Isentropic one-fluid modelling of unsteady cavitating flow

Journal of Computational Physics

Volumn 201, Issue 1, 2004, Pages 80-108

  Liu, T G ^a   Khoo, B C ^b   Xie, W F ^a  

^a INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Barotropic flow; Bulk cavitation; Cavitation collapse; Equation of state; Ghost fluid method; Homogeneous unsteady cavitating flow; One fluid modelling

Indexed keywords

CAVITATION; UNDERWATER EXPLOSIONS;

BAROTROPIC FLOWS; BULK CAVITATION; CAVITATING FLOW; CAVITATION COLLAPSE; EQUATION-OF-STATE; GHOST FLUID METHOD; HOMOGENEOUS UNSTEADY CAVITATING FLOW; ISENTROPIC; ONE-FLUID MODEL; UNSTEADY CAVITATING FLOWS;

EQUATIONS OF STATE;

EID: 13844275095     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.05.010     Document Type: Article

References (33)

1. Aanhold J.E. Meijer G.J. Lemmen P.P.M. Underwater shock response analysis on a floating vessel Shock Vibr 5 1998 53-59
2. Ahuja V. Hosangadi A. Arunajatesan S. Simulation of cavitation flows using hybrid unstructured meshes J. Fluid Eng 123 2001 331-340
3. Allaire G. Clerc S. Kokh S. A five-equation model for the simulation of interfaces between compressible fluids J. Comput. Phys 181 2002 577-616
4. Brennen C.E. Cavitation and Bubble Dynamics 1995 Oxford University Press Oxford
5. Chen Y. Heister S.D. A numerical treatment for attached cavitation J. Fluid Eng 116 1994 613-618
6. Delannoy Kueny J.L. Two phase flow approach in unsteady cavitation modelling Cavitation Multiphase Flow Forum, FED 98 1990 152-158
7. Deshpande M. Feng J. Merkle C.L. Cavity flow predictions based on the Euler equations J. Fluid Eng 116 1994 36-44
8. Deshpande M. Feng J. Merkle C.L. Numerical modeling of the thermodynamic effects of cavitation J. Fluid Eng 119 1997 420-427
9. Evje S. Fjelde K.K. Hybrid flux-splitting schemes for a two-phase flow model J. Comput. Phys 175 2002 674-701
10. Fedkiw R.P. Marquina A. Merriman B. A non oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method) J. Comput. Phys 152 1999 457-492
11. Gavrilyuk S. Saurel R. Mathematical and numerical modeling of two-phase compressible flows with micro-inertia J. Comput. Phys 175 2002 326-360
12. Glass I.I. Sislian J.P. Nonstationary Flows and Shock Waves 1994 Oxford Science Publication
13. Harten A. Lax P.D. Leer van B. On upstream differencing and Godunov type schemes for hyperbolic conservation laws SIAM Rev 25 1983 33-61
14. Jamet D. Lebaigue O. Coutris N. Delhaye J.M. The second gradient method for the direct numerical simulation of liquid-vapour flows with phase change J. Comput. Phys 169 2001 624-651
15. Kubota A. Kato H. Yamaguchi H. A new modelling of cavitating flows: A numerical study of unsteady cavitation on a hydrofoil section J. Fluid Mech 240 1992 59-96
16. Kunz R.F. Boger D.A. Stinebring D.R. Chyczewski T.S. Lindau J.W. Gibeling H.J. Venkateswaran S. Govindan T.R. A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction Comp. Fluids 29 2000 849-875
17. Liu T.G. Khoo B.C. Yeo K.S. The simulation of compressible multi-medium flow. Part I: A new methodology with test applications to 1D gas-gas and gas-water cases Comp. Fluids 30 3 2001 291-314
18. Liu T.G. Khoo B.C. Yeo K.S. The simulation of compressible multi-medium flow. Part II: Applications to 2D underwater shock refraction Comp. Fluids 30 3 2001 315-337
19. Liu T.G. Khoo B.C. Yeo K.S. Wang C. Underwater shock-free surface-structure interaction Int. J. Numer. Meth. Eng 58 4 2003 609-630
20. Liu T.G. Khoo B.C. Yeo K.S. Ghost Fluid Method for strong shock impacting on material interface J. Comput. Phys 190 2003 651-681
21. J.R. Qin, S.T.J. Yu, M.-C. Lai, Direct calculations of cavitating flows in fuel delivery pipe by the Space-Time CE/SE method, Society of Automotive Engineer, 1999-01-3554, 1999
22. Sanada K. Kitagawa A. Takenaka T. A study on analytical methods by classification of column separations in water pipeline Trans. Jpn. Soc. Mech. Eng. B 56 523 1990 585-593
23. Saurel R. Abgral R. A multiphase Godunov method for compressible multifluid and multiphase flows J. Comput. Phys 150 1999 425-467
24. Saurel R. Lemetayer O. A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation J. Fluid Mech 431 2001 239-271
25. Senocak I. Shyy W. A pressure-based method for turbulent cavitating flow computations J. Comput. Phys 176 2002 363-383
26. Schmidt D.P. Rutland C.J. Corradini M.L. A fully compressible, two-dimensional model of small, high speed, cavitating nozzles Atomization Sprays 9 1999 255-276
27. Tang H.S. Huang D. A second-order accurate capturing scheme for 1D inviscid flows of gas and water with vacuum zones J. Comput. Phys 128 1996 301-318
28. Toro E.F. Riemann Solvers and Numerical Methods for Fluid Dynamics 1997 Springer Publication Company
29. Van Brummelen E.H. Koren B. A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows J. Comput. Phys 185 2003 289-308
30. Venkateswaran S. Lindau J.W. Kunz R.F. Merkle C.L. Computation of multiphase mixture flows with compressible effects J. Comput. Phys 180 2002 54-77
31. Ventikos Y. Tzabiras A numerical method for the simulation of steady and unsteady cavitating flows Comp. Fluids 29 2000 63-88
32. Wallis G.B. One-dimensional Two-phase Flow 1969 McGraw-Hill New York
33. Wardlaw A.B. Luton J.A. Fluid-structure interaction mechanisms for close-in explosions Shock Vibr 7 2000 265-275