Fast and robust computation of the matrix absolute value function. Application to roe solver for the numerical simulation of two-phase flow models

International Conference on Nuclear Engineering, Proceedings, ICONE

Volumn 2006, Issue , 2006, Pages

  Ndjinga, Michaël ^a   Kumbaro, Anela ^a   Laurent Gengoux, Pascal ^b   De Vuyst, Florian ^b  

^a CEA SACLAY   (France)

^b ECOLE CENTRALE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE COMPUTATION; ROBUST COMPUTATION; SYSTEM MATRIX; VIRTUAL MASS FORCE MODELS;

ALGORITHMS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; MATHEMATICAL MODELS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS);

TWO PHASE FLOW;

EID: 33845759325     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/ICONE14-89817     Document Type: Conference Paper

References (17)

1. M. Ishii, 1975, "Thermo-Fluid Dynamic Theory of Two-Phase Flow," Eyrolles, Paris.
2. M. Drew, D. A. Drew and S. L. Passman, 1999, "Theory of Multicomponents Fluids," Springer-Verlag, New York.
3. H. B. Stewart and B. Wendroff,1984,"Two-phase flow: Models and methods,"J. of Comp. Physics, 56,3.
4. J. Hadamard, 1923, "Lectures on Cauchy's Problem in Linear Partial Differential Equations," Yale Univ. Press, New Haven, Conncticut.
5. J.-W. Park, D.A. Drew and R.T. Lahey, Jr, 1999, " The Analysis of Void Wave Propagation in Adiabatic Monodispersed Bubbly Two-Phase Flows Using an Ensemble-Averaged Two-Fluid Model", Int. J. Multiphase Flow, vol. 24, pp. 1205-1244.
6. M. Ndjinga, A. Kumbaro, F. De Vuyst, P. Laurent-Gengoux, 2005, "Influence of Interfacial Forces on the Hyperbolicity of the Two-Fluid Model", 5th International Symposium on Multiphase Flow, Xi'an, China.
7. K. El Amine, 1997, "Modlisation et analyse numrique des coulements diphasiques en dsquilibre," PhD Thesis, Universit Paris 6.
8. PL. Roe, 1981, "Approximate Riemannn solvers, parameter vectors and difference schemes," J. of Comput. Phys., 43, 357.
9. I. Toumi, A. Kumbaro, 1996, "An Approximate Linearized Riemann Solver for a Two-Fluid Model," Journal of Computational Physics, 2, 124.
10. F. Alouges, 1998, "Matrice signe et systemes hyperboliques," CMLA Technical Report, ENS Cachan.
11. B. Mandelbrot, 1983, "The fractal geometry of nature," Freeman, New York.
12. J. Stoer, R. Bulirsch, 2002, "Introduction to Numerical Analysis," Springer-Verlag.
13. D. Coppersmith, S. Winograd, 1990, "Matrix multiplication via arithmetic progressions," Journal of Symbolic Computation, 9.
14. H. Staedtke and al., 2004, "Advanced Three-Dimensional Two-Phase Flow Simulation Tools for Application to Reactor Safety (ASTAR)", Nuclear Engineering and Design, Vol.11.
15. G. Hewitt, J.M. Delhaye and M. Zuber, 1987, "Numerical benchmark tests in Multiphase Science and Technology," vol. 3, Hemisphere Washington DC/New York.
16. A. Kumbaro, V. Seignole, 2001, "Two-Phase Flow Computing with OVAP Code," Workshop Trends in Numerical and Physical Modeling of Industrial Two-phase Flow", Cargese, France, September 26-28.
17. A. Kumbaro, M.Z. Podowski , 2006, "The effect of buble/bubble interaction on local void distribution in twophase flows," IHTC-13, 13-18 August, Sydney, Australia.