|
TrioCFD 1.9.8
TrioCFD documentation
|
Remi Abgrall and Pietro Marco Congedo. A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems. Journal of Computational Physics, 235:828–845, 2013.
M. Abkar, H. J. Bae, and P. Moin. Minimum-dissipation scalar transport model for large-eddy simulation of turbulent flows. Physical Review Fluids, 1(4):041701, 2016.
Elise Alméras. Etude des propriétés de transport et de mélange dans les écoulements à bulles. phdthesis, Université de Toulouse, 12 2014.
P.-E. Angeli and N. Leterrier. Implémentation et validation du modèle de turbulence k-epsilon réalisable dans TrioCFD. Technical Report DEN/DANS/DM2S/STMF/LMSF/NT/2018-64015/A, CEA, 2019.
P.-E. Angeli, U. Bieder, and G. Fauchet. Overview of the triocfd code: Main features, V&V procedures and typical applications to nuclear engineering. In NURETH-16, Chicago, IL, August 30-September 4, 2015.
P.-E. Angeli, A. Puscas, G. Fauchet, and A. Cartalade. FVCA8 benchmark for the Stokes and Navier-Stokes Equations with the TrioCFD Code – Benchmark Session. In C. Cancès et P. Omnès, éditeurs : Finite Volumes for Complex Applications VIII – Methods and Theoretical Aspects, pages 181 – 203. Springer, 2017.
S.P. Antal, R.T. Lahey, and J.E. Flaherty. Analysis of phase distribution in fully developed laminar bubbly two-phase flow. International Journal of Multiphase Flow, 17(5):635–652, 1991.
C.D. Argyropoulos and N.C. Markatos. Recent advances on the numerical modelling of turbulent flows. Applied Mathematical Modelling, 39(2):693–732, 2015.
A. Majid Bahari and Kourosh Hejazi. Investigation of buoyant parameters of \(k\)- \(\epsilon\) turbulence model in gravity stratified flows. International Journal of Physical and Mathematical Sciences, 3(7):494 – 501, 2009.
A. Biesheuvel and L. Van Wijngaarden. Two-phase flow equations for a dilute dispersion of gas bubbles in liquid. Journal of Fluid Mechanics, 148:301–318, 1984.
J. Borggaard and J. Burns. A PDE sensitivity equation method for optimal aerodynamic design. Journal of Computational Physics, 136(2):366 – 384, 1997.
A. D. Burns, T. Frank, I. Hamill, and J.-M. Shi. The favre averaged drag model for turbulent dispersion in eulerian multi-phase flows. In 5th International Conference on Multiphase Flow, 2004.
O. Lebaigue C. Duquennoy and J. Magnaudet. A numerical model of gas-liquid-solid contact line. Fluid Mechanics and its Applications, 62, 2000.
Sébastien Candel. Mécanique des fluides, 2ème Ed.. Dunod, 2001.
Jan-Renee Carlson, Veer N. Vatsay, and Jeery Whitey. Node-centered wall function models for the unstructured flow code fun3d. In 22nd AIAA Computational Fluid Dynamics Conference, page 2758, 2015.
C. Chalons, R. Duvigneau, and C. Fiorini. Sensitivity analysis and numerical diffusion effects for hyperbolic PDE systems with discontinuous solutions. The case of barotropic Euler equations in Lagrangian coordinates. SIAM Journal on Scientific Computing, 40(6):A3955–A3981, 2018.
Tchen Chan-Mou. Mean Value and Correlation Problems connected with the Motion of Small Particles suspended in a turbulent fluid. Springer - Science + Business Media, 1947.
Patrick Chassaing. Turbulence en mécanique des fluides. CÉPADUèS-ÉDITIONS, 2000.
Sherman C. P. Cheung, G. H. Yeoh, and J. Y. Tu. Population balance modeling of bubbly flows considering the hydrodynamics and thermomechanical processes. AIChE Journal, 54(7):1689–1710, 2008.
Kuei-Yuan Chien. Predictions of channel and boundary-layer flows with a low-reynolds-number turbulence model. AIAA Journal, 20(1):33–38, 1982.
