The numerical simulation of liquid sloshing on board spacecraft

Journal of Computational Physics

Volumn 224, Issue 1, 2007, Pages 82-99

  Veldman, A E P ^a   Gerrits, J ^a   Luppes, R ^a   Helder, J A ^a   Vreeburg, J P B ^b  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b NATIONAL AEROSPACE LABORATORY NLR   (Netherlands)

Author keywords

Computational fluid dynamics; Free surface flow; Microgravity; Sloshing; Sloshsat FLEVO; Solid liquid interaction; Spacecraft dynamics

Indexed keywords

LIQUID SLOSHING; ORBITS;

CFD SIMULATIONS; EXPERIMENTAL APPROACHES; FREE-SURFACE FLOW; LIQUID SOLIDS; ON-BOARD SPACECRAFTS; SLOSHSAT FLEVO; SOLID BODIES; SOLID-LIQUID INTERACTION; SPACECRAFT DYNAMICS; THEORETICAL APPROACH;

COMPUTATIONAL FLUID DYNAMICS;

EID: 34248157212     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.12.020     Document Type: Article

References (57)

1. Apollo 11 Lunar Surface Journal, The first lunar landing; mission time 102:38:20, .
2. NEAR Anomaly Review Board, The NEAR Rendezvous Burn Anomaly of December 1998, Johns Hopkins University, Applied Physics Laboratory, November 1999.
3. J.J.M. Prins, Sloshsat FLEVO: Facility for liquid experimentation and verification in orbit, in: Proceedings of the 51st International Astronautical Congress, Rio de Janeiro, 2000, Paper IAF-00-J.2.05.
4. Vreeburg J.P.B., and Veldman A.E.P. Transient and sloshing motions in an unsupported container. In: Monti R. (Ed). Physics of Fluids in Microgravity (2002), Taylor and Francis Publishers 293-321
5. J.P.B. Vreeburg, Measured states of Sloshsat FLEVO, in: Proceedings of the 56th International Astronautical Congress, Fukuoka, 2005, Paper IAF-05-C1.2.09.
6. Yeung R.W. Numerical methods in free-surface flows. Ann. Rev. Fluid Mech. 12 (1982) 395-442
7. Tsai W., and Yue D.K.P. Computation of nonlinear free-surface flows. Ann. Rev. Fluid Mech. 28 (1996) 249-278
8. Scardovelli R., and Zaleski S. Direct numerical simulation of free-surface and interfacial flow. Ann. Rev. Fluid Mech. 31 (1999) 567-603
9. Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 (1965) 2182-2189
10. Juric D., and Tryggvason G. A front tracking method for dendritic solidification. J. Comput. Phys. 123 (1996) 127-148
11. Hirt C.W., and Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39 (1981) 201-225
12. Rider W.J., and Kothe D.B. Reconstructing volume tracking. J. Comput. Phys. 141 (1998) 112-152
13. Harvie D.J.E., and Fletcher D.F. A new volume of fluid advection scheme: the stream scheme. J. Comput. Phys. 162 (2000) 1-32
14. Rudman M. Volume-tracking methods for interfacial flow calculations. Int. J. Numer. Meth. Fluids 24 (1997) 671-691
15. J. Gerrits, Dynamics of liquid-filled spacecraft, Ph.D. thesis, University of Groningen, 2001. URL: dissertations.ub.rug.nl/faculties/science/2001/j.gerrits.
16. Kleefsman K.M.T., Fekken G., Veldman A.E.P., Iwanowski B., and Buchner B. A volume-of-fluid based simulation methods for wave impact problems. J. Comput. Phys. 206 (2005) 363-393
17. Engquist B., Runborg O., and Tornberg A.-K. High-frequency wave propagation by the segment projection method. J. Comput. Phys. 178 (2002) 373-390
18. Tornberg A.-K., and Engquist B. The segment projection method for interface tracking. Comm. Pure Appl. Math. 56 (2003) 47-79
19. D.L. Youngs, An interface tracking method for a 3d Eulerian hydrodynamics code, Technical Report AWRE/44/92/35, Atomic Weapons Research Establishment, 1987.
20. Yabe T., Xiao F., and Utsumi T. The constrained interpolation profile method for multiphase analysis. J. Comput. Phys. 169 (2001) 556-593
21. Osher S., and Sethian J.A. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12-49
22. Sethian J.A. Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Materials Science (1996), Cambridge University Press
23. W.J. Rider, D.B. Kothe, Stretching and Tearing Interface Tracking Methods, AIAA Paper 95-1717, 1995.
24. Sussman M., and Fatemi E. An efficient interface preweerving level set redistancing algorithm and its application to interfacial incompressible fluid flow. SIAM J. Sci. Comp. 20 (1999) 1165-1191
25. Enright D., Fedkiw R., Ferziger J., and Mitchell I. A hybrid particle level set method for improved interface capturing. J. Comput. Phys. 183 (2002) 83-116
26. Sussman M., and Puckett E.G. A coupled level set and volume-of-fluid method for computing 3d and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162 (2000) 301-337
27. van der Pijl S.P., Segal A., Vuik C., and Wesseling P. A mass-conserving level-set method for modelling of multi-phase flows. Int. J. Numer. Meth. Fluids 47 (2005) 339-361
28. Hirt C.W., Amsden A.A., and Cook J.L. An arbitrary Lagrangian-Eulerian method for all flow speeds. J. Comput. Phys. 14 (1974) 227-253
29. Monaghan J.J. Simulating free surface flows with SPH. J. Comput. Phys. 110 (1994) 399-406
30. Y. Andrillon, M. Doring, B. Alessandrini, P. Ferrant, Comparison between SPH and VOF free surface flow simulation, in: Proceedings of the 5th Numerical Towing Tank Symposium, 2002.
31. Popinet S., and Zaleski S. A front-tracking algorithm for accurate representation of surface tension. Int. J. Numer. Meth. Fluids 30 (1999) 775-793
32. Lorstadt D., Francois M.M., Shyy W., and Fuchs L. Assessment of volume of fluid and immersed boundary methods for droplet computations. Int. J. Numer. Meth. Fluids 46 (2004) 109-125
33. Cummins S.J., Francois M.M., and Kothe D.B. Estimating curvature from volume fractions. Comput. Struct. 83 (2005) 425-434
34. Francois M.M., Cummins S.J., Dendy E.D., Kothe D.B., Sicilian J.M., and Williams M.W. A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. J. Comput. Phys. 213 (2006) 141-173
35. Harvie D.J.E., Davidson M.R., and Rudman M. An analysis of parasitic current generation in volume of fluid simulations. Appl. Math. Model. 30 (2006) 1056-1066
36. Brackbill J.U., Kothe D.B., and Zemach C. A continuum method for modelling surface tension. J. Comput. Phys. 100 (1992) 335-354
37. Veldman A.E.P., and Vogels M.E.S. Axisymmetric liquid sloshing under low gravity conditions. Acta Astronaut. 11 (1984) 641-649
38. J.P.B. Vreeburg, The Wet Satellite Model experiment, Technical Report, TP 94169, NLR, Amsterdam, 1994.
39. Gerrits J., and Veldman A.E.P. Dynamics of liquid-filled spacecraft. J. Eng. Math. 45 (2003) 21-38
40. G. Fekken, Numerical Simulation of Free-surface Flow with Moving Objects, PhD thesis, University of Groningen, The Netherlands, 2004. URL: dissertations.ub.rug.nl/faculties/science/2004/g.fekken.
41. K.M.T. Kleefsman, Water Impact Loading on Offshore Structures - A Numerical Study, Ph.D. thesis, University of Groningen, The Netherlands, 2005. URL: dissertations.ub.rug.nl/faculties/science/2005/k.m.t.kleefsman.
42. G.E. Loots, Fluid-structure Interaction in Hemodynamics, Ph.D. thesis, University of Groningen, The Netherlands, 2003. URL: dissertations.ub.rug.nl/faculties/science/2003/g.e.loots.
43. Loots G.E., Hillen B., and Veldman A.E.P. The role of hemodynamics in the development of the outflow tract of the heart. J. Eng. Math. 45 (2003) 91-104
44. Maurits N.M., Loots G.E., and Veldman A.E.P. The influence of vessel wall elasticity and peripheral resistance on the flow wave form in the carotid artery: a CFD model compared to in-vivo ultrasound measurements. J. Biomech. 40 (2007) 427-436
45. van Mourik S., Veldman A.E.P., and Dreyer M.E. Simulation of capillary flow with a dynamic contact angle. Microgravity Sci. Techn. 17-3 (2005) 91-98
46. Yang G., Causon D.M., and Ingram D.M. Calculation of compressible flows about complex moving geometries using a Cartesian cut cell method. Int. J. Numer. Meth. Fluids 33 (2000) 1121-1151
47. Dröge M., and Verstappen R. A new symmetry-preserving Cartesian-grid method for computing flow past arbitrarily shaped objects. Int. J. Numer. Meth. Fluids 47 (2005) 979-985
48. Verstappen R.W.C.P., and Veldman A.E.P. Symmetry-preserving discretization of turbulent flow. J. Comput. Phys. 187 (2003) 343-368
49. A.E.P. Veldman, K.-W. Lam, Symmetry-preserving upwind discretization of convection on non-uniform grids, Appl. Num. Math. (accepted for publication).
50. Botta E.F.F., and Ellenbroek M.H.M. A modified SOR method for the Poisson equation in unsteady free-surface flow calculations. J. Comput. Phys. 60 (1985) 119-134
51. A.E.P. Veldman, M.E.S. Vogels, Axisymmetric liquid sloshing under low-g conditions: numerical simulation method - reference manual, Technical Report. TR 86057 U, National Aerospace Laboratory NLR, 1986.
52. Kothe D.B., and Mjolsness R.C. RIPPLE: a new model for incompressible flows with free surfaces. AIAA J. 30 11 (1992) 2692-2700
53. Veldman A.E.P. New, quasi-simultaneous method to calculate interacting boundary layers. AIAA J. 19 (1981) 79-85
54. Efroimsky M., Lazarian A., and Sidorenko V. Complex rotation with internal dissipation; application to cosmic-dust alignment and to wobbling comets and asteroids. In: Pandalai S.G. (Ed). Recent Research Developments in Astrophysics (2002), Research Signpost, India 59-116
55. R. Luppes, J.A. Helder, A.E.P. Veldman, Liquid sloshing in microgravity, in: Proceedings of the 56th International Astronautical Congress, Fukuoka, 2005, Paper IAF-05-A2.2.07.
56. R. Luppes, J.A. Helder, A.E.P. Veldman, The numerical simulation of liquid sloshing in microgravity, in: P. Wesseling, E. Oñate, J. Periaux (Eds.), Proceedings of the ECCOMAS CFD 2006, Egmond aan Zee, 2006.
57. E.B. Crellin, Nutation avoidance manoeuvre experiments on Sloshsat, unpublished document, ESA-Estec, August 2004.