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2020 | OriginalPaper | Chapter

7. A Levelset-Based Sharp-Interface Modified Ghost Fluid Method for High-Speed Multiphase Flows and Multi-Material Hypervelocity Impact

Authors : Pratik Das, Nirmal K. Rai, H. S. Udaykumar

Published in: Immersed Boundary Method

Publisher: Springer Singapore

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Abstract

Multi-material compressible flows are ubiquitous in industrial, defense, and environmental applications. The widely varied range of applications encompasses high-speed multiphase combustion in solid-propellant rocket motors, high-speed manufacturing processes, target–munition interactions, geological impact, and many more. Major challenges in modeling such systems lie in preserving the material interface definition while simultaneously satisfying the interfacial boundary conditions accurately. In this chapter, a levelset-based sharp-interface method is described for general classes of multi-material compressible flows problems. In this framework, the interface definition is retained sharply, while interfacial jump conditions are prescribed through a high-accuracy modified ghost fluid method. The application of the framework is demonstrated for several multi-material flow problems such as shock–particle interactions, shock–droplet interaction, shock-induced void collapse in energetic materials, and shock compaction of metallic powders. The chapter will describe the levelset-based framework for high-speed multiphase flows and shows its application to a broad spectrum of problems of engineering interest.

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Literature
go back to reference Artemieva NA, Shuvalov VV (2008) Numerical simulation of high-velocity impact ejecta following falls of comets and asteroids onto the Moon. Sol Syst Res 42(4):329–334CrossRef Artemieva NA, Shuvalov VV (2008) Numerical simulation of high-velocity impact ejecta following falls of comets and asteroids onto the Moon. Sol Syst Res 42(4):329–334CrossRef
go back to reference Boiko VM et al (1997) Shock wave interaction with a cloud of particles. Shock Waves 7(5):275–285MATHCrossRef Boiko VM et al (1997) Shock wave interaction with a cloud of particles. Shock Waves 7(5):275–285MATHCrossRef
go back to reference Bürger D et al (2012) Ballistic impact simulation of an armour-piercing projectile on hybrid ceramic/fiber reinforced composite armours. Int J Impact Eng 43:63–77CrossRef Bürger D et al (2012) Ballistic impact simulation of an armour-piercing projectile on hybrid ceramic/fiber reinforced composite armours. Int J Impact Eng 43:63–77CrossRef
go back to reference Chaudhuri A et al (2013) Numerical study of shock-wave mitigation through matrices of solid obstacles. Shock Waves 23(1):91–101CrossRef Chaudhuri A et al (2013) Numerical study of shock-wave mitigation through matrices of solid obstacles. Shock Waves 23(1):91–101CrossRef
go back to reference Das P et al (2017) A sharp interface Cartesian grid method for viscous simulation of shocked particle-laden flows. Int J Comput Fluid Dyn 31(6–8):1–23 Das P et al (2017) A sharp interface Cartesian grid method for viscous simulation of shocked particle-laden flows. Int J Comput Fluid Dyn 31(6–8):1–23
go back to reference Das P, UdayKumar HS (2019) A sharp-interface method for the simulation of shock-induced vaporization of droplets. J Comp Phys (in press) Das P, UdayKumar HS (2019) A sharp-interface method for the simulation of shock-induced vaporization of droplets. J Comp Phys (in press)
go back to reference Das P et al (2018a) Metamodels for interphase heat transfer from mesoscale simulations of Shock-Cylinder Interactions. AIAA Journal 56(10):3975–3987CrossRef Das P et al (2018a) Metamodels for interphase heat transfer from mesoscale simulations of Shock-Cylinder Interactions. AIAA Journal 56(10):3975–3987CrossRef
