Statistical modeling of the gas–liquid interface using geometrical variables: Toward a unified description of the disperse and separated phase flows

•Statistical formalism for gas–liquid interface based on geometrical properties.•Link of local interface geometry with NDF of objects using topological invariants.•Algorithm to compute average geometrical properties preserving the topological invariants.•Assessment on DNS post-processing with and wi...

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Published in:	International journal of multiphase flow Vol. 120; p. 103084
Main Authors:	Mohamed, Essadki, Florence, Drui, Stéphane, de Chaisemartin, Adam, Larat, Thibault, Ménard, Marc, Massot
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.11.2019 Elsevier
Subjects:	computational geometry Differential Geometry disperse/separated phases Engineering Sciences Fluid mechanics gas-liquid interface Gauss-Bonnet formula Mathematics Mechanics moments method Numerical Analysis Physics Reactive fluid environment surface and number density function surface and number density function 76A99 76T10 disperse/separated phases 35Q35 65D99 computational geometry Gauss-Bonnet formula 53A17 gas-liquid interface moments method Gauss- Bonnet formula surface and number density function 2010 MSC: 76T10
ISSN:	0301-9322, 1879-3533
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Abstract	•Statistical formalism for gas–liquid interface based on geometrical properties.•Link of local interface geometry with NDF of objects using topological invariants.•Algorithm to compute average geometrical properties preserving the topological invariants.•Assessment on DNS post-processing with and without topological changes.•NDF obtained for non-spherical objects in the proposed geometrical phase space. In this work, we investigate an original strategy in order to derive a statistical modeling of the interface in gas–liquid two-phase flows through geometrical variables. The contribution is two-fold. First it participates in the theoretical design of a unified reduced-order model for the description of two regimes: a disperse phase in a carrier fluid and two separated phases. The first idea is to propose a statistical description of the interface relying on geometrical properties, such as the mean and Gauss curvatures, and to define an associated Surface Density Function (SDF). The second main idea consists in using such a formalism in the disperse case, where a clear link is proposed between local statistics of the interface and the statistics of countable objects, such as a number density function. To this end we make essential the use of topological invariants in geometry through the Gauss-Bonnet formula. This strategy strictly includes the works conducted on sprays of spherical droplets, but it also yields a statistical treatment of populations of non-spherical objects, such as ligaments, as long as they are homeomorphic to a sphere. Second, we propose an original statistical post-processing of DNS data of interfacial flows. Starting from the proposed theoretical approach, we identify a kernel for the spatial averaging of geometrical quantities which preserves the topological invariants. Coupled to a new algorithm for the evaluation of the surface and its curvatures, that also preserves these invariants, we analyze two sets of DNS results obtained with the ARCHER code from CORIA, with and without topological changes, and assess the approach. Indeed, this procedure allows us to transform the interfacial information provided by a Level-Set function into a number distribution of a collection of objects in the proper geometrical phase space.
AbstractList	•Statistical formalism for gas–liquid interface based on geometrical properties.•Link of local interface geometry with NDF of objects using topological invariants.•Algorithm to compute average geometrical properties preserving the topological invariants.•Assessment on DNS post-processing with and without topological changes.•NDF obtained for non-spherical objects in the proposed geometrical phase space. In this work, we investigate an original strategy in order to derive a statistical modeling of the interface in gas–liquid two-phase flows through geometrical variables. The contribution is two-fold. First it participates in the theoretical design of a unified reduced-order model for the description of two regimes: a disperse phase in a carrier fluid and two separated phases. The first idea is to propose a statistical description of the interface relying on geometrical properties, such as the mean and Gauss curvatures, and to define an associated Surface Density Function (SDF). The second main idea consists in using such a formalism in the disperse case, where a clear link is proposed between local statistics of the interface and the statistics of countable objects, such as a number density function. To this end we make essential the use of topological invariants in geometry through the Gauss-Bonnet formula. This strategy strictly includes the works conducted on sprays of spherical droplets, but it also yields a statistical treatment of populations of non-spherical objects, such as ligaments, as long as they are homeomorphic to a sphere. Second, we propose an original statistical post-processing of DNS data of interfacial flows. Starting from the proposed theoretical approach, we identify a kernel for the spatial averaging of geometrical quantities which preserves the topological invariants. Coupled to a new algorithm for the evaluation of the surface and its curvatures, that also preserves these invariants, we analyze two sets of DNS results obtained with the ARCHER code from CORIA, with and without topological changes, and assess the approach. Indeed, this procedure allows us to transform the interfacial information provided by a Level-Set function into a number distribution of a collection of objects in the proper geometrical phase space. In this work, we investigate an original strategy in order to derive a statistical modeling of the interface in gas-liquid two-phase flows through geometrical variables. The contribution is twofold. First it participates in the theoretical design of a unified reduced-order model for the description of two regimes: a disperse phase in a carrier fluid and two separated phases. The first idea is to propose a statistical description of the interface relying on geometrical properties such as the mean and Gauss curvatures and define a Surface Density Function (SDF). The second main idea consists in using such a formalism in the disperse case, where a clear link is proposed between local statistics of the interface and the statistics on objects, such as the number density function in Williams-Boltzmann equation for droplets. This makes essential the use of topolog-ical invariants in geometry through the Gauss-Bonnet formula and allows to include the works conducted on sprays of spherical droplets. It yields a statistical treatment of populations of non-spherical objects such as ligaments, as long as they are home-omorphic to a sphere. Second, it provides an original angle and algorithm in order to build statistics from DNS data of interfacial flows. From the theoretical approach, we identify a kernel for the spatial averaging of geometrical quantities preserving the topological invariants. Coupled to a new algorithm for the evaluation of curvatures and surface that preserves these invariants, we analyze two sets of DNS results conducted with the ARCHER code from CORIA with and without topological changes and assess the approach.
