Relaxation two-phase flow models and the subcharacteristic condition

Mathematical Models and Methods in Applied Sciences

Volumn 21, Issue 12, 2011, Pages 2379-2407

  Flåtten, Tore ^a   Lund, Halvor ^b  

^a SINTEF ENERGY RESEARCH   (Norway)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

relaxation; Subcharacteristic condition; two phase flow

Indexed keywords

ANALYTICAL EXPRESSIONS; EQUATION OF STATE; EQUILIBRIUM SYSTEMS; NATURAL PHENOMENA; RELAXATION; SECOND LAWS OF THERMODYNAMICS; SUBCHARACTERISTIC CONDITION; THERMODYNAMICALLY STABLE; TWO PHASE FLOW MODEL; VOLUME TRANSFER; WAVE VELOCITY;

EQUATIONS OF STATE; RELAXATION PROCESSES; THERMODYNAMICS;

TWO PHASE FLOW;

EID: 84255191241     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202511005775     Document Type: Article

References (20)

1. R. Abgrall and R. Saurel, Discrete equations for physical and numerical compressible multiphase mixtures, J. Comput. Phys. 186 (2003) 361-396. (Pubitemid 36445969)
2. M. R. Baer and J. W. Nunziato, A two-phase mixture theory for the deflagration-todetonation transition (DDT) in reactive granular materials, Int. J. Multiphase Flow 12 (1986) 861-889. (Pubitemid 17511425)
3. F. Barre et al., The CATHARE code strategy and assessment, Nucl. Eng. Des. 124 (1990) 257-284.
4. K. H. Bendiksen, D. Malnes, R. Moe and S. Nuland, The dynamic two-fluid model OLGA: Theory and application, in SPE Prod. Eng. 6 (1991) 171-180. (Pubitemid 21652006)
5. G.-Q. Chen, C. D. Levermore and T.-P. Liu, Hyperbolic conservation laws with stiff relaxation terms and entropy, Commun. Pure Appl. Math. 47 (1994) 787-830.
6. T. Flatten, A. Morin and S. T. Munkejord, Wave propagation in multicomponent flow models, SIAM J. Appl. Math. 70 (2010) 2861-2882.
7. I. G. Gvozdeva and O. A. Predvoditeleva, Triple configurations of detonation waves in gases, Combust. Explos. Shock Waves 5 (1969) 309-316.
8. S. W. Kieffer, Sound speed in liquid-gas mixtures: Water-air and water-steam, J. Geophys. Res. 82 (1977) 2895-2904.
9. M. Larsen, E. Hustvedt, P. Hedne and T. Straume, Petra: A novel computer code for simulation of slug flow, in SPE Annual Technical Conference and Exhibition, SPE 38841 (1997) 1-12.
10. T.-P. Liu, Hyperbolic conservation laws with relaxation, Commun. Math. Phys. 108 (1987) 153-175.
11. A. Morin, P. K. Aursand, T. Flatten and S. T. Munkejord, Numerical resolution of CO2 transport dynamics, in SIAM Conference on Mathematics for Industry: Challenges and Frontiers (MI09), SIAM, Philadelphia, 2009, pp. 108-119; available online from http://www.siam.org/proceedings/industry/2009/ mi09013morina.pdf.
12. S. T. Munkejord, J. P. Jakobsen, A. Austegard and M. J. Molnvik, Thermo- and fluiddynamical modeling of two-phase multi-component carbon dioxide mixtures, Int. J. Greenh. Gas Con. 4 (2010) 589-596.
13. A. Murrone and H. Guillard, A five equation reduced model for compressible two phase flow problems, J. Comput. Phys. 202 (2005) 664-698. (Pubitemid 39620332)
14. R. Natalini, Recent results on hyperbolic relaxation problems. Analysis of systems of conservation laws, in Chapman & Hall/CRC Monogr. Surv. Pure Appl. Math., Vol. 99 (Chapman & Hall/CRC, 1999), pp. 128-198.
15. D. J. Picard and P. R. Bishnoi, Calculation of the thermodynamic sound velocity in two-phase multicomponent fluids, Int. J. Multiphase Flow 13 (1987) 295-308. (Pubitemid 17624039)
16. R. Saurel and R. Abgrall, A multiphase Godunov method for compressible multifluid and multiphase flows, J. Comput. Phys. 150 (1999) 425-467.
17. R. Saurel, F. Petitpas and R. Abgrall, Modeling phase transition in metastable liquids: Application to cavitating and flashing flows, J. Fluid Mech. 607 (2008) 313-350. (Pubitemid 351965833)
18. H. Städtke, Gasdynamic Aspects of Two-Phase Flow (Wiley-VCH, 2006).
19. WAHA3 Code Manual, JSI Report IJS-DP-8841, Jožef Stefan Institute, Ljubljana, Slovenia (2004).
20. A. Zein, M. Hantke and G. Warnecke, Modeling phase transition for compressible two-phase flows applied to metastable liquids, J. Comput. Phys. 229 (2010) 2964-2998.