A fast algorithm for moving interface problems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2668, Issue , 2003, Pages 782-790

  Dutta, S ^a   Glimm, J ^a,b   Grove, J W ^c   Sharp, D H ^d   Zhang, Y ^a  

^a Stony Brook University   (United States)

^b BROOKHAVEN NATIONAL LABORATORY   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

^d LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS;

FAST ALGORITHMS; FRONT TRACKING; L1 ERROR; MOVING INTERFACE; SPHERICAL SHOCKS; SPHERICAL SIMULATION;

NUMERICAL METHODS;

EID: 35248848892     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44843-8_85     Document Type: Article

References (20)

1. I-L. Chern, J. Glimm, O. McBryan, B. Plohr, and S. Yaniv. Front tracking for gas dynamics. J. Comp. Phys., 62:83-110, 1986.
2. R. P. Drake, H. F. Robey, O. A. Hurricane, B. A. Remington, J. Knauer, J. Glimm, Y. Zhang, D. Arnett, D. D. Ryutov, J. O. Kane, K. S. Budil, and J. W. Grove. Experiments to produce a hydrodynamically unstable spherically diverging system of relevance to instabilities in supernovae. Astrophysical Journal, 564:896-906, 2002.
3. C. L. Gardner, J. Glimm, O. McBryan, R. Menikoff, D. Sharp, and Q. Zhang. The dynamics of bubble growth for Rayleigh-Taylor unstable interfaces. Phys. Fluids, 31:447-465, 1988.
4. J. Glimm, J. W. Grove, X.-L. Li, K.-M. Shyue, Q. Zhang, and Y. Zeng. Three dimensional front tracking. SIAM J. Sci. Comp., 19:703-727, 1998.
5. J. Glimm, J. W. Grove, X.-L. Li, and D. C. Tan. Robust computational algorithms for dynamic interface tracking in three dimensions. SIAM J. Sci. Comp., 21:2240-2256, 2000.
6. J. Glimm, J. W. Grove, X.-L. Li, and N. Zhao. Simple front tracking. In G.-Q. Chen and E. DiBebedetto, editors, Contemporary Mathematics, volume 238, pages 133-149. Amer. Math. Soc., Providence, RI, 1999.
7. J. Glimm, J. W. Grove, W. B. Lindquist, O. McBryan, and G. Tryggvason. The bifurcation of tracked scalar waves. SIAM Journal on Computing, 9:61-79, 1988.
8. J. Glimm, J. W. Grove, and Y. Zhang. Three dimensional axisymmetric simulations of fluid instabilities in curved geometry. In M. Rahman and C. A. Brebbia, editors, Advances in Fluid Mechanics III, pages 643-652. WIT Press, Southampton, UK, 2000.
9. J. Glimm, J. W. Grove, and Y. Zhang. Interface tracking for axisymmetric flows. SIAM J. SciComp, 24:208-236, 2002. LANL report No. LA-UR-01-448.
10. J. Glimm, J. W. Grove, Y. Zhang, and S. Dutta. Numerical study of axisymmetric richtmyer-meshkov instability and azimuthal effect on spherical mixing. J. Stat. Physics, 107:241-260, 2002.
11. J. Glimm, X.-L. Li, R. Menikoff, D. H. Sharp, and Q. Zhang. A numerical study of bubble interactions in Rayleigh-Taylor instability for compressible fluids. Phys. Fluids A, 2(11):2046-2054, 1990.
12. J. Glimm and X.-Li. On the validation of the Sharp-Wheeler bubble merger model from experimental and computational data. Phys. Fluids, 31:2077-2085, 1988.
13. J. W. Grove. Anomalous waves in shock wave - fluid interface collisions. In B. Lindquist, editor, Current Progress in Hyperbolic Systems: Riemann Problems and Computations, volume 100 of Contemporary Mathematics, pages 77-90. American Mathematics Society, Providence, RI, 1989.
14. J. W. Grove. The interaction of shock waves with fluid interfaces. Adv. Appl. Math., 10:201-227, 1989.
15. J. W. Grove. Applications of front tracking to the simulation of shock refractions and unstable mixing. J. Appl. Num. Math., 14:213-237, 1994.
16. J. W. Grove. FronTier: A compressible hydrodynamics front tracking code; A short course in front tracking. LANL Report LA-UR 99-3985, Los Alamos National Laboratory, 1999.
17. J. W. Grove, R. Holmes, D. H. Sharp, Y. Yang, and Q. Zhang. Quantitative theory of Richtmyer-Meshkov instability. Phys. Rev. Lett., 71(21):3473-3476, 1993.
18. J. W. Grove and R. Menikoff. The anomalous reflection of a shock wave at a material interface. J. Fluid Mach., 219:313-336, 1990.
19. R. L. Holmes, J. W. Grove, and D. H. Sharp. Numerical investigation of Richtmyer-Meshkov instability using front tracking. J. Fluid Mech., 301:51-64, 1995.
20. Q. Zhang and M. J. Graham. A numerical study of Richtmyer-Meshkov instability driven by cylindrical shocks. Phys. Fluids, 10:974-992, 1998.