On the passivity of a Galerkin finite element model for transient flow in hydraulic pipelines

Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

Volumn 220, Issue 3, 2006, Pages 223-237

  Manhartsgruber, B ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Model passivity; Pipeline dynamics

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; GALERKIN METHODS; HYDRAULIC EQUIPMENT; TRANSFER FUNCTIONS; WATER PIPELINES;

APPROXIMATION ERROR; INTERLACING GRID; MODEL PASSIVITY; PIPELINE DYNAMICS;

LAMINAR FLOW;

EID: 34247136687     PISSN: 09596518     EISSN: None     Source Type: Journal    
DOI: 10.1243/09596518JSCE144     Document Type: Article

References (16)

1. D'Souza, A. F. and Oldenburger, R. Dynamic response of fluid lines. Trans. ASME, J. Basic Engng, 1964, 86, 589-598.
2. Streeter, V. L., Suo, L., and Wylie, E. B. Fluid transients in systems, 1993 (Prentice-Hall, Englewood Cliffs, New Jersey).
3. Zielke, W. Frequency-dependent friction in transient pipe flow. Trans. ASME, J. Basic Engng, 1968, 90(1), 109-115.
4. Suzuki, K., Taketomi, T., and Sato, S. Improving Zielke's method of simulating frequency dependent friction in laminar liquid pipe flow. Trans. ASME, J. Fluids Engng, 1991, 113(4), 569-573.
5. Manhartsgruber, B. Computationally efficient time domain modeling of fluid transmission lines. In Proceedings of the ASME Design Engineering Technical Conference, Pittsburgh, Pennsylvania, 9-12 September, 2001.
6. Hsue, C. Y. Y. and Hullender, D. A. Modal approximations for the fluid dynamics of hydraulic and pneumatic transmission lines. In Fluid transmission line dynamics (Eds M. E. Franke and T. M. Drzewiecki), 1983, pp. 51-77 (American Society of Mechanical Engineers, New York).
7. Mäkinen, J., Piche, R., and Ellman, A. Fluid transmission line modeling using a variational method. Trans. ASME, J. Dynamics Systems, Measmt, and Control, 2000, 122, 153-162.
8. Kojima, E., Shinada, M., and Yu, J. Development of accurate and practical simulation technique based on the modal approximations for fluid transients in compound fluid-line systems, 1st Report: establishment of fundamental calculation algorithm and basic considerations for verification of its availability. Int. J. Fluid Power, 2002, 3(2), 5-15.
9. Sanada, K., Richards, C. W., Longmore, D. K., and Johnston, D. N. A finite element model of hydraulic pipelines using an optimized interlacing grid systems. Proc. Instn Mech. Engrs, Part I: J. Systems and Control Engineering, 1993, 207(14), 213-222.
10. Shu, J. J., Burrows, C. R., and Edge, K. A. Pressure pulsations in reciprocating pump piping systems. Part 1: modelling. Proc. Inst Mech. Engrs, Part I: J. Systems and Control Engineering, 1997, 211(13), 229-237.
11. The Centre for Power Transmission and Motion Control, University of Bath, UK, The bath/reesim Model Reference Guide, 2001.
12. The Integration algorithms used in AMESim, Technical Bulletin 102. Imagine SA, Roanne, France, 2002.
13. Manhartsgruber, B. Passivity of fluid transmission line models. In Bath Workshop in Power transmission and motion control (PTMC 2004) (Eds C. R. Burrows, K. A. Edge, and D. N. Johnston), 2004, pp. 99-108 (Professional Engineering Publishing, Bury St Edmunds and London).
14. Harlow, F. H. and Welch, J. E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Physics of Fluids, 1965, 8, 2182.
15. Kagawa, T., Lee, I. Y., Kitagawa, A., and Takenaka, T. High speed and accurate computing method of frequency-dependent friction in laminar pipe flow for characteristics method. Trans. Jap. Soc. Mech. Engrs B, 1993, 49, 2638-2644.
16. Khalil, H. K. Nonlinear systems, 1996 (Prentice-Hall, Englewood Cliffs, New Jersey).