Marker-based, 3-D adaptive cartesian Grid method for multiphase flow around irregular geometries

46th AIAA Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2008, Pages

  Uzgoren, Eray ^a   Sim, Jaeheon ^b   Shyy, Wei ^b  

^a State University   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CARTESIAN GRID; CARTESIAN GRID; COMPLEX GEOMETRIES; COMPUTATIONAL SIMULATION; CONTACT LINES; EULERIAN-LAGRANGIAN FRAMEWORK; FLOW MANAGEMENT; GRID LAYOUT; INTERFACE SHAPE; IRREGULAR GEOMETRIES; LIQUID PLUGS; LOCAL-ADAPTIVE; MOVING BOUNDARIES; NO-SLIP CONDITION; SOLID BOUNDARIES; SOLUTION TECHNIQUES; TEST CASE; TIME DEPENDENT; TOPOLOGICAL CHANGES; TRANSPORT EQUATION; TRIANGULATED SURFACES;

AEROSPACE ENGINEERING; DATA STRUCTURES; FUEL TANKS; GEOMETRY; MULTIPHASE FLOW; THREE DIMENSIONAL;

TOPOLOGY;

EID: 58249143259     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (58)

1. Uzgoren, E., R. Singh, J. Sim, and W. Shyy, Computational modeling for multiphase flows with spacecraft application. Progress in Aerospace Sciences, 2007. 43: p. 138-192.
2. Shyy, W., H.S. Udaykumar, M.M. Rao, and R.W. Smith, Computational Fluid Dynamics with Moving Boundaries. Taylor & Francis, Washington, DC, (1996, revised printing 1997, 1998&2001). 2007, New York: Dover.
3. Osher, S. and R.P. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces. 2002: Springer.
4. Scardovelli, R. and S. Zaleski, Direct numerical simulation of free-surface and interfacial flow. Annual Review of Fluid Mechanics, 1999. 31(1): p. 567-603.
5. Tryggvason, G., B. Bunner, A. Esmaeeli, N. Al-Rawahi, W. Tauber, J. Han, Y.J. Jan, D. Juric, and S. Nas, A front-tracking method for the computations of multiphase flow. Journal of Computational Physics, 2001. 169(2): p. 708-759.
6. Tryggvason, G. and A. Prosperetti, eds. Computational Methods for Multiphase Flow. 2007, Cambridge University Press.
7. Wasekar, V.M. and R.M. Manglik, Short-time-transient surfactant dynamics and Marangoni convection around boiling nuclei. Journal of Heat Transfer, 2003. 125(5): p. 858-866.
8. Perot, B. and R. Nallapati, A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows. Journal of Computational Physics, 2003. 184(1): p. 192-214.
9. Losasso, F., R. Fedkiw, and S. Osher, Spatially adaptive techniques for level set methods and incompressible flow. Computers and Fluids, 2006. 35: p. 995-1010.
10. Francois, M.M., S.J. Cummins, E.D. Dendy, D.B. Kothe, J.M. Sicilian, and M.W. Williams, A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. Journal of Computational Physics, 2006. 213(1): p. 141-173.
11. Enright, D., F. Losasso, and R. Fedkiw, A fast and accurate semi-Lagrangian particle level set method. Computers and Structures, 2005. 83(6-7): p. 479-490.
12. Sussman, M., K.M. Smith, M.Y. Hussaini, M. Ohta, and R. Zhi-Wei, A sharp interface method for incompressible two-phase flows. Journal of Computational Physics, 2007. 221(2): p. 469-505.
13. Chang, C.H. and M.S. Liou, A robust and accurate approach to computing compressible multiphase flow: Stratified flow model and AUSM+-up scheme. Journal of Computational Physics, 2007. 225(1): p. 840-873.
14. Uzgoren, E., J. Sim, and W. Shyy. Computations of multiphase fluid flows using marker-based adaptive, multilevel Cartesian grid Method. in 45th AIAA Aerospace Sciences Meeting and Exhibit. 2007. Reno, NV.
15. Uzgoren, E., R. Singh, J. Sim, and W. Shyy. A Unified Adaptive Cartesian Grid Method for Solid-Multiphase Fluid Dynamics with Moving Boundaries. in 18th AIAA Computational Fluid Dynamics Conference. 2007. Miami, FL.