ArticleNumber	103084
Author	Florence, Drui Adam, Larat Thibault, Ménard Marc, Massot Stéphane, de Chaisemartin Mohamed, Essadki
Author_xml	– sequence: 1 givenname: Essadki surname: Mohamed fullname: Mohamed, Essadki organization: IFP Energies Nouvelles, 1–4 Avenue du Bois Préau, Rueil-Malmaison 92852, France – sequence: 2 givenname: Drui surname: Florence fullname: Florence, Drui organization: EM2C, UPR 288 - CNRS, CentraleSupélec, Université Paris-Saclay, 3, rue Joliot-Curie Gif-sur-Yvette 91190 France – sequence: 3 givenname: de Chaisemartin surname: Stéphane fullname: Stéphane, de Chaisemartin organization: IFP Energies Nouvelles, 1–4 Avenue du Bois Préau, Rueil-Malmaison 92852, France – sequence: 4 givenname: Larat surname: Adam fullname: Adam, Larat organization: EM2C, UPR 288 - CNRS, CentraleSupélec, Université Paris-Saclay, 3, rue Joliot-Curie Gif-sur-Yvette 91190 France – sequence: 5 givenname: Ménard surname: Thibault fullname: Thibault, Ménard organization: CORIA, UMR 6614 - Normandie Université, CNRS, Université et INSA de Rouen, Site Universitaire du Madrillet, BP 12, Saint-Etienne-du-Rouvray cedex 76801, France – sequence: 6 givenname: Massot surname: Marc fullname: Marc, Massot email: marc.massot@polytechnique.edu organization: EM2C, UPR 288 - CNRS, CentraleSupélec, Université Paris-Saclay, 3, rue Joliot-Curie Gif-sur-Yvette 91190 France
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Cites_doi	10.1016/j.jcp.2013.04.027 10.4208/cicp.021213.140514a 10.1017/jfm.2019.538 10.1016/j.ijmultiphaseflow.2014.12.004 10.1016/j.ijmultiphaseflow.2006.11.001 10.1103/PhysRevFluids.2.014005 10.1007/978-3-662-05105-4_2 10.1016/j.compfluid.2017.04.023 10.1615/AtomizSpr.2014011350 10.1063/1.1724379 10.1016/j.ijmultiphaseflow.2008.11.005 10.1016/j.jcp.2014.05.032 10.1007/s10494-012-9416-x 10.1137/16M1108364 10.1016/j.ijmultiphaseflow.2018.10.004 10.1080/10867651.2003.10487582 10.1016/j.ijmultiphaseflow.2018.06.010 10.1016/j.ijmultiphaseflow.2009.02.014 10.1137/130926006 10.1016/j.jcp.2016.08.017 10.1006/jcph.2001.6951 10.1088/0031-8949/2013/T155/014050 10.1017/S0022112090003536 10.7717/peerj.453 10.1137/0150038 10.2516/ogst/2016012 10.1007/s10494-012-9440-x 10.1006/jcph.2000.6636 10.4208/cicp.300615.050216a 10.1016/0021-9991(74)90051-5 10.1023/A:1011178417620 10.2514/1.B34862 10.1016/0020-7225(88)90004-3 10.1016/j.jcp.2017.02.003 10.1615/AtomizSpr.2013007679 10.1016/0021-9991(81)90145-5 10.1016/j.jcp.2004.07.019 10.1615/AtomizSpr.2015011204 10.1137/080740027 10.1063/1.526446
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Keywords	surface and number density function 76A99 76T10 disperse/separated phases 35Q35 65D99 computational geometry Gauss-Bonnet formula 53A17 gas-liquid interface moments method Gauss- Bonnet formula surface and number density function 2010 MSC: 76T10
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References	Kah (bib0026) 2010 Vallet, Burluka, Borghi (bib0051) 2001; 11 Mead, Papanicolaou (bib0037) 1984; 25 Ling, Fuster, Zaleski, Tryggvason (bib0034) 2017; 2 Emre, Kah, Jay, Tran, Velghe, De Chaisemartin, Laurent, Massot (bib0016) 2015; 25 Kah, Emre, Tran, de Chaisemartin, Jay, Laurent, Massot (bib0027) 2015; 71 Drui, Kokh, Larat, Massot (bib0015) 2019; 876 Massot, Kumar, Gomez, Smooke (bib0035) 1998 Vallet, Borghi (bib0050) 1999; 327 van der Walt, Schönberger, Nunez-Iglesias, Boulogne, Warner, Yager, Gouillart, Yu (bib0055) 2014; 2 Abbena, Salamon, Gray (bib0001) 2006 Desjardins, McCaslin, Owkes, Brady (bib0010) 2013; 23 Drew (bib0014) 1990; 50 Ashgriz, Poo (bib0002) 1990; 221 Laurent, Sibra, Doisneau (bib0030) 2016; 20 Bird (bib0004) 1994; 42 Osher, Fedkiw (bib0043) 2001; 169 Morel (bib0040) 2015; vol. 114 Ghods, Herrmann (bib0021) 2013; 2013 Sibra, Dupays, Murrone, Laurent, Massot (bib0047) 2017; 339 Pope (bib0044) 1988; 6 Essadki, de Chaisemartin, Laurent, Massot (bib0017) 2018; 78 Williams (bib0056) 1958; 1 Meyer, Desbrun, Schröder, Barr (bib0039) 2003 Sabat, Vié, Larat, Massot (bib0046) 2019; 112 Ishii (bib0025) 1975 Hirt, Nichols (bib0024) 1981; 39 Kang, Fedkiw, Liu (bib0028) 2000; 15 Canu, Puggelli, Essadki, Duret, Menard, Massot, Reveillon, Demoulin (bib0006) 2018; 107 Murrone, Guillard (bib0041) 2005; 205 Le Touze (bib0032) 2015 Tagliani (bib0048) 1999; 105 Bourlioux (bib0005) 1995 Chanteperdrix, Villedieu, Vila (bib0008) 2002 Devassy, Habchi, Daniel (bib0011) 2015; 25 Doisneau, Sibra, Dupays, Murrone, Laurent, Massot (bib0012) 2014; 3 Essadki, de Chaisemartin, Massot, Laurent, Larat, Jay (bib0018) 2016; 71 Fuster, Bagué, Boeck, Moyne, Leboissetier, Popinet, Ray, Scardovelli, Zaleski (bib0019) 2009; 35 Thomas, Hélio, Antônio Wilson, Geovan (bib0049) 2003; 8 Vié, Doisneau, Massot (bib0053) 2015; 17 Massot, Laurent, Kah, de Chaisemartin (bib0036) 2010; 70 Menard, Tanguy, Berlemont (bib0038) 2007; 33 Yuan, Laurent, Fox (bib0057) 2012; 51 Hirt, Amsden, Cook (bib0023) 1974; 14 Lebas, Menard, Beau, Berlemont, Demoulin (bib0033) 2009; 35 