go back to reference Das P et al (2018b) Strategies for efficient machine learning of surrogate drag models from three-dimensional mesoscale computations of shocked particulate flows. Int J Multiph Flow 108:51–68MathSciNetCrossRef Das P et al (2018b) Strategies for efficient machine learning of surrogate drag models from three-dimensional mesoscale computations of shocked particulate flows. Int J Multiph Flow 108:51–68MathSciNetCrossRef
go back to reference Dongmo E, Wenzelburger M, Gadow R (2008) Analysis and optimization of the HVOF process by combined experimental and numerical approaches. Surf Coat Technol 202(18):4470–4478CrossRef Dongmo E, Wenzelburger M, Gadow R (2008) Analysis and optimization of the HVOF process by combined experimental and numerical approaches. Surf Coat Technol 202(18):4470–4478CrossRef
go back to reference Eakins D, Thadhani NN (2006) Shock-induced reaction in a flake nickel + spherical aluminum powder mixture. J Appl Phys 100(11):113521CrossRef Eakins D, Thadhani NN (2006) Shock-induced reaction in a flake nickel + spherical aluminum powder mixture. J Appl Phys 100(11):113521CrossRef
go back to reference Eakins DE, Thadhani NN (2008a) The shock-densification behavior of three distinct Ni + Al powder mixtures. Appl Phys Lett 92(11):111903CrossRef Eakins DE, Thadhani NN (2008a) The shock-densification behavior of three distinct Ni + Al powder mixtures. Appl Phys Lett 92(11):111903CrossRef
go back to reference Eakins DE, Thadhani NN (2008b) Mesoscale simulation of the configuration-dependent shock-compression response of Ni + Al powder mixtures. Acta Mater 56(7):1496–1510CrossRef Eakins DE, Thadhani NN (2008b) Mesoscale simulation of the configuration-dependent shock-compression response of Ni + Al powder mixtures. Acta Mater 56(7):1496–1510CrossRef
go back to reference Eakins DE, Thadhani NN (2009) Shock compression of reactive powder mixtures. Int Mater Rev 54(4):181–213CrossRef Eakins DE, Thadhani NN (2009) Shock compression of reactive powder mixtures. Int Mater Rev 54(4):181–213CrossRef
go back to reference Fedkiw RP et al (1999) A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost Fluid Method). J Comput Phys 152(2):457–492MathSciNetMATHCrossRef Fedkiw RP et al (1999) A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost Fluid Method). J Comput Phys 152(2):457–492MathSciNetMATHCrossRef
go back to reference Field John E et al (1992) Hot-spot ignition mechanisms for explosives and propellants. Philos Trans R Soc London Ser A: Phys Eng Sci 339(1654):269–283 Field John E et al (1992) Hot-spot ignition mechanisms for explosives and propellants. Philos Trans R Soc London Ser A: Phys Eng Sci 339(1654):269–283
go back to reference Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39(1):201–225MATHCrossRef Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39(1):201–225MATHCrossRef
go back to reference Houim RW (2011) Modeling the influence of shock waves on the combustion of aluminum droplets Houim RW (2011) Modeling the influence of shock waves on the combustion of aluminum droplets
go back to reference Houim RW, Kuo KK (2013) A ghost fluid method for compressible reacting flows with phase change. J Comput Phys 235:865–900MathSciNetCrossRef Houim RW, Kuo KK (2013) A ghost fluid method for compressible reacting flows with phase change. J Comput Phys 235:865–900MathSciNetCrossRef
go back to reference Huang Y et al (2009) Effect of particle size on combustion of aluminum particle dust in air. Combust Flame 156(1):5–13CrossRef Huang Y et al (2009) Effect of particle size on combustion of aluminum particle dust in air. Combust Flame 156(1):5–13CrossRef