16. Glimm, J., M.J. Graham, J. Grove, X.L. Li, T.M. Smith, D. Tan, F. Tangerman, and Q. Zhang, Front tracking in two and three dimensions. Comput. Math. Appl, 1998. 35(1).
17. Glimm, J., J.W. Grove, X.L. Li, and D.C. Tan, Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions. SIAM Journal on Scientific Computing, 1999. 21(6): p. 2240-2256.
18. Singh, R. and W. Shyy, Three-dimensional adaptive Cartesian grid method with conservative interface restructuring and reconstruction. Journal of Computational Physics, 2007. 224: p. 150-167.
19. Shyy, W., Multiphase computations using sharp and continuous interface techniques for micro-gravity applications. Comptes rendus. Mecanique 2004. 332(5-6): p. 375-386.
20. Peskin, C.S., The immersed boundary method. Acta Numerica, 2003. 11: p. 479-517.
21. Francois, M. and W. Shyy, Computations of Drop Dynamics with the Immersed Boundary Method, Part 1: Numerical Algoritm and Buoyancy-Induced Effect. Numerical Heat Transfer: Part B: Fundamentals, 2003. 44(2): p. 101-118.
22. Ye, T., R. Mittal, H.S. Udaykumar, and W. Shyy, An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. Journal of Computational Physics, 1999. 156(2): p. 209-240.
23. Leveque, R.J. and Z. Li, The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources. SIAM Journal on Numerical Analysis, 1994. 31(4): p. 1019-1044.
24. Li, Z. and M.C. Lai, The Immersed Interface Method for the Navier-Stokes Equations with Singular Forces. Journal of Computational Physics, 2001. 171(2): p. 822-842.
25. Liu, X.D., R.P. Fedkiw, and M. Kang, A boundary condition capturing method for Poisson's equation on irregular domains. Journal of Computational Physics, 2000. 160(1): p. 151-178.
26. Kang, M., R.P. Fedkiw, and X.D. Liu, A Boundary Condition Capturing Method for Multiphase Incompressible Flow. Journal of Scientific Computing, 2000. 15(3): p. 323-360.
27. Marella, S., S. Krishnan, H. Liu, and H.S. Udaykumar, Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations. Journal of Computational Physics, 2005. 210(1): p. 1-31.
28. Aftosmis, M.J., Solution adaptive Cartesian grid methods for aerodynamic flows with complex geometries. Lecture notes, von Karman Institute for Fluid Dynamics, Series, 1997. 2.
29. Yang, J. and E. Balaras, An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. Journal of Computational Physics, 2006. 215(1): p. 12-40.
30. Gilmanov, A. and F. Sotiropoulos, A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. Journal of Computational Physics, 2005. 207(2): p. 457-492.
31. Shin, S., S.I. Abdel-Khalik, and D. Juric, Direct three-dimensional numerical simulation of nucleate boiling using the level contour reconstruction method. International journal of multiphase flow, 2005. 31(10-11): p. 1231-1242.
32. Juric, D. and G. Tryggvason, Computations of boiling flows. Int. J. Multiphase Flow, 1998. 24(3): p. 387-410.
33. Chorin, A.J., Numerical Solution of the Navier-Stokes Equations. Mathematics of Computation, 1968. 22(104): p. 745-762.
34. Kim, J. and P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations. Journal of Computational Physics, 1985. 59: p. 308-323.
35. Singh, R., Three-dimensional marker-based multiphase flow computation using adaptive cartesian grid techniques, in Mechanical and Aerospace Engineering. 2006, University of Florida: Gainesville. p. 144.
36. Engquist, B., A.K. Tornberg, and R. Tsai, Discretization of Dirac delta functions in level set methods. Journal of Computational Physics, 2005. 207(1): p. 28-51.