A. J. Chorin. Numerical solution of the navier-stokes equations. Math. Comp., 22(104):745–762, 1968.
M. Ciofalo and M.W. Collins. \(k\)- \(\epsilon\) predictions of heat transfer in turbulent recirculating flows using an improved wall treatment. Numerical Heat Transfer, Part B: Fundamentals, 15(1):21–47, 1989.
Marco Colombo, Roland Rzehak, Michael Fairweather, Yixiang Liao, and Dirk Lucas. Benchmarking of computational fluid dynamic models for bubbly flows. Nuclear Engineering and Design, 375:111075, 4 2021.
On the partial difference equations of mathematical physics. 11.
M. Crouzeix and P.-A. Raviart. Conforming and nonconforming finite element methods for solving the stationary stokes equations. RAIRO, Sér. Anal. Numer., 33, 1977.
D. Torres D. Jamet and J. U. Brackbill. On the theory and computation of surface tension: The elimination of parasitic currents through energy conservation in the second gradient method. Journal of Computational Physics, 182:262–276, 2002.
N. Coutris D. Jamet, O. Lebaigue and J. M. Delhaye. The second gradient method for the liquid-vapor flows with phase change. Journal of Computational Physics, 169:624–651, 2001.
A. K. Das and P. K. Das. Modelling bubbly flow and its transitions in vertical annuli using population balance technique. International Journal of Heat and Fluid Flow, 31(1):101–114, 2010.
Akshay J Dave. Interfacial Area Transport Equation Models and Validation against High Resolution Experimental Data for Small and Large Diameter Vertical Pipes by. PhD thesis, University of Michigan, 2016.
M. Lopez de Bertodano, R.T. Lahey, and O.C. Jones. Phase distribution in bubbly two-phase flow in vertical ducts. International Journal of Multiphase Flow, 20(5):805–818, 1994.
Martin A Lopez de Bertodano. Two fluid model for two-phase turbulent jets. Nuclear Engineering and Design, 179(1):65–74, 1998.
J. W. Deardorff. A numerical study of three-dimensional turbulent channel flow at large reynolds numbers. Journal of Fluid Mechanics, 41(2):453–480, 1970.
C. Delenne. Propagation de la sensibilité dans les modèles hydrodynamiques.. PhD thesis, Montpellier II, 2014.
DES-CEA. Code CEA TrioCFD. http://triocfd.cea.fr/Pages/Presentation/TrioCFD_code.aspx.
Bruno Després, Gaël Poëtte, and Didier Lucor. Robust uncertainty propagation in systems of conservation laws with the entropy closure method. In Uncertainty quantification in computational fluid dynamics, pages 105–149. Springer, 2013.
J. Donea, S. Giuliani, and J.-P. Halleux. An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions. Computer methods in applied mechanics and engineering., 33:689–723, 1982.
J. Donea, A. Huerta, J. Ph. Ponthot, and A. Rodríguez-Ferran. Arbitrary Lagrangian–Eulerian Methods. American Cancer Society, 2004.
A. du Cluzeau. Modélisation physique de la dynamique des écoulements à bulles par remontée d’échelle à partir de simulations fines. phdthesis, Université de Perpignan Via Domitia, 10 2019.
F. Duarte, R. Gormaz, and S. Natesan. Arbitrary Lagrangian-Eulerian method for Navier-Stokes equations with moving boundaries. Computer Methods in Applied Mechanics and Engineering., 193:4819–4836, 2004.
D. Dupuy, A. Toutant, and F. Bataille. Study of the sub-grid terms of the large-eddy simulation of a low Mach strongly anisothermal channel flow. In Eurotherm Seminar 106, Paris, France, 2016.
D. Dupuy, A. Toutant, and F. Bataille. étude de l’équation d’énergie pour le développement de modèles sous-mailles adaptés aux écoulements fortement anisothermes. In Congrès SFT, Marseille, France, 2017.
D. Dupuy, A. Toutant, and F. Bataille. Study of the large-eddy simulation subgrid terms of a low mach number anisothermal channel flow. International Journal of Thermal Sciences, 135:221–234, 2018.
C. Duquennoy. Développement d’une approche de simulation numérique directe de l’ébullition en paroi. Thèse de doctorat, 2000.