go back to reference Jamaluddin AR et al (2011) The collapse of single bubbles and approximation of the far-field acoustic emissions for cavitation induced by shock wave lithotripsy. J Fluid Mech 677:305–341MathSciNetMATHCrossRef Jamaluddin AR et al (2011) The collapse of single bubbles and approximation of the far-field acoustic emissions for cavitation induced by shock wave lithotripsy. J Fluid Mech 677:305–341MathSciNetMATHCrossRef
go back to reference Khan A, Huang S (1995) Continuum theory of plasticity. Wiley, New YorkMATH Khan A, Huang S (1995) Continuum theory of plasticity. Wiley, New YorkMATH
go back to reference Marusich TD, Ortiz M (1995) Modelling and simulation of high-speed machining. Int J Numer Meth Eng 38(21):3675–3694MATHCrossRef Marusich TD, Ortiz M (1995) Modelling and simulation of high-speed machining. Int J Numer Meth Eng 38(21):3675–3694MATHCrossRef
go back to reference Mayer W, Tamura H (1996) Propellant injection in a liquid oxygen/gaseous hydrogen rocket engine. J Propul Power 12(6):1137–1147CrossRef Mayer W, Tamura H (1996) Propellant injection in a liquid oxygen/gaseous hydrogen rocket engine. J Propul Power 12(6):1137–1147CrossRef
go back to reference Mehta Y et al (2016) Shock interaction with three-dimensional face centered cubic array of particles. Phys Rev Fluids 1(5):054202MathSciNetCrossRef Mehta Y et al (2016) Shock interaction with three-dimensional face centered cubic array of particles. Phys Rev Fluids 1(5):054202MathSciNetCrossRef
go back to reference Meyers MA (1994) Dynamic behavior of materials. Wiley, New York Meyers MA (1994) Dynamic behavior of materials. Wiley, New York
go back to reference Mousel J (2012) A massively parallel adaptive sharp interface solver with application to mechanical heart valve simulations. Theses and Dissertations Mousel J (2012) A massively parallel adaptive sharp interface solver with application to mechanical heart valve simulations. Theses and Dissertations
go back to reference Nesterenko VF et al (1994) Controlled high-rate localized shear in porous reactive media. Appl Phys Lett 65(24):3069–3071CrossRef Nesterenko VF et al (1994) Controlled high-rate localized shear in porous reactive media. Appl Phys Lett 65(24):3069–3071CrossRef
go back to reference Osher S, Sethian JA (1988) Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79(1):12–49MathSciNetMATHCrossRef Osher S, Sethian JA (1988) Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79(1):12–49MathSciNetMATHCrossRef
go back to reference Ponthot JP (2002) Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes. Int J Plast 18(1):91–126 Ponthot JP (2002) Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes. Int J Plast 18(1):91–126
go back to reference Powell OA et al (2001) Development of hydrocarbon-fueled scramjet engines: the hypersonic technology (HyTech) program. J Propul Power 17(6):1170–1176CrossRef Powell OA et al (2001) Development of hydrocarbon-fueled scramjet engines: the hypersonic technology (HyTech) program. J Propul Power 17(6):1170–1176CrossRef
go back to reference Rai NK, Kapahi A, Udaykumar HS (2014) Treatment of contact separation in Eulerian high-speed multimaterial dynamic simulations. Int J Numer Meth Eng 100(11):793–813MathSciNetMATHCrossRef Rai NK, Kapahi A, Udaykumar HS (2014) Treatment of contact separation in Eulerian high-speed multimaterial dynamic simulations. Int J Numer Meth Eng 100(11):793–813MathSciNetMATHCrossRef
go back to reference Regele JD et al (2014) Unsteady effects in dense, high speed, particle laden flows. Int J Multiph Flow 61:1–13CrossRef Regele JD et al (2014) Unsteady effects in dense, high speed, particle laden flows. Int J Multiph Flow 61:1–13CrossRef
go back to reference Sambasivan SK, UdayKumar HS (2009) Ghost fluid method for strong shock interactions Part 1: fluid-fluid interfaces. AIAA J 47(12):2907–2922CrossRef Sambasivan SK, UdayKumar HS (2009) Ghost fluid method for strong shock interactions Part 1: fluid-fluid interfaces. AIAA J 47(12):2907–2922CrossRef