37. Stockie, J.M., Analysis and Computation of Immersed Boundaries, with Application to Pulp Fibres, in Institute of Applied Mathematics. 1997, University of British Columbia.
38. Singh, R., E. Uzgoren, W. Shyy, and M. Garbey. Three-Dimensional Adaptive, Cartesian Grid Method for Multiphase Flow Computations. in 43rd AIAA Aerospace Sciences Meeting and Exhibit. 2005. Reno, NV.
39. Wang, Z. and Z.J. Wang, The Level Set Method on Adaptive Cartesian Grid For Interface Capturing. AIAA Paper No, 2004. 82.
40. Francois, M. and W. Shyy, Micro-scale drop dynamics for heat transfer enhancement. Progress in Aerospace Sciences, 2002. 38(4): p. 275-304.
41. de Sousa, F.S., N. Mangiavacchi, L.G. Nonato, A. Castelo, M.F. Tomé, V.G. Ferreira, J.A. Cuminato, and S. McKee, A front-tracking/front- capturing method for the simulation of 3D multi-fluid flows with free surfaces. Journal of Computational Physics, 2004. 198(2): p. 469-499.
42. Al-Rawahi, N. and G. Tryggvason, Numerical simulation of dendritic solidification with convection: two-dimensional geometry. Journal of Computational Physics, 2002. 180(2): p. 471-496.
43. Al-Rawahi, N. and G. Tryggvason, Numerical simulation of dendritic solidification with convection: Three-dimensional flow. Journal of Computational Physics, 2004. 194(2): p. 677-696.
44. Shin, S. and D. Juric, Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity. Journal of Computational Physics, 2002. 180(2): p. 427-470.
45. Patankar, S.V., Numerical Heat Transfer and Fluid Flow. 1980: McGraw-Hill.
46. Shyy, W., Computational modeling for fluid flow and interfacial transport. 1994: Elsevier New York.
47. Dussan, V.E.B., The moving contact line: slip boundary conditions. Journal of Fluid Mechanics, 1977. 77: p. 665-684.
48. Hocking, L.M., A moving interface on a rough surface. Journal of Fluid Mechanics, 1976. 76: p. 801-817.
49. Huang, H., D. Lian, and B. Wetton, Computation of a moving drop/bubble on a solid surface using a front tracking method. Communications in Mathematical Physics, 2004. 2(4): p. 535-552.
50. Fujioka, H. and J. Grotberg, Steady liquid plug flow in a 2-d channel. Faseb Journal, 2003. 17(4): p. A87-A87.
51. Fujioka, H. and J.B. Grotberg, Steady Propagation of a Liquid Plug in a Two-Dimensional Channel. Journal of Biomechanical Engineering, 2004. 126: p. 567.
52. Zheng, Y., H. Fujioka, J.C. Grotberg, and J.B. Grotberg, Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation. Journal of Biomechanical Engineering, 2006. 128: p. 707.
53. Jiang, X. and A.J. James, Numerical simulation of the head-on collision of two equal-sized drops with van der Waals forces. Journal of Engineering Mathematics, 2007. 59(1): p. 99-121.
54. Erneux, T. and S.H. Davis, Nonlinear rupture of free films. Physics of Fluids A: Fluid Dynamics, 1993. 5: p. 1117.
55. Veldman, A.E.P., J. Gerrits, R. Luppes, J.A. Helder, and J.P.B. Vreeburg, The numerical simulation of liquid sloshing on board spacecraft. Journal of Computational Physics, 2007. 224(1): p. 82-99.
56. Symons, E.P., Draining Characteristics of Hemispherically Bottomed Cylinders in a Low-Gravity Environment. 1978.
57. Berenyi, S.G., Vapor ingestion phenomenon in hemispherically bottomed tanks in normal gravity and in weightlessness. 1970.
58. Toole, L.E. and L.J. Hasting, An Experimental Study of the Behavior of a Sloshing Liquid Subjected to a Sudden Reduction in Acceleration. 1968, NASA.