R. Duvigneau and D. Pelletier. Evaluation of nearby flows by a shape sensitivity equation method. In 43rd AIAA Aerospace Sciences Meeting and Exhibit, page 127, 2005.
R. Duvigneau and D. Pelletier. A sensitivity equation method for fast evaluation of nearby flows and uncertainty analysis for shape parameters. International Journal of Computational Fluid Dynamics, 20(7):497–512, 2006.
R. Duvigneau, D. Pelletier, and J. Borggaard. An improved continuous sensitivity equation method for optimal shape design in mixed convection. Numerical Heat Transfer, Part B: Fundamentals, 50(1):1–24, 2006.
R. Scardovelli E. Aulisa, S. Manservisi and S. Zaleski. A geometrical area-preserving volume-of-fluid advection method. Journal of Computational Physics, 192(1):355–364, 2003.
Ph. Emonot. Méthode de volumes élements finis : applications aux équations de Navier-Stokes et résultats de convergence. PhD thesis, Université Claude Bernard – Lyon I, 1992.
P. Emonot. Méthodes de volumes-éléments finis : application aux équations de navier-stokes et résultats de convergence. Thèse de doctorat, 2003.
Sixin Fan, Budugur Lakshminarayana, and Mark Barnett. Low-reynolds-number k-epsilon model for unsteady turbulent boundary-layer flows. AIAA Journal, 31(10):1777–1784, 1993.
Foad Faraji, Christiano Santim, Perk Lin Chong, and Faik Hamad. Two-phase flow pressure drop modelling in horizontal pipes with different diameters. Nuclear Engineering and Design, 395:111863, 2022.
Vincent Faucher and Maria Adela Puscas. Very large scale grid motion for arbitrary lagrange euler simulation by means of an explicit hyperbolic nonlinear problem. International Journal of Computational Fluid Dynamics, 38(10):634–662, 2024.
C. Fiorini, C. Chalons, and R. Duvigneau. A modified ensitivity equation method for Euler equations in presence of shocks. Numerical methods for partial differential equations, 2019.
Camilla Fiorini, Bruno Després, and Maria Adela Puscas. Sensitivity equation method for the navier-stokes equations applied to uncertainty propagation. International Journal for Numerical Methods in Fluids, 93(1):71–92, 2021.
Camilla Fiorini, Maria Adela Puscas, and Bruno Després. Sensitivity analysis for a thermohydrodynamic model: Uncertainty analysis and parameter estimation. European Journal of Mechanics - B/Fluids, 105:25–33, 2024.
C. Fiorini. Sensitivity analysis for nonlinear hyperbolic systems of conservation laws. PhD thesis, Université Paris Saclay, 2018.
T. Fortin. Une méthode élements finis à décompositoin \(L^2\) d’ordre élevé motivée par la simulation d’écoulement diphasique bas Mach. PhD thesis, Université Pierre et Marie Curie – Paris VI, 2006.
G. Fourestey and S. Piperno. A second-order time-accurate ALE Lagrange-Galerkin method applied to wind engineering and control of bridge profiles. Computer methods in applied mechanics and engineering., 193:4117–4137, 2004.
Lutz Friedel. Improved friction pressure drop correlations for horizontal and vertical two-phase pipe flow. In European two-phase group meeting, Ispra, Italy, 1979.
X. Y. Fu and M. Ishii. Two-group interfacial area transport in vertical air-water flow i. mechanistic model. Nuclear Engineering and Design, 219:143–168, 2002.
Jakub Galecki and Jacek Szumbarski. Adjoint-based optimal control of incompressible flows with convective-like energy-stable open boundary conditions. Computers & Mathematics with Applications, 106:40–56, 2022.
C Garnier, M Lance, and J.L Marié. Measurement of local flow characteristics in buoyancy-driven bubbly flow at high void fraction. Experimental Thermal and Fluid Science, 26(6):811–815, 2002.
A. Genty. Optimisation de paramètres du modèle de turbulence \(k\)- \(\epsilon\) pour les écoulements avec stratification thermique. Étude préliminaire. Technical Report DEN/DANS/DM2S/STMF/LATF/NT/2019-65405/A, CEA, 2019.