go back to reference Sambasivan S, Kapahi A, Udaykumar HS (2013) Simulation of high speed impact, penetration and fragmentation problems on locally refined Cartesian grids. J Comput Phys 235:334–370MathSciNetMATHCrossRef Sambasivan S, Kapahi A, Udaykumar HS (2013) Simulation of high speed impact, penetration and fragmentation problems on locally refined Cartesian grids. J Comput Phys 235:334–370MathSciNetMATHCrossRef
go back to reference Scardovelli R, Zaleski S (2000) Analytical relations connecting linear interfaces and volume fractions in rectangular grids. J Comput Phys 164(1):228–237MathSciNetMATHCrossRef Scardovelli R, Zaleski S (2000) Analytical relations connecting linear interfaces and volume fractions in rectangular grids. J Comput Phys 164(1):228–237MathSciNetMATHCrossRef
go back to reference Shiv Kumar S, UdayKumar HS (2009) Ghost fluid method for strong shock interactions Part 2: immersed solid boundaries. AIAA j 47(12):2923–2937CrossRef Shiv Kumar S, UdayKumar HS (2009) Ghost fluid method for strong shock interactions Part 2: immersed solid boundaries. AIAA j 47(12):2923–2937CrossRef
go back to reference Shu C-W, Osher S (1989) Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. In: Hussaini PMY , Leer PBV, Rosendale DJV (eds) Upwind and high-resolution schemes. Springer, Berlin, pp 328–374 Shu C-W, Osher S (1989) Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. In: Hussaini PMY , Leer PBV, Rosendale DJV (eds) Upwind and high-resolution schemes. Springer, Berlin, pp 328–374
go back to reference Sussman M, Smereka P, Osher S (1994) A level set approach for computing solutions to incompressible two-phase flow. J Comput Phys 114(1):146–159MATHCrossRef Sussman M, Smereka P, Osher S (1994) A level set approach for computing solutions to incompressible two-phase flow. J Comput Phys 114(1):146–159MATHCrossRef
go back to reference Sussman M et al (1998) An improved level set method for incompressible two-phase flows. Comput Fluids 27(5–6):663–680MATHCrossRef Sussman M et al (1998) An improved level set method for incompressible two-phase flows. Comput Fluids 27(5–6):663–680MATHCrossRef
go back to reference Tamura S, Horie Y (1998) Discrete meso-dynamic simulation of thermal explosion in shear bands. J Appl Phys 84(7):3574–3580CrossRef Tamura S, Horie Y (1998) Discrete meso-dynamic simulation of thermal explosion in shear bands. J Appl Phys 84(7):3574–3580CrossRef
go back to reference Tarver CM, Chidester SK, Nichols AL (1996) critical conditions for impact- and shock-induced hot spots in solid explosives. J Phys Chem 100(14):5794–5799CrossRef Tarver CM, Chidester SK, Nichols AL (1996) critical conditions for impact- and shock-induced hot spots in solid explosives. J Phys Chem 100(14):5794–5799CrossRef
go back to reference Thadhani NN (1988) Shock compression processing of powders. Adv Mater Manuf Process 3(4):493–549 Thadhani NN (1988) Shock compression processing of powders. Adv Mater Manuf Process 3(4):493–549
go back to reference Unverdi SO, Tryggvason G (1992) A front-tracking method for viscous, incompressible, multi-fluid flows. J Comput Phys 100(1):25–37MATHCrossRef Unverdi SO, Tryggvason G (1992) A front-tracking method for viscous, incompressible, multi-fluid flows. J Comput Phys 100(1):25–37MATHCrossRef
go back to reference Verwer JG, Sommeijer BP, Hundsdorfer W (2004) RKC time-stepping for advection—diffusion—reaction problems. J Comput Phys 201(1):61–79MathSciNetMATHCrossRef Verwer JG, Sommeijer BP, Hundsdorfer W (2004) RKC time-stepping for advection—diffusion—reaction problems. J Comput Phys 201(1):61–79MathSciNetMATHCrossRef
Metadata
Title
A Levelset-Based Sharp-Interface Modified Ghost Fluid Method for High-Speed Multiphase Flows and Multi-Material Hypervelocity Impact
Authors
Pratik Das
Nirmal K. Rai
H. S. Udaykumar
Copyright Year
2020
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-3940-4_7

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