High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set

Journal of Computational Physics

Volumn 224, Issue 2, 2007, Pages 836-866

  Nourgaliev, R R ^a   Theofanous, T G ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Adaptive mesh refinement; Capturing interfaces; Compressible flow; Contact discontinuities; High order discretization; Interfacial instability; Level set; Multi fluid flow

Indexed keywords

DROP BREAKUP; INCOMPRESSIBLE FLOW; LEVEL MEASUREMENT; MACH NUMBER; MESH GENERATION; NUMERICAL METHODS;

ADAPTIVE MESH REFINEMENT; CAPTURING INTERFACE; CONTACT DISCONTINUITIES; HIGH-FIDELITY; HIGHER ORDER DISCRETIZATION; INTERFACE TRACKING; INTERFACIAL INSTABILITY; LEVEL SET; LEVEL SET METHOD; MULTI-FLUID FLOW;

COMPRESSIBLE FLOW;

EID: 34248546217     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.10.031     Document Type: Article

References (47)

1. Adalsteinsson D., and Sethian J.A. The fast construction of extension velocities in level set methods. Journal of Computational Physics 148 (1999) 2-22
2. Berger M.J., and Colella P. Local adaptive mesh refinement for shock hydrodynamics. Journal of Computational Physics 82 (1989) 67-84
3. Berger M.J., and Oliger J. Adaptive mesh refinement for hyperbolic partial differential equations. Journal of Computational Physics 53 (1984) 482-512
4. Berger M.J., and Rigoutsos I. An algorithm for point clustering and grid generation. IEEE Transactions on Systems, Man, and Cybernetics 21 5 (1991) 1278-1286
5. Balsara D.S., and Shu C.-W. Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Journal of Computational Physics 160 (2000) 405-452
6. Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability (1981), Dover Publications Inc., New York pp. 444-449
7. Choi D.-I., Brown J.D., Imbirida B., Centrella J., and MacNeice P. Interface conditions for wave propagation through mesh refinement boundaries. Journal of Computational Physics 193 (2004) 398-425
8. Enright D., Fedkiw R., Ferziger J., and Mitchell I. A hybrid particle level set method for interface capturing. Journal of Computational Physics 183 (2002) 83-116
9. Enright D., Losasso F., and Fedkiw R. A fast and accurate semi-Lagrangian particle level set method. Computers and Structures 83 6-7 (2005) 479-490
10. Fedkiw R.P., Aslam T., Merriman B., and Osher S. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). Journal of Computational Physics 152 (1999) 457-492
11. C.A.J. Fletcher, Computational Techniques for Fluid Dynamics, second ed., vol. 1, Springer, Berlin/Heidelberg/New York, 1991.
12. Glimm J., Grove J.W., Li X.L., Oh W., and Sharp D.H. A critical analysis of Rayleigh-Taylor growth rates. Journal of Computational Physics 169 (2001) 652-677
13. Gottlieb S. On high order strong stability preserving Runge-Kutta and multi step discretizations. Journal of Scientific Computing 25 1/2 (2005) 105-128
14. He X., Chen S., and Zhang R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. Journal of Computational Physics 152 (1999) 642-663
15. Hieber S.E., and Koumoutsakos P. A Lagrangian particle level set method. Journal of Computational Physics 210 (2005) 342-367
16. Hornung R.D., and Kohn S.R. Managing application complexity in the SAMRAI object-oriented framework. Concurrency and Computation: Practice and Experience (Special Issue) 14 (2002) 347-368
17. Jiang G.S., and Shu C.-W. Efficient implementation of weighted ENO schemes. Journal of Computational Physics 126 (1996) 202-228
18. Jiang G.S., and Peng D. Weighted ENO schemes for Hamilton-Jacobi equations. SIAM Journal of Scientific Computing 21 (2000) 2126-2143
19. Losasso F., Fedkiw R., and Osher S. Spatially adaptive techniques for level set methods and incompressible flow. Computers and Fluids 35 (2006) 995-1010
20. Marchandise E., Remacle J.-F., and Chevaugeon N. A quadrature-free discontinuous Galerkin method for the level set equation. Journal of Computational Physics 212 (2006) 338-357
21. Mulder W., Osher S., and Sethian J.A. Computing interface motion in compressible gas dynamics. Journal of Computational Physics 100 (1992) 209-228
