Modelling cavitating flow around underwater missiles
2
조회
0
다운로드
4
인용
0
참고문헌
키워드
초록
The diffuse interface model of Saurel et al. (2008) is used for the computation of compressible cavitating flows around underwater missiles. Such systems use gas injection and natural cavitation to reduce drag effects. Consequently material interfaces appear separating liquid and gas. These interfaces may have a really complex dynamics such that only a few formulations are able to predict their evolution. Contrarily to front tracking or interface reconstruction method the interfaces are computed as diffused numerical zones, that are captured in a routinely manner, as is done usually with gas dynamics solvers for shocks and contact discontinuity. With the present approach, a single set of partial differential equations is solved everywhere, with a single numerical scheme. This leads to very efficient solvers. The algorithm derived in Saurel et al. (2009) is used to compute cavitation pockets around solid bodies. It is first validated against experiments done in cavitation tunnel at CNU. Then it is used to compute flows around high speed underwater systems (Shkval-like missile). Performance data are then computed showing method ability to predict forces acting on the system.
Abstract
The diffuse interface model of Saurel et al. (2008) is used for the computation of compressible cavitating flows around underwater missiles. Such systems use gas injection and natural cavitation to reduce drag effects. Consequently material interfaces appear separating liquid and gas. These interfaces may have a really complex dynamics such that only a few formulations are able to predict their evolution. Contrarily to front tracking or interface reconstruction method the interfaces are computed as diffused numerical zones, that are captured in a routinely manner, as is done usually with gas dynamics solvers for shocks and contact discontinuity. With the present approach, a single set of partial differential equations is solved everywhere, with a single numerical scheme. This leads to very efficient solvers. The algorithm derived in Saurel et al. (2009) is used to compute cavitation pockets around solid bodies. It is first validated against experiments done in cavitation tunnel at CNU. Then it is used to compute flows around high speed underwater systems (Shkval-like missile). Performance data are then computed showing method ability to predict forces acting on the system.
참고문헌 (24)
- Davis, S.F., "Simplified second order Godunov type methods", SIAM Journal on Scientific and Statistical Computing, 9, pp.445~473 (1988)
- Favrie, N, "Solid-fluid diffuse interface model in cases of extreme deformations", Journal of Computational Physics, 228(16), pp.6037~6077 (2008)
- Fedkiw, R, "A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)", Journal of Computational Physics, 15(2), pp.457~492 (1999)
- Glimm, J, "Three dimensional front tracking", SIAM Journal on Scientific and Statistical Computing, 19, pp.703~727 (1998)
- Hirt, C.W, "Volume Of Fluid (VOF) method for the dynamics of free boundaries", Journal of Computational Physics, 39, pp.201~255 (1981)
- Hou, T.Y, "Why non-conservative schemes converge to the wrong solution: error analysis", Mathematics of Computation, 62, pp.497~530 (1994)
- Kapila A.K, "Two-phase modeling of deflagration-todetonation transition in granular materials : Reduced equations", Physics of Fluids, 13(10), pp.3002~3024 (2001)
- Le Metayer, O, "Elaboration des lois d’état d’un liquide et de sa vapeur pour les modèles d’écoulements diphasiques", Int. J. Thermal Sciences, 43(3), pp.265~276 (2004)
- Le Metayer, O, "Modeling evaporation fronts with reactive Riemann solvers", Journal of Computational Physics, 205, pp.567~610 (2005)
- Miller, G.H, "A High-Order Godunov Method for Multiple Condensed Phases", Journal of Computational Physics, 128(1), pp.134~164 (1996)
- Noh, W.F, "Simple line interface calculation", Proceedings of the fifth international conference on numerical methods in fluid dynamics, 통권 : 59, pp.330~340 (1976)
- Perigaud, G, "A compressible flow model with capillary effects", Journal of Computational Physics, 209, pp.139~178 (2005)
- Petitpas, F, "Diffuse interface model for high speed cavitating underwater systems", International Journal of Multiphase Flow, 35(8), pp.747~759 (2009)
- Petitpas, F, "Modelling detonation waves in condensed materials: Multiphase CJ conditions and multidimensional computations", Shock Waves, 19(5), pp.377~401 (2009)
- Saurel, R, "Numerical study of cavitation in the wake of a hypervelocity underwater projectile", Journal of Propulsion and Power, 15(4), pp.513~522 (1999)
- Saurel, R, "A multiphase Godunov method for multifluid and multiphase flows", Journal of Computational Physics, 150, pp.425~467 (1999)
- Saurel, R, "A multiphase model for interfaces, shocks, detonation waves and cavitation", Journal of Fluid Mechanics, 431, pp.239~271 (2001)
- Saurel, R, "Shock jump relations for multiphase mixtures with stiff mechanical relaxation", Shock Waves, 16(3), pp.209~232 (2007)
- Saurel, R, "Modeling phase transition in metastable liquids. Application to cavitating and flashing flows", Journal of Fluid Mechanics, 607, pp.313~350 (2008)
- Saurel, R, "Simple and efficient relaxation for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures", Journal of Computational Physics, 228, pp.1678~1712 (2009)
- Saurel, R, "Modeling dynamic and irreversible powder compaction", Journal of Fluid Mechanics, 664, pp.348~396 (2010)
- Toro, E.F, "Restoration of the contact surface in the HLL-Riemann solver", Shock Waves, 4, pp.25~34 (1994)
- Von Neuman, J, "A method for the numerical calculation of hydrodynamic shocks", Journal of Appl. Phys, 21, pp.232~237 (1950)
- Wood, A.B., "A textbook of sound" (1930), Bell and Sons Ltd
