Analysis of unsteady pipe flow using the modified finite element method

Communications in Numerical Methods in Engineering

Volumn 21, Issue 4, 2005, Pages 183-199

  Szymkiewicz, Romuald ^a   Mitosek, Marek ^b  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Finite element method; Numerical diffusion; Pipe flow; Water hammer

Indexed keywords

DAMPING; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROCESS CONTROL; UNSTEADY FLOW; WATER HAMMER;

PRESSURE WAVES; UNSTEADY PIPE FLOW EQUATIONS; WATER HAMMER EQUATIONS; WATER HAMMER PHENOMENON;

PIPE FLOW;

FINITE ELEMENT ANALYSIS; PIPE FLOW; UNSTEADY FLOW;

EID: 16344382605     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.741     Document Type: Article

References (25)

1. Parmakian J. Water Hammer Analysis. Prentice-Hall, Inc: New York, 1955.
2. Streeter VL, Lai Ch. Water hammer analysis including fluid friction. Journal of Hydraulics Division (ASCE) 1962; 88(HY3):79-111.
3. Evangelisti G. Water hammer analysis by the method of characteristics. L'Energia Elettrica 1969; 46(10): 673-692.
4. Almeida AB, Koelle E. Fluid Transients in Pipe Networks. Elsevier Applied Science: London, 1992.
5. Goldberg DE, Wylie EB. Characteristics method using time-line interpolations. Journal of Hydraulic Engineering (ASCE) 1983; 109(5):670-683.
6. Wylie EB, Streeter VL. Fluid Transient in Systems. Prentice-Hall, Inc.: Englewood Cliffs, New York, 1993.
7. Abbott MB, Basco DR. Computational Fluid Dynamics. Longman Scientific and Technical: Essex, UK, 1989.
8. Sibetheros IA, Holley ER, Branski JM. Spline interpolation for water hammer analysis. Journal of Hydraulic Engineering (ASCE) 1991; 117(10):1332-1351.
9. Chaudhry MH, Hussaini MY. Second order accurate explicit finite-difference schemes for water hammer analysis. Journal of Fluid Engineering 1985; 107(4):523-529.
10. Fletcher CA. Computational Techniques for Fluid Mechanics, vol. 1. Springer: Berlin, Germany, 1991.
11. Leonard BP, Drummond JE. Why you should not use 'hybrid', 'power-law' or related exponential schemes for convective modelling-there are much better alternatives. International Journal for Numerical Methods in Fluids 1995; 20:421-442.
12. Szymkiewicz R. Method to solve 1D unsteady transport and flow equations. Journal of Hydraulics Engineering (ASCE) 1995; 121 (5):396-403.
13. Warming RF, Hyett BJ. The modified equation approach to the stability and accuracy analysis of finite-difference methods. Journal of Computational Physics 1974; 14:159-179.
14. Zienkiewicz OC. The Finite Element Method in Engineering Science. McGraw-Hill: London, 1972.
15. Potter D. Computational Physics. Wiley: London, 1973.
16. Bergant A, Simpson AR. Pipeline column separation flow regime. Journal of Hydraulic Engineering (ASCE) 1999; 125(8):835-848.
17. Mitosek M. Study of cavitation due to water hammer in plastic pipes. Plastics, Rubber Composites Processing and Application 1997; 26(7):324-329.
18. Mitosek M. Study of transient vapour cavitation in series pipe systems. Journal of Hydraulic Engineering (ASCE) 2000; 126 (12):904-911.
19. Axworthy DH Ghidaoui MS, McInnis DA. Extended thermodynamics derivation of energy dissipation in unsteady pipe flow. Journal of Hydraulic Engineering (ASCE) 2000; 12(4):276-287.
20. Pezzinga G. Quasi-2D model for unsteady flow in pipe networks. Journal of Hydraulic Engineering (ASCE) 1999; 125(7):676-685.
21. Pezzinga G. Evaluation of unsteady flow resistances by quasi-2D or 1D models. Journal of Hydraulic Engineering (ASCE) 2000; 126 (10):778-785.
22. Zielke W. Frequency dependent friction in transient pipe flow. Journal of Basic Engineering (ASME) 1968; 90(1):109-115.
23. Elansary AS, Silva W, Chaudhry MH. Numerical and experimental investigation of transient pipe flow. Journal of Hydraulic Research 1994; 32(5):689-706.
24. Vardy AE, Hwang K. A characteristic model of transient friction. Journal of Hydraulic Research 1991; 229(5):669-684.
25. Brunone B, Golia UM, Greco M. Some remarks on the momentum equation for fast transients. Proceedings of the International Meeting on Hydraulic Transients and Water Column Separation. 9th Round Table, IAHR: Valencia, Spain, 1991; pp. 140-148.