22. D. Nguyen, F. Gibou, R. Fedkiw, A fully conservative ghost fluid method and stiff detonation waves, in: 12th International Detonation Symposium, San Diego, CA, 2002.
23. Nourgaliev R.R., Dinh T.N., and Theofanous T.G. A pseudo-compressibility method for the numerical simulation of incompressible multifluid flows. International Journal of Multiphase Flow 30 7-8 (2004) 901-937
24. Nourgaliev R.R., Wiri S., Dinh T.N., and Theofanous T.G. On improving mass conservation of level set method by reducing spatial discretization errors. International Journal of Multiphase Flow 31 12 (2005) 1329-1336
25. R.R. Nourgaliev, T.N. Dinh, T.G. Theofanous, Sharp treatment of surface tension and viscous stresses in compressible multifluid dynamics, in: The 17th AIAA Computational Fluid Dynamics Conference, Toronto, Canada, June 6-9, 2005, AIAA Paper 2005-5349.
26. Nourgaliev R.R., Dinh T.N., and Theofanous T.G. Adaptive characteristics-based method for compressible multifluid dynamics. Journal of Computational Physics 213 2 (2006) 500-529
27. Olsson E., and Kreiss G. A conservative level set method for two phase flow. Journal of Computational Physics 210 (2005) 225-246
28. Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79 (1988) 12-49
29. Osher S., and Fedkiw R. Level set methods and dynamic implicit surfaces. Applied Mathematical Sciences vol. 153 (2003), Springer, New York, Berlin, Heidelberg
30. Peng D.P., Merriman B., Osher S., Zhao H., and Kang M. A PDE-based fast local level set method. Journal of Computational Physics 155 (1999) 410-438
31. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipies in C (The Art of Scientific Computing). Second ed. (1997), Cambridge University Press, Cambridge
32. W.J. Rider, D.B. Kothe, Stretching and tearing interface tracking methods, in: The 12th AIAA CFD Conference, San Diego, USA, June 20, 1995, AIAA-95-1717.
33. Rider W.J., and Kothe D.B. Reconstructing volume tracking. Journal of Computational Physics 141 (1998) 112-152
34. SAMRAI: structured adaptive mesh refinement application infrastructure. Available from .
35. Sethian J.A. Level set methods and fast marching methods (1999), Cambridge University Press, Cambridge
36. Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics 77 (1989) 439-471
37. Strain J. Tree methods for moving interfaces. Journal of Computational Physics 151 (1999) 616-686
38. Strang G. Accurate partial difference methods II: non-linear problems. Numerische Mathematik 6 (1964) 37-46
39. Sussman M., Smereka P., and Osher S. A level set method for computing solutions to incompressible two-phase flow. Journal of Computational Physics 119 (1994) 146
40. Sussman M., and Fatemi E. An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. SIAM Journal of Scientific Computing 20 (1999) 1165
41. Sussman M., Almgren A.S., Bell J.B., Colella P., Howell L.H., and Welcome M.L. An adaptive level set approach for incompressible two-phase flows. Journal of Computational Physics 148 (1999) 81-124
42. Sussman M., and Puckett E.G. A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. Journal of Computational Physics 162 (2000) 301-337
43. Tran L.B., and Udaykumar H.S. A particle-level set-based sharp interface Cartesian grid method for impact, penetration, and void collapse. Journal of Computational Physics 193 (2004) 469-510
44. A. Wissink, D. Hysom, R. Hornung, Enhancing scalability of parallel structured AMR calculations, in: Proceedings of the 17th ACM International Conference on Supercomputing (ICS03), San Francisco, CA, June 23-26, 2003, pp. 336-347.
45. Youngs D.L. Numerical simulation of turbulent mixing by Rayleigh-Taylor instability. Physica D 12 (1984) 32-44
46. Youngs D.L. Three-dimensional numerical simulation of turbulent mixing by Rayleigh-Taylor instability. Physics of Fluids A 3 (1991) 1312
47. Zalesak S. Fully multidimensional flux-corrected transport algorithms for fluids. Journal of Computational Physics 31 (1979) 335