Nguyen, Laurent, Fox, Massot (bib0042) 2016; 325 Sabat (bib0045) 2016 Bernard-Champmartin, De Vuyst (bib0003) 2014; 274 Vaudor, Ménard, Aniszewski, Doring, Berlemont (bib0052) 2017; 152 Drew, Passman (bib0013) 1999; vol. 135 Kindlmann, Whitaker, Tasdizen, Moller (bib0029) 2003 Le Chenadec, Pitsch (bib0031) 2013; 249 Gavrilyuk, Saurel (bib0020) 2002; 175 de Chaisemartin, Fréret, Kah, Laurent, Fox, Reveillon, Massot (bib0007) 2009; 337 Descombes, Duarte, Dumont, Laurent, Louvet, Massot (bib0009) 2014; 52 Hannebique, Sierra, Riber, Cuenot (bib0022) 2013; 90 Vié, Jay, Cuenot, Massot (bib0054) 2013; 90 Kah (10.1016/j.ijmultiphaseflow.2019.103084_bib0027) 2015; 71 Ishii (10.1016/j.ijmultiphaseflow.2019.103084_bib0025) 1975 Meyer (10.1016/j.ijmultiphaseflow.2019.103084_bib0039) 2003 Tagliani (10.1016/j.ijmultiphaseflow.2019.103084_bib0048) 1999; 105 Devassy (10.1016/j.ijmultiphaseflow.2019.103084_bib0011) 2015; 25 Vaudor (10.1016/j.ijmultiphaseflow.2019.103084_bib0052) 2017; 152 Essadki (10.1016/j.ijmultiphaseflow.2019.103084_bib0017) 2018; 78 Lebas (10.1016/j.ijmultiphaseflow.2019.103084_bib0033) 2009; 35 Ghods (10.1016/j.ijmultiphaseflow.2019.103084_bib0021) 2013; 2013 Kindlmann (10.1016/j.ijmultiphaseflow.2019.103084_bib0029) 2003 Murrone (10.1016/j.ijmultiphaseflow.2019.103084_bib0041) 2005; 205 Williams (10.1016/j.ijmultiphaseflow.2019.103084_bib0056) 1958; 1 Bourlioux (10.1016/j.ijmultiphaseflow.2019.103084_bib0005) 1995 Bird (10.1016/j.ijmultiphaseflow.2019.103084_bib0004) 1994; 42 Drew (10.1016/j.ijmultiphaseflow.2019.103084_bib0013) 1999; vol. 135 Massot (10.1016/j.ijmultiphaseflow.2019.103084_bib0036) 2010; 70 Laurent (10.1016/j.ijmultiphaseflow.2019.103084_bib0030) 2016; 20 Canu (10.1016/j.ijmultiphaseflow.2019.103084_bib0006) 2018; 107 Chanteperdrix (10.1016/j.ijmultiphaseflow.2019.103084_bib0008) 2002 Ling (10.1016/j.ijmultiphaseflow.2019.103084_bib0034) 2017; 2 Essadki (10.1016/j.ijmultiphaseflow.2019.103084_bib0018) 2016; 71 Hannebique (10.1016/j.ijmultiphaseflow.2019.103084_bib0022) 2013; 90 Massot (10.1016/j.ijmultiphaseflow.2019.103084_bib0035) 1998 Vallet (10.1016/j.ijmultiphaseflow.2019.103084_bib0051) 2001; 11 Emre (10.1016/j.ijmultiphaseflow.2019.103084_bib0016) 2015; 25 Drui (10.1016/j.ijmultiphaseflow.2019.103084_bib0015) 2019; 876 de Chaisemartin (10.1016/j.ijmultiphaseflow.2019.103084_sbref0007) 2009; 337 Kah (10.1016/j.ijmultiphaseflow.2019.103084_sbref0026) 2010 Vallet (10.1016/j.ijmultiphaseflow.2019.103084_bib0050) 1999; 327 Nguyen (10.1016/j.ijmultiphaseflow.2019.103084_bib0042) 2016; 325 Drew (10.1016/j.ijmultiphaseflow.2019.103084_bib0014) 1990; 50 Vié (10.1016/j.ijmultiphaseflow.2019.103084_bib0054) 2013; 90 Mead (10.1016/j.ijmultiphaseflow.2019.103084_bib0037) 1984; 25 Doisneau (10.1016/j.ijmultiphaseflow.2019.103084_bib0012) 2014; 3 van der Walt (10.1016/j.ijmultiphaseflow.2019.103084_bib0055) 2014; 2 Descombes (10.1016/j.ijmultiphaseflow.2019.103084_bib0009) 2014; 52 Sabat (10.1016/j.ijmultiphaseflow.2019.103084_bib0046) 2019; 112 Sibra (10.1016/j.ijmultiphaseflow.2019.103084_bib0047) 2017; 339 Thomas (10.1016/j.ijmultiphaseflow.2019.103084_bib0049) 2003; 8 Desjardins (10.1016/j.ijmultiphaseflow.2019.103084_bib0010) 2013; 23 Kang (10.1016/j.ijmultiphaseflow.2019.103084_bib0028) 2000; 15 Vié (10.1016/j.ijmultiphaseflow.2019.103084_bib0053) 2015; 17 Morel (10.1016/j.ijmultiphaseflow.2019.103084_bib0040) 2015; vol. 114 Sabat (10.1016/j.ijmultiphaseflow.2019.103084_bib0045) 2016 Hirt (10.1016/j.ijmultiphaseflow.2019.103084_bib0023) 1974; 14 Abbena (10.1016/j.ijmultiphaseflow.2019.103084_bib0001) 2006 Ashgriz (10.1016/j.ijmultiphaseflow.2019.103084_bib0002) 1990; 221 Fuster (10.1016/j.ijmultiphaseflow.2019.103084_bib0019) 2009; 35 Pope (10.1016/j.ijmultiphaseflow.2019.103084_bib0044) 1988; 6 Yuan (10.1016/j.ijmultiphaseflow.2019.103084_bib0057) 2012; 51 Bernard-Champmartin (10.1016/j.ijmultiphaseflow.2019.103084_bib0003) 2014; 274 Gavrilyuk (10.1016/j.ijmultiphaseflow.2019.103084_bib0020) 2002; 175 Osher (10.1016/j.ijmultiphaseflow.2019.103084_bib0043) 2001; 169 Menard (10.1016/j.ijmultiphaseflow.2019.103084_bib0038) 2007; 33 Le Chenadec (10.1016/j.ijmultiphaseflow.2019.103084_bib0031) 2013; 249 Hirt (10.1016/j.ijmultiphaseflow.2019.103084_bib0024) 1981; 39 Le Touze (10.1016/j.ijmultiphaseflow.2019.103084_sbref0032) 2015
