Numerical solution of a two-dimensional fluidized bed model

International Journal for Numerical Methods in Fluids

Volumn 28, Issue 3, 1998, Pages 381-394

  Christie, I ^a   Ganser, G H ^a   Wilder, J W ^a  

^a WEST VIRGINIA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); ENTROPY; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

CONSERVATION LAWS; ELLIPTIC EQUATION; FLUX LIMITING TECHNIQUES; HYPERBOLIC SYSTEMS; OPERATOR SPLITTING; ROE'S METHOD;

FLUIDIZED BEDS;

FLUIDIZED BED; MATHEMATICAL MODELING; TWO-DIMENSIONAL OBJECT;

EID: 0032531303     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19980915)28:3<381::AID-FLD717>3.0.CO;2-7     Document Type: Article

References (20)

1. D.A. Drew, 'Mathematical modeling of two-phase now', Ann. Rev. Fluid. Mech., 15, 261-291 (1983).
2. A.D. Fitt, 'The character of two-phase gas/particulate flow equations', Appl. Math. Model., 17, 338-354 (1993).
3. J.B. Fanucci, N. Ness and R.-H. Yen, 'Structure of shock waves in gas-particulate fluidized beds', Phys. Fluids, 24, 1944-1954 (1981).
4. D.J. Needham and J.H. Merkin, 'The propagation of voidage disturbances in a uniformly fluidized bed', J. Fluid Mech., 131, 427-454 (1983).
5. G.H. Ganser and J. Lightbourne, 'Oscillatory travelling waves in a hyperbolic model of a fluidized bed'. Chem. Eng. Sci., 46, 1339-1347 (1991).
6. I. Christie, G.H. Ganser and J.M. Sanz-Serna, 'Numerical solution of a hyperbolic system of conservation laws with source term arising in a fluidized bed model', J. Comput. Phys., 93, 297-311 (1991).
7. W.G. Strang, 'On the construction and comparison of difference schemes', SIAM J. Numer. Anal., 5, 506-517 (1968).
8. P.L. Roe, 'Approximate Riemann solvers, parameter vectors, and difference schemes', J. Comput. Phys., 43, 357-372 (1981).
9. A. Harten and J.M. Hyman, 'Self adjusting grid methods for one-dimensional hyperbolic conservation laws', J. Comput. Phys., 50, 235-269 (1983).
10. I. Christie and C. Palencia, 'An exact Riemann solver for a fluidized bed model', IMA J. Numer. Anal., II, 493-508 (1991).
11. J.W. Pritchett, T.R. Blake and S.K. Garg, 'A numerical model of gas fluidized beds', AIChE Symposium Series on Fluidization: Application to Coal Conversion Processes, 74, 134-148 (1978).
12. M. Syamlal, 'NIMPF: A computer code for nonisothermal multiparticle fluidization', EG&G Internal Report, (1987).
13. M. Syamlal and T.J. O'Brien, 'Computer simulation of bubbles in a fluidized bed', AlChE Symposium Series on Fluidization and Fluid Particle Systems: Fundamentals and Applications, 85, 22-31 (1989).
14. J.B. Fanucci, N. Ness and R.-H. Yen, 'On the formation of bubbles in gas-particulate fluidized beds', J. Fluid Mech., 94, 353-367 (1979).
15. J.T.C. Liu, 'Note on a wave-hierarchy interpretation of fluidized bed instabilities', Proc. Roy. Soc. A., 380, 229-239 (1982).
16. J.T.C. Liu, 'Nonlinear wave disturbances in fluidized beds', Proc. Roy. Soc. A., 389, 331-347 (1983).
17. G.M. Homsy, M.M. El-Kaissy and D.A. Didwania, 'Instability waves and the origin of bubbles in a fluidized bed - II', Int. J. Multiphase Flow, 6, 305-318 (1980).
18. G.H. Ganser, X. Hu and D. Li, 'Solutions for a 2-dimensional hyperbolic-elliptic coupled system', SIAM J. Math. Anal., 27, 1024-1037 (1996).
19. P. Glaister, 'An approximate linearised Riemann solver for the three-dimensional Euler equations for real gases using operator splitting', J. Comput. Phys., 77, 361-383 (1988).
20. A.R. Mitchell and D.F. Griffiths, The Finite Difference Method in Partial Differential Equations', Wiley, New York, 1980.