A unified adaptive cartesian grid method for solid-multiphase fluid dynamics with moving boundaries

Collection of Technical Papers - 18th AIAA Computational Fluid Dynamics Conference

Volumn 2, Issue , 2007, Pages 2016-2034

  Uzgoren, Eray ^a,c   Sim, Jaeheon ^a,c   Singh, Rajkeshar ^b   Shyy, Wei ^a,c  

^a UNIVERSITY OF MICHIGAN   (United States)

^b GE GLOBAL RESEARCH   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE SYSTEMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; FUNCTION EVALUATION; HILBERT SPACES;

CARTESIAN GRIDS; FLAPPING AIRFOILS; MULTIPHASE FLUID DYNAMICS;

FLUID DYNAMICS;

EID: 35748948678     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2007-4576     Document Type: Conference Paper

References (42)

1. Uzgoren, E., R. Singh, J. Sim, and W. Shyy, Computational modeling for multiphase flow with spacecraft application, to appear in Progress in Aerospace Sciences, 2007.
2. 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.
3. 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.
4. Osher, S. and R.P. Fedkiw, Level set methods- An overview and some recent results. Journal of Computational Physics, 2001. 169(2): p. 463-502.
5. Osher, S. and R.P. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces. 2002: Springer.
6. Rider, W.J. and D.B. Kothe, Reconstructing volume tracking. Journal of Computational Physics, 1998. 141(2): p. 112-152.
7. 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.
8. 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).
9. 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.
10. Singh, R. and W. Shyy, Three-dimensional adaptive Cartesian grid method with conservative interface restructuring and reconstruction. Journal of Computational Physics, 2007.
11. 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.
12. 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.
13. Shyy, W., Multiphase computations using sharp and continuous interface techniques for micro-gravity applications. Comptes rendus. Mecanique 2004. 332(5-6): p. 375-386.
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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.
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. 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.
23. Symons, E.P., Draining Characteristics of Hemispherically Bottomed Cylinders in a Low-Gravity Environment. 1978.
24. Francois, M. and W. Shyy, Micro-scale drop dynamics for heat transfer enhancement. Progress in Aerospace Sciences, 2002. 38(4): p. 275-304.
25. Francois, M., E. Uzgoren, J. Jackson, and W. Shyy, Multigrid computations with the immersed boundary technique for multiphase flows. International Journal of Numerical Methods for Heat & Fluid Flow, 2004. 14(1): p. 98-115.
26. Chorin, A.J., Numerical Solution of the Navier-Stokes Equations. Mathematics of Computation, 1968. 22(104): p. 745-762.
27. 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.
28. 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.
29. 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.
30. 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.
31. Stockie, J.M., Analysis and Computation of Immersed Boundaries, with Application to Pulp Fibres, in Institute of Applied Mathematics. 1997, University of British Columbia.
32. 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.
33. Wang, Z. and Z.J. Wang, The Level Set Method on Adaptive Cartesian Grid For Interface Capturing. AIAA Paper No, 2004. 82.
34. 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.
35. 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.
36. 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.
37. 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.
38. Smith, B., P. Bjorstad, and W. Gropp, Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations. 2004: Cambridge University Press.
39. Aftosmis, M.J., M.J. Berger, and S.M. Murman, Applications of Space-Filling-Curves to Cartesian Methods for CFD. AIAA Paper, 2004. 1232: p. 2003-1237.
40. Berenyi, S.G.a. A.K.L., Vapor ingestion phenomenon in hemispherically bottomed tanks in normal gravity and in weightlessness. 1970.
41. Derdul J. D., G.L.S., and Petrash D. A. , Experimental Investigation of Liquid Outflow from Cylindrical Tanks during Weightlessness. 1966.
42. Chato, D.J., J. Marchetta, J.I. Hochstein, and K. M, Approaches to validation of models for low gravity fluid behavior, in 42nd Aerospace Sciences Meeting and Exhibit. 2004: Reno, Nevada.