References_xml	– year: 2015 ident: bib0032 publication-title: Coupling Between Separated and Dispersed Two-Phase Flow Models For the simulation of Primary Atomization in Cryogenic Combustion – volume: 205 start-page: 664 year: 2005 end-page: 698 ident: bib0041 article-title: A five equation reduced model for compressible two phase flow problems publication-title: J. Comput. Phys. – volume: 2013 start-page: 014050 year: 2013 ident: bib0021 article-title: A consistent rescaled momentum transport method for simulating large density ratio incompressible multiphase flows using level set methods publication-title: Phys. Scr. – start-page: 513 year: 2003 end-page: 520 ident: bib0029 article-title: Curvature-based transfer functions for direct volume rendering : methods and applications publication-title: Visualization, 2003. – volume: 2 start-page: 014005 year: 2017 ident: bib0034 article-title: Spray formation in a quasiplanar gas-liquid mixing layer at moderate density ratios: a numerical closeup publication-title: Phys. Rev. Fluids – volume: 78 start-page: 2003 year: 2018 end-page: 2027 ident: bib0017 article-title: High order moment model for polydisperse evaporating sprays towards interfacial geometry description publication-title: SIAM J. Appl. Math. – volume: 70 start-page: 3203 year: 2010 end-page: 3234 ident: bib0036 article-title: A robust moment method for evaluation of the disappearance rate of evaporating sprays publication-title: SIAM J. Appl. Math. – volume: 221 start-page: 183 year: 1990 end-page: 204 ident: bib0002 article-title: Coalescence and separation in binary collisions of liquid drops publication-title: J. Fluid Mech. – volume: 1 start-page: 541 year: 1958 end-page: 545 ident: bib0056 article-title: Spray combustion and atomization publication-title: Phys.Fluids – volume: vol. 114 year: 2015 ident: bib0040 article-title: Mathematical Modeling of Disperse Two-Phase Flows – volume: 8 start-page: 1 year: 2003 end-page: 15 ident: bib0049 article-title: Efficient implementation of marching cubes cases with topological guarantees publication-title: J. Graphics Tools – year: 2016 ident: bib0045 publication-title: Eulerian Modeling and Numerical Methods for the Description of Turbulent Polydisperse Sprays – volume: 2 start-page: e453 year: 2014 ident: bib0055 article-title: Scikit-image: image processing in python publication-title: PeerJ – volume: 14 start-page: 227 year: 1974 end-page: 253 ident: bib0023 article-title: An arbitrary Lagrangian-Eulerian computing method for all flow speeds publication-title: J. Comput. Phys. – volume: 339 start-page: 210 year: 2017 end-page: 246 ident: bib0047 article-title: Simulation of reactive polydisperse sprays strongly coupled to unsteady flows in solid rocket motors: efficient strategy using eulerian multi-fluid methods publication-title: J. Comput. Phys. – volume: 337 start-page: 438 year: 2009 end-page: 448 ident: bib0007 article-title: Eulerian models for turbulent spray combustion with polydispersity and droplet crossing publication-title: Compt. Rend. Méc. – year: 2002 ident: bib0008 article-title: A compressible model for separated two-phase flows computations publication-title: ASME Fluids Engineering Division Summer Meeting, Montreal – start-page: 35 year: 2003 end-page: 57 ident: bib0039 article-title: Discrete differential-geometry operators for triangulated 2-manifolds publication-title: Visualization and Mathematics III – volume: 39 start-page: 201 year: 1981 end-page: 225 ident: bib0024 article-title: Volume of fluid (VoF) method for the dynamics of free boundaries publication-title: J. Comput. Phys. – volume: 175 start-page: 326 year: 2002 end-page: 360 ident: bib0020 article-title: Mathematical and numerical modeling of two-phase compressible flows with micro-inertia publication-title: J. Comput. Phys. – volume: 112 start-page: 243 year: 2019 end-page: 257 ident: bib0046 article-title: Statistical description of turbulent particle-laden flows in the very dilute regime using the anisotropic gaussian moment method publication-title: Int. J. Multiphase Flow – start-page: 1975 year: 1998 end-page: 1983 ident: bib0035 article-title: Counterflow spray diffusion flames of heptane: computations and experiments publication-title: Proceedings of the 27th Symp. (International) on Combustion, The Comb. Institute – volume: 25 start-page: 2404 year: 1984 end-page: 2417 ident: bib0037 article-title: Maximum entropy in the problem of moments publication-title: J. Math. Phys. – year: 1975 ident: bib0025 article-title: Thermo-fluid dynamic theory of two-phase flow – volume: 6 start-page: 445 year: 1988 end-page: 469 ident: bib0044 article-title: The evolution of surfaces in turbulence publication-title: J. Eng. Sci. – year: 1995 ident: bib0005 article-title: A coupled level-set volume-of-fluid algorithm for tracking material interfaces publication-title: Proceedings of the 6th International Symposium on Computational Fluid Dynamics, Lake Tahoe, CA – volume: vol. 135 year: 1999 ident: bib0013 article-title: Theory of Multicomponent Fluids – volume: 169 start-page: 463 year: 2001 end-page: 502 ident: bib0043 article-title: Level set methods: an overview and some recent results publication-title: J. Comput. Phys. – volume: 90 start-page: 545 year: 2013 end-page: 581 ident: bib0054 article-title: Accounting for polydispersion in the Eulerian large eddy simulation of an aeronautical-type configuration publication-title: Flow Turbul. Combust. – volume: 325 start-page: 129 year: 2016 end-page: 156 ident: bib0042 article-title: Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes publication-title: J. Comput. Phys. – volume: 327 start-page: 1015 year: 1999 end-page: 1020 ident: bib0050 article-title: Modélisation eulerienne de l’atomisation d’un jet liquide publication-title: Compt. Rend. l’Acad. Sci. – volume: 11 start-page: 619 year: 2001 end-page: 642 ident: bib0051 article-title: Development of a Eulerian model for the atomization of a liquid jet publication-title: Atom. Sprays – volume: 249 start-page: 185 year: 2013 end-page: 203 ident: bib0031 article-title: A monotonicity preserving conservative sharp interface flow solver for high density ratio two-phase flows publication-title: J. Comput. Phys. – volume: 3 start-page: 727 year: 2014 end-page: 748 ident: bib0012 article-title: Numerical strategy for unsteady two-way coupled polydisperse sprays: application to solid-rocket instabilities publication-title: J. Propul. Power – volume: 274 start-page: 19 year: 2014 end-page: 49 ident: bib0003 article-title: A low diffusive Lagrange-Remap scheme for the simulation of violent air–water free-surface flows publication-title: J Comput Phys – volume: 152 start-page: 204 year: 2017 end-page: 216 ident: bib0052 article-title: A consistent mass and momentum flux computation method for two phase flows. application to atomization process publication-title: Comput. Fluids – volume: 71 start-page: 1 year: 2016 end-page: 25 ident: bib0018 article-title: High order moment methods and adaptive mesh refinement for polydisperse evaporating spray simulations publication-title: Oil & Gas Sci. Technol. – volume: 33 start-page: 510 year: 2007 end-page: 524 ident: bib0038 article-title: Coupling level set/VOF/ghost fluid methods: validation and application to 3D simulation of the primary break-up of a liquid jet publication-title: Int. J. Multiphase Flow – volume: 35 start-page: 247 year: 2009 end-page: 260 ident: bib0033 article-title: Numerical simulation of primary break-up and atomization: DNS and modelling study publication-title: Int. J. Multiph. Flows – volume: 107 start-page: 230 year: 2018 end-page: 245 ident: bib0006 article-title: Where does the droplet size distribution come from? publication-title: Int. J. Multiphase Flow – volume: 25 start-page: 189 year: 2015 end-page: 254 ident: bib0016 article-title: Eulerian moment methods for automotive sprays publication-title: Atom. Sprays – volume: 71 start-page: 38 year: 2015 end-page: 65 ident: bib0027 article-title: High order moment method for polydisperse evaporating spray with mesh movement: application to internal combustion engines publication-title: Int. J. Multiph. Flows – volume: 52 start-page: 1311 year: 2014 end-page: 1334 ident: bib0009 article-title: Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. application to the dynamics of premixed flames publication-title: SIAM J Numer Anal – volume: 35 start-page: 550 year: 2009 end-page: 565 ident: bib0019 article-title: Simulation of primary atomization with an octree adaptive mesh refinement and VoF method publication-title: Int. J. Multiphase Flow – volume: 105 start-page: 291 year: 1999 end-page: 305 ident: bib0048 article-title: Hausdorff moment problem and maximum entropy: a unified approach publication-title: Appl. Math. Comput. – volume: 17 start-page: 1 year: 2015 end-page: 46 ident: bib0053 article-title: On the anisotropic Gaussian closure for the prediction of inertial-particle laden flows publication-title: Commun. Comput. Phys. – volume: 90 start-page: 449 year: 2013 end-page: 469 ident: bib0022 article-title: Large eddy simulation of reactive two-phase flow in an aeronautical multipoint burner publication-title: Flow Turbul. Combust. – volume: 876 start-page: 326 year: 2019 end-page: 355 ident: bib0015 article-title: Small-scale kinematics of two-phase flows: identifying relaxation processes in separated- and disperse-phase flow models publication-title: J. Fluid Mech. – year: 2006 ident: bib0001 article-title: Modern Differential Geometry of Curves and Surfaces with Mathematica – volume: 51 start-page: 1 year: 2012 end-page: 23 ident: bib0057 article-title: An extended quadrature method of moments for population balance equations publication-title: Atom. Sprays – volume: 42 year: 1994 ident: bib0004 article-title: Molecular gas Dynamics and the Direct Simulation of Gas Flows publication-title: Oxford Science Publications – volume: 23 start-page: 1001 year: 2013 end-page: 1048 ident: bib0010 article-title: Direct numerical and large-eddy simulation of primary atomization in complex geometries publication-title: Atom. Sprays – year: 2010 ident: bib0026 publication-title: Taking into Account Polydispersity in the Framework of a Coupled Euler-Lagrange Approach for the Modeling of Liquid Fuel Injection in Internal Combustion Engines – volume: 20 start-page: 902 year: 2016 end-page: 943 ident: bib0030 article-title: Two-size moment Eulerian multi-fluid model: a robust and high-fidelity description of polydisperse