M. Germano, U. Piomelli, P. Moin, and W. H. Cabot. A dynamic subgrid-scale eddy viscosity model. Physics of Fluids A: Fluid Dynamics, 3(7):1760–1765, 1991.
Antoine Gerschenfeld and Yannick Gorsse. Development of a robust multiphase low solver on general meshes; application to sodium boiling at the subchannel scale. In NURETH 2022, 2022.
Antoine Gerschenfeld. Schéma numérique polymac. application à l’ocs triomc. unification des échelles sous-canal et cfd. Technical report, DEN/DANS/DM2S/STMF/LMEC, 2018.
N. S. Ghaisas and S. H. Frankel. A priori evaluation of large eddy simulation subgrid-scale scalar flux models in isotropic passive-scalar and anisotropic buoyancy-driven homogeneous turbulence. J. Turbulence, 15(2):88–121, 2014.
Michael B Giles and Niles A Pierce. An introduction to the adjoint approach to design. Flow, turbulence and combustion, 65:393–415, 2000.
Eric Goncalves and Regiane Fortes Patella. Numerical simulation of cavitating flows with homogeneous models. Computers & Fluids, 38(9):1682–1696, oct 2009.
J.-L. Guermond and L. Quartapelle. On stability and convergence of projection methods based on pressure poisson equation. International Journal for Numerical Methods in Fluids, 26(9):1039–1053, 1998.
M. D. Gunzburger. Perspectives in flow control and optimization, volume 5. Siam, 2003.
S. Heib. Nouvelles discrétisations non structuées pour des écoulements de fluides à incompressibilité renforcée. PhD thesis, Université Paris 6, 2003.
S. Heib. Nouvelles discrétisations non structurées pour des écoulements de fluides à incompressibilité renforcée. Thèse de doctorat, 2003.
Introducing the open-source mfront code generator: Application to mechanical behaviours and material knowledge management within the PLEIADES fuel element modelling platform. 70.
The MFrontGenericInterfaceSupport project. 5.
Takashi Hibiki and Mamoru Ishii. Distribution parameter and drift velocity of drift-flux model in bubbly flow. International Journal of Heat and Mass Transfer, 45(4):707–721, 2002.
Takashi Hibiki and Mamoru Ishii. Distribution parameter and drift velocity of drift-flux model in bubbly flow. International Journal of Heat and Mass Transfer, 45(4):707–721, 2002.
Hans M Hilber, Thomas JR Hughes, and Robert L Taylor. Improved numerical dissipation for time integration algorithms in structural dynamics. Earthquake Engineering & Structural Dynamics, 5(3):283–292, 1977.
C. W. Hirt and B. D. Nichols. Volume of fluid (vof) method for the dynamics of free boundaries. Journal of Computational Physics, 39:201, 1981.
Mamoru Ishii and Novak Zuber. Drag coefficient and relative velocity in bubbly, droplet or particulate flows. AIChE Journal, 25(5):843–855, 1979.
Mamoru Ishii. One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. Technical report, Argonne National Lab., Ill.(USA), 1977.
Mamoru Ishii. One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. Technical report, Argonne National Lab., Ill.(USA), 1977.
J. Jacod and P. Protter. Probability essentials. Springer Science & Business Media, 2012.
W.P Jones and B.E Launder. The prediction of laminarization with a two-equation model of turbulence. International Journal of Heat and Mass Transfer, 15(2):301 – 314, 1972.
B.A. Kader. Temperature and concentration profiles in fully turbulent boundary layers. Int. J. Heat Mass Transfer, 24(9):1541–1544, 1981.
Georgi Kalitzin, Gorazd Medic, Gianluca Iaccarino, and Paul Durbin. Near-wall behavior of RANS turbulence models and implications for wall functions. Journal of Computational Physics, 204(1):265–291, mar 2005.
Isao Kataoka, Kenji Yoshida, Masanori Naitoh, Hidetoshi Okada, and Tadashi Morii. Modeling of turbulent transport term of interfacial area concentration in gas liquid two-phase flow. Nuclear Engineering and Design, 253:322–330, 12 2012.
