A Numerical Method for Solving Incompressible Flow Problems with a Surface of Discontinuity

Journal of Computational Physics

Volumn 148, Issue 2, 1999, Pages 366-396

  Helenbrook, B T ^a   Martinelli, L ^a   Law, C K ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS;

FLOW PROBLEMS; FLUID INTERFACE; FLUID PROPERTY; FREE SURFACES; IMMISCIBLE FLUIDS; MOVING SURFACES; PREMIXED FLAME; SMOOTHING EFFECTS;

INCOMPRESSIBLE FLOW;

EID: 0000686802     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6115     Document Type: Article

References (28)

1. Ashurst Wm. T. Flame propagation through swirling eddies, a recursive pattern. Combust. Sci. Technol. 92:1993;87.
2. Baker G. R., Meiron D. I., Orszag S. A. Generalized vortex methods for free-surface flow problems. J. Fluid Mech. 123:1982;477.
3. Bell J. B., Colella P., Glaz H. A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 85:1989;237.
4. A. Belov, L. Martinelli, A. Jameson, A new implicit algorithm with multigrid for unsteady incompressible flow calculations, 1995.
5. Belov A. A New Multigrid-Driven Algorithm for Unsteady Incompressible Flow Calculations on Parallel Computers. June 1997.
6. Brackbill J. U., Kothe D. B., Zemach C. A continuum method for modeling surface tension. J. Comput. Phys. 100:1192;335.
7. Chang Y. C., Hou T. Y., Merriman B., Osher S. A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124:1996;449.
8. L. P. Chin, Numerical modeling of interactions between evaporating droplets, 1997.
9. Chorin A. J. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2:1967;12.
10. Gear C. W. Numerical Initial Value Problems in Ordinary Differential Equations. 1971.
11. Helenbrook B. T., Sung C. J., Law C. K., Ashurst Wm. T. On stretch-affected flame propagation in vortical flows. Combust. Flame. 104:1996;460.
12. D. Juric, A numerical study of vapor explosions in microgravity, 1997.
13. Kerstein A. R., Ashurst Wm. T., Williams F. A. Field equation for interface propagation in an unsteady homogeneous flow field. Phys. Rev. A. 37:1988;2728.
14. Kothe D. B., Mjolsness R. C. RIPPLE: A new model for incompressible flows with free surfaces. AIAA J. 30:1992;2694.
15. Landau L. D., Lifshitz E. M. Fluid Mechanics. 1959;478.
16. B. H. Liou, L. Martinelli, T. J. Baker, A. Jameson.
17. Matalon M., Matkowsky B. J. Flames as gasdynamic discontinuities. J. Fluid Mech. 124:1982;239.
18. Osher S., Sethian J. A. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79:1988;12.
19. Poinsot T., Veynante D., Candel S. Diagrams of premixed turbulent combustion based on direct simulation. Twenty-Third Symposium (International) on Combustion. 1990;613.
20. Puckett E. G., Almgren A. S., Bell J. B., Marcus D. L., Rider W. J. A high-order projection method for tracking fluid interfaces in variable density incompressible flows. J. Comput. Phys. 130:1997;269.
21. Rizzi A., Eriksson L. E. Computation of inviscid incompressible flow with rotation. J. Fluid Mech. 153:1985;275.
22. Rutland C. J., Ferziger J. H., El Tahry S. H. Full numerical simulation and modeling of turbulent premixed flames. Twenty-Third Symposium (International) on Combustion. 1990;621.
23. Sussman M., Smereka P., Osher S. A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114:1994;146.
24. Sussman M., Smereka P. Axisymmetric free boundary problems. J. Fluid Mech. 341:1997;269.
25. Unverdi S. O., Tryggvason G. Computations of multi-fluid flows. Physica D. 60:1992;70.
26. Unverdi S. O., Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100:1992;25.
27. Wu M.-S., Driscoll J. F. a numerical simulation of a vortex convected through a laminar premixed flame. Combust. Flame. 91:1992;310.
28. Zhu J., Ronney P. D. Simulation of front propagation at large non-dimensional flow disturbance intensities. Combust. Sci. Technol. 100:1994;183.