moderately dense evaporating sprays publication-title: Commun. Comput. Phys. – volume: 15 start-page: 323 year: 2000 end-page: 360 ident: bib0028 article-title: A boundary condition capturing method for multiphase incompressible flow publication-title: J. Sci. Comput. – volume: 25 start-page: 47 year: 2015 end-page: 80 ident: bib0011 article-title: Atomization modelling of liquid jets using a two-surface-density approach publication-title: J. Atom. Sprays – volume: 50 start-page: 649 year: 1990 end-page: 666 ident: bib0014 article-title: Evolution of geometric statistics publication-title: SIAM J. Appl. Math. – volume: 249 start-page: 185 year: 2013 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0031 article-title: A monotonicity preserving conservative sharp interface flow solver for high density ratio two-phase flows publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2013.04.027 – volume: 17 start-page: 1 issue: 1 year: 2015 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0053 article-title: On the anisotropic Gaussian closure for the prediction of inertial-particle laden flows publication-title: Commun. Comput. Phys. doi: 10.4208/cicp.021213.140514a – volume: 42 year: 1994 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0004 article-title: Molecular gas Dynamics and the Direct Simulation of Gas Flows publication-title: Oxford Science Publications – volume: 876 start-page: 326 year: 2019 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0015 article-title: Small-scale kinematics of two-phase flows: identifying relaxation processes in separated- and disperse-phase flow models publication-title: J. Fluid Mech. doi: 10.1017/jfm.2019.538 – volume: vol. 114 year: 2015 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0040 – year: 1995 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0005 article-title: A coupled level-set volume-of-fluid algorithm for tracking material interfaces – start-page: 1975 year: 1998 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0035 article-title: Counterflow spray diffusion flames of heptane: computations and experiments – volume: 71 start-page: 38 year: 2015 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0027 article-title: High order moment method for polydisperse evaporating spray with mesh movement: application to internal combustion engines publication-title: Int. J. Multiph. Flows doi: 10.1016/j.ijmultiphaseflow.2014.12.004 – volume: 33 start-page: 510 issue: 5 year: 2007 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0038 article-title: Coupling level set/VOF/ghost fluid methods: validation and application to 3D simulation of the primary break-up of a liquid jet publication-title: Int. J. Multiphase Flow doi: 10.1016/j.ijmultiphaseflow.2006.11.001 – volume: 2 start-page: 014005 year: 2017 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0034 article-title: Spray formation in a quasiplanar gas-liquid mixing layer at moderate density ratios: a numerical closeup publication-title: Phys. Rev. Fluids doi: 10.1103/PhysRevFluids.2.014005 – year: 1975 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0025 – start-page: 35 year: 2003 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0039 article-title: Discrete differential-geometry operators for triangulated 2-manifolds doi: 10.1007/978-3-662-05105-4_2 – volume: 152 start-page: 204 issue: Supplement C year: 2017 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0052 article-title: A consistent mass and momentum flux computation method for two phase flows. application to atomization process publication-title: Comput. Fluids doi: 10.1016/j.compfluid.2017.04.023 – volume: 25 start-page: 47 issue: 1 year: 2015 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0011 article-title: Atomization modelling of liquid jets using a two-surface-density approach publication-title: J. Atom. Sprays doi: 10.1615/AtomizSpr.2014011350 – volume: 1 start-page: 541 year: 1958 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0056 article-title: Spray combustion and atomization publication-title: Phys.Fluids doi: 10.1063/1.1724379 – volume: 35 start-page: 247 issue: 3 year: 2009 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0033 article-title: Numerical simulation of primary break-up and atomization: DNS and modelling study publication-title: Int. J. Multiph. Flows doi: 10.1016/j.ijmultiphaseflow.2008.11.005 – volume: 274 start-page: 19 year: 2014 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0003 article-title: A low diffusive Lagrange-Remap scheme for the simulation of violent air–water free-surface flows publication-title: J Comput Phys doi: 10.1016/j.jcp.2014.05.032 – volume: 90 start-page: 449 year: 2013 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0022 article-title: Large eddy simulation of reactive two-phase flow in an aeronautical multipoint burner publication-title: Flow Turbul. Combust. doi: 10.1007/s10494-012-9416-x – volume: 105 start-page: 291 year: 1999 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0048 article-title: Hausdorff moment problem and maximum entropy: a unified approach publication-title: Appl. Math. Comput. – volume: 337 start-page: 438 year: 2009 ident: 10.1016/j.ijmultiphaseflow.2019.103084_sbref0007 article-title: Eulerian models for turbulent spray combustion with polydispersity and droplet crossing publication-title: Compt. Rend. Méc. – volume: 78 start-page: 2003 issue: 4 year: 2018 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0017 article-title: High order moment model for polydisperse evaporating sprays towards interfacial geometry description publication-title: SIAM J. Appl. Math. doi: 10.1137/16M1108364 – volume: 112 start-page: 243 year: 2019 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0046 article-title: Statistical description of turbulent particle-laden flows in the very dilute regime using the anisotropic gaussian moment method publication-title: Int. J. Multiphase Flow doi: 10.1016/j.ijmultiphaseflow.2018.10.004 – volume: 8 start-page: 1 issue: 2 year: 2003 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0049 article-title: Efficient implementation of marching cubes cases with topological guarantees publication-title: J. Graphics Tools doi: 10.1080/10867651.2003.10487582 – volume: 107 start-page: 230 year: 2018 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0006 article-title: Where does the droplet size distribution come from? publication-title: Int. J. Multiphase Flow doi: 10.1016/j.ijmultiphaseflow.2018.06.010 – volume: 35 start-page: 550 issue: 6 year: 2009 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0019 article-title: Simulation of primary atomization with an octree adaptive mesh refinement and VoF method publication-title: Int. J. Multiphase Flow doi: 10.1016/j.ijmultiphaseflow.2009.02.014 – volume: 11 start-page: 619 year: 2001 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0051 article-title: Development of a Eulerian model for the atomization of a liquid jet publication-title: Atom. Sprays – year: 2006 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0001 – volume: 51 start-page: 1 issue: 1 year: 2012 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0057 article-title: An extended quadrature method of moments for population balance equations publication-title: Atom. Sprays – volume: 52 start-page: 1311 year: 2014 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0009 article-title: Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. application to the dynamics of premixed flames publication-title: SIAM J Numer Anal doi: 10.1137/130926006 – volume: 325 start-page: 129 year: 2016 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0042 article-title: Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2016.08.017 – volume: 175 start-page: 326 year: 2002 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0020 article-title: Mathematical and numerical modeling of two-phase compressible flows with micro-inertia publication-title: J. Comput. Phys. doi: 10.1006/jcph.2001.6951 – volume: 2013 start-page: 014050 issue: T155 year: 2013 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0021 article-title: A consistent rescaled momentum transport method for simulating large density ratio incompressible multiphase flows using level set methods publication-title: Phys. Scr. doi: 10.1088/0031-8949/2013/T155/014050 – volume: vol. 135 year: 1999 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0013 – volume: 221 start-page: 183 year: 1990 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0002 article-title: Coalescence and separation in binary collisions of liquid drops publication-title: J. Fluid Mech. doi: 10.1017/S0022112090003536 – start-page: 513 year: 2003 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0029 article-title: Curvature-based transfer functions for direct volume rendering : methods and applications – volume: 327 start-page: 1015 issue: 10 year: 1999 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0050 article-title: Modélisation eulerienne de l’atomisation d’un jet liquide publication-title: Compt. Rend. l’Acad. Sci. – volume: 2 start-page: e453 year: 2014 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0055 article-title: Scikit-image: image processing in python publication-title: PeerJ doi: 10.7717/peerj.453 – volume: 50 start-page: 649 issue: 3 year: 1990 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0014 article-title: Evolution of geometric statistics publication-title: SIAM J. Appl. Math. doi: 10.1137/0150038 – volume: 71 start-page: 1 year: 2016 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0018 article-title: High order moment methods and adaptive mesh refinement for polydisperse evaporating spray simulations publication-title: Oil & Gas Sci. Technol. doi: 10.2516/ogst/2016012 – volume: 90 start-page: 545 issue: 3 year: 2013 