I. Kataoka. Local instant formulation of two-phase flow. International Journal of Multiphase Flow, 12(5):745–758, 1986.
O.M. Knio and O.P. Le Maitre. Uncertainty propagation in CFD using polynomial chaos decomposition. Fluid Dynamics Research, 38(9):616–640, September 2006.
Tobias Knopp, Thomas Alrutz, and Dieter Schwamborn. A grid and flow adaptive wall-function method for rans turbulence modelling. Journal of Computational Physics, 220:19–40, 2006.
H. Kobayashi. The subgrid-scale models based on coherent structures for rotating homogeneous turbulence and turbulent channel flow. Physics of Fluids, 17(4):045104, 2005.
G. Kocamustafaogullari and M. Ishii. Foundation of the interfacial area transport equation and its closure relations. Int. J. Heat Mass Transfer 38, pages 481–493, 1994.
G. Kocamustafaogullari, W. D. Huang, and J. Razi. Measurement and modeling of average void fraction, bubble size and interfacial area. Nuclear Engineering and Design, 148(2-3):437–453, 1994.
J.C. Kok and S.P. Spekreijse. Efficient and accurate implementation of the k-omega turbulence model in the nlr multi-block navier-stokes system. Technical Report NLR-TP-2000-144, National Aerospace Laboratory NLR, 2000.
J.C. Kok. Resolving the dependence on free-stream values for the k-omega turbulence model. Technical Report NLR-TP-99295, National Aerospace Laboratory NLR, 1999.
Ravikishore Kommajosyula. Development and assessment of a physics-based model forsubcooled flow boiling with application to CFD. PhD thesis, MIT, 2020.
B. Koobus, C. Farhat, and H. Tran. Computation of unsteady viscous flows around moving bodies using the k– \(\varepsilon\) turbulence model on unstructured dynamic grids. Computer methods in applied mechanics and engineering., 190:1441–1466, 2000.
Eckhard Krepper and Roland Rzehak. Cfd for subcooled flow boiling: Simulation of debora experiments. Nuclear Engineering and Design, 241(9):3851–3866, 2011. Seventh European Commission conference on Euratom research and training in reactor systems (Fission Safety 2009).
J.T. Kuo and G.B. Wallis. Flow of bubbles through nozzles. International Journal of Multiphase Flow, 14(5):547–564, 1988.
N Kurul. On the modeling of multidimensional effects in boiling channels. ANS. Proc. National Heat Transfer Con. Minneapolis, Minnesota, USA, 1991, 1991.
O. Kuzman, S. Mierka, and S. Turek. On the implementation of the k-epsilon turbulence model inincompressible flow solvers based on a finite element discretisation. In International Journal of Computing Science and Mathematics archive, volume 1, pages 193–206, 2007.
Romain Lagrange and Maria Adela Puscas. Fluid-induced vibration frequency and damping of a coaxial cylinder in a quiescent viscous medium: Theoretical and numerical predictions. Journal of Applied Mechanics, 92(11):111001, 2025.
C.K.G. Lam and K. Bremhorst. A Modified Form of the \(k\)- \(\epsilon\) Model for Predicting Wall Turbulence. Journal of Fluids Engineering, 103(3):456–460, 09 1981.
B.E. Launder and B.I. Sharma. Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc. Letters in Heat and Mass Transfer, 1(2):131 – 137, 1974.
B.E. Launder and D.B. Spalding. The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering, 3(2):269 – 289, 1974.
A. Leonard. Energy cascade in large eddy simulations of turbulent fluid flows. Advances in Geophysics, 18A:237–248, 1974.
A. Leprevost, V. Faucher, and M. A. Puscas. A computationally efficient dynamic grid motion approach for arbitrary lagrange–euler simulations. Fluids, 8(5), 2023.
Yixiang Liao, Dirk Lucas, Eckhard Krepper, and Martin Schmidtke. Development of a generalized coalescence and breakup closure for the inhomogeneous musig model. Nuclear Engineering and Design, 241(4):1024–1033, 2011.
D. K. Lilly. A proposed modification of the germano subgrid-scale closure method. Physics of Fluids A: Fluid Dynamics, 4(3):633–635, 1992.
PA Lottes and WS Flinn. A method of analysis of natural circulation boiling systems. Nuclear Science and Engineering, 1