROTECTION; TWO PHASE FLOW;

FINITE VOLUME; HOMOGENEOUS EQUILIBRIUM MODELS; HYDRAULIC ENGINEERING; LOCAL INSTANT FORMULATION; PREISSMANN SLOT;

MATHEMATICAL MODELS;

EID: 80955177682     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advengsoft.2011.04.012     Document Type: Article

References (40)

1. Zhou F, Hicks FE, Steffler PM. Effects of trapped air during rapid filling of partially full pipes. In: Annual conference of the Canadian society for civil engineering; 2002.
2. F. Kerger Simulation numérique des écoulements mixtes hautement transitoire dans les conduites d'évacuation des eaux Houille Blanche-Rev Int 1 5 2009 159 167
3. F. Zhou, F.E. Hicks, and P.M. Steffler Transient flow in a rapidly filling horizontal pipe containing trapped air J Hydraul Eng 128 6 2002 625 634 (Pubitemid 34724749)
4. Q. Guo, and C. Song Dropshaft hydrodynamics under transient conditions J Hydraul Eng 117 8 1991 1042 1055 (Pubitemid 21680315)
5. J. Vasconcelos, and S. Wright Experimental investigation of surges in a stormwater storage tunnel J Hydraul Eng 131 10 2005 853 861 (Pubitemid 41419820)
6. J. Cardle, and C. Song Measurement of mixed transient flows J Hydraul Eng 115 2 1988 169 182
7. J. Li, and A. McCorquodale Modeling mixed flow in storm sewers J Hydraul Eng 125 11 1999 1170 1180 (Pubitemid 30049678)
8. Preissmann A. Propagation des intumescences dans les canaux et rivieres. In First congress of the French association for computation. Grenoble, France; 1961.
9. J. Vasconcelos, S. Wright, and P.L. Roe Improved simulation of flow regime transition in sewers: the two-component pressure approach J Hydraul Eng 132 6 2006 553 562 (Pubitemid 43733054)
10. C. Bourdarias, and S. Gerbi A finite volume scheme for a model coupling unsteady flows in open channels and in Pipelines J Comput Appl Math 209 1 2007 109 131 (Pubitemid 47285572)
11. C. Bourdarias, S. Gerbi, and M. Gisclon A kinetic formulation for a model coupling free surface and pressurized flows in closed pipes J Comput Appl Math 218 2 2008 522
12. C. Song, J. Cardle, and K.S. Leung Transient mixed-flow models for storm sewers J Hydraul Eng 109 11 1983 1487 1503
13. J.A. Cunge, F.M. Holly, and A. Verwey Practical aspects of computational river hydraulics. Monographs and surveys in water resources engineering 1980 Pitman Advanced Pub. Program Boston
14. M. Politano, A.J. Odgaard, and W. Klecan Numerical evaluation of hydraulic transients in a combined sewer overflow tunnel system J Hydraul Res 133 10 2007 1103 1110 (Pubitemid 47456366)
15. J.G. Vasconcelos, and S.J. Wright Investigation of rapid filling of poorly ventilated stormwater storage tunnels J Hydraul Res 47 5 2009 547 558
16. M. Ishii, and T. Hibiki Thermo-fluid dynamics of two-phase flow 1st ed. 2006 Springer Science USA p. 430
17. F. Kerger Modelling flows in environmental and civil engineering 2010 Nova Science Publishers New-York p. 155
18. T. Hibiki, and M. Ishii One-dimensional drift-flux model for two-phase flow in a large diameter pipe Int J Heat Mass Transfer 46 10 2003 1773 1790 (Pubitemid 36270374)
19. S. Clerc Numerical simulation of the homogeneous equilibrium model for two-phase flows J Comput Phys 161 2000 354 375
20. G.B. Wallis One-dimensional two-phase flow 2nd ed. 1969 McGraw-Hill New York p. 410
21. V. Guinot Godunov-type schemes: an introduction for engineers 2003 Elsevier Science BV Amsterdam p. 480
22. Dewals BJ, et al. Quasi 2D-numerical model of aerated flow over stepped chutes. In 30th IAHR congress. Greece; 2003.
23. C.E. Brennen Fundamentals of multiphase flows 2005 Cambridge University Press
24. Awad MM, Muzychka YS. Bounds on two-phase flow - part 1 - frictional pressure gradient in circular pipes. In ASME international mechanical engineering congress and exposition. Orlando, Florida; 2005.
25. W.H. McAdams, W.K. Woods, and L.C. Heroman ASME Int Develop Heat Transf Part II. Trans ASME 64 3 1942 193 200
26. R.W. Lockhart, and R.C. Martinelli Proposed correlation of data for isothermal two-phase, two-component flow in pipes Chem Eng Progress 45 1949 39 48
27. D. Chisholm Influence of pipe surface roughness on friction pressure gradient during two-phase flow J Mech Eng Sci 20 6 1978 353 354 (Pubitemid 9415983)
28. H. Müller-Steinhagen, and K. Heck A simple friction pressure drop correlation for two-phase flow in pipes Chem Eng Process 20 6 1986 297 308 (Pubitemid 17477912)
29. Keller U. Intermittent flow in hydraulic conduits. In: Versuchanstalt für Wasserbau, Hydrologie und Glaziologie der Eidgenössichen. Zürich: ETH Zürich; 2006. p. 250.
30. Wylie EB, Streeter VL. Fluid transients. Premire ed., M.-H. Inc; 1978. p. 385.
31. V. Guinot Numerical simulation of two-phase flow in pipes using Godunov method Int J Numer Methods Eng 50 5 2001 1169 1189 (Pubitemid 32258673)
32. F. Kerger Modelling transient air-water flows in civil and environmental engineering ArGEnCo 2010 University of Lige Lige 310
33. B.J. Dewals Depth-integrated flow modelling taking into account bottom curvature J Hydraul Res 44 6 2006 787 795
34. Leveque RJ. Finite volume methods for hyperbolic problems. Cambridge texts in applied mathematics. Cambridge University Press; 2002. p. 540.
35. C. Hirsch Numerical computation of internal and external flows - fundamentals of numerical discretization vol. 1 1988 Wiley Chichester p. 515
36. F. Kerger A fast universal solver for 1d continuous and discontinuous steady flows in rivers and pipes Int J Numer Methods Fluids 66 1 2011 38 48
37. A. Leon Application of Godunov-type schemes to transient mixed flows J Hydraul Res 47 2 2008
38. F. Kerger An exact Riemann solver and a Godunov scheme for simulating highly transient mixed flows J Comput Appl Math 235 8 2011 2030 2040
39. Mays L, editor. Stormwater collection systems design handbook. McGraw-Hill; 2001. p. 1008.
40. Erpicum S, et al. Experimental and numerical investigation of mixed flow in a Gallery. In: Multiphase flow V. New Forest: WIT Press; 2009.