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0054 article-title: Accounting for polydispersion in the Eulerian large eddy simulation of an aeronautical-type configuration publication-title: Flow Turbul. Combust. doi: 10.1007/s10494-012-9440-x – volume: 169 start-page: 463 issue: 2 year: 2001 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0043 article-title: Level set methods: an overview and some recent results publication-title: J. Comput. Phys. doi: 10.1006/jcph.2000.6636 – volume: 20 start-page: 902 year: 2016 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0030 article-title: Two-size moment Eulerian multi-fluid model: a robust and high-fidelity description of polydisperse moderately dense evaporating sprays publication-title: Commun. Comput. Phys. doi: 10.4208/cicp.300615.050216a – volume: 14 start-page: 227 issue: 3 year: 1974 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0023 article-title: An arbitrary Lagrangian-Eulerian computing method for all flow speeds publication-title: J. Comput. Phys. doi: 10.1016/0021-9991(74)90051-5 – volume: 15 start-page: 323 issue: 3 year: 2000 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0028 article-title: A boundary condition capturing method for multiphase incompressible flow publication-title: J. Sci. Comput. doi: 10.1023/A:1011178417620 – volume: 3 start-page: 727 year: 2014 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0012 article-title: Numerical strategy for unsteady two-way coupled polydisperse sprays: application to solid-rocket instabilities publication-title: J. Propul. Power doi: 10.2514/1.B34862 – year: 2015 ident: 10.1016/j.ijmultiphaseflow.2019.103084_sbref0032 – volume: 6 start-page: 445 issue: 5 year: 1988 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0044 article-title: The evolution of surfaces in turbulence publication-title: J. Eng. Sci. doi: 10.1016/0020-7225(88)90004-3 – volume: 339 start-page: 210 year: 2017 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0047 article-title: Simulation of reactive polydisperse sprays strongly coupled to unsteady flows in solid rocket motors: efficient strategy using eulerian multi-fluid methods publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2017.02.003 – volume: 23 start-page: 1001 issue: 11 year: 2013 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0010 article-title: Direct numerical and large-eddy simulation of primary atomization in complex geometries publication-title: Atom. Sprays doi: 10.1615/AtomizSpr.2013007679 – year: 2002 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0008 article-title: A compressible model for separated two-phase flows computations – volume: 39 start-page: 201 issue: 1 year: 1981 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0024 article-title: Volume of fluid (VoF) method for the dynamics of free boundaries publication-title: J. Comput. Phys. doi: 10.1016/0021-9991(81)90145-5 – year: 2010 ident: 10.1016/j.ijmultiphaseflow.2019.103084_sbref0026 – volume: 205 start-page: 664 year: 2005 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0041 article-title: A five equation reduced model for compressible two phase flow problems publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2004.07.019 – volume: 25 start-page: 189 year: 2015 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0016 article-title: Eulerian moment methods for automotive sprays publication-title: Atom. Sprays doi: 10.1615/AtomizSpr.2015011204 – volume: 70 start-page: 3203 year: 2010 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0036 article-title: A robust moment method for evaluation of the disappearance rate of evaporating sprays publication-title: SIAM J. Appl. Math. doi: 10.1137/080740027 – year: 2016 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0045 – volume: 25 start-page: 2404 issue: 8 year: 1984 ident: 10.1016/j.ijmultiphaseflow.2019.103084_bib0037 article-title: Maximum entropy in the problem of moments publication-title: J. Math. Phys. doi: 10.1063/1.526446
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Snippet	•Statistical formalism for gas–liquid interface based on geometrical properties.•Link of local interface geometry with NDF of objects using topological... In this work, we investigate an original strategy in order to derive a statistical modeling of the interface in gas-liquid two-phase flows through geometrical...
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SubjectTerms	computational geometry Differential Geometry disperse/separated phases Engineering Sciences Fluid mechanics gas-liquid interface Gauss-Bonnet formula Mathematics Mechanics moments method Numerical Analysis Physics Reactive fluid environment surface and number density function
Title	Statistical modeling of the gas–liquid interface using geometrical variables: Toward a unified description of the disperse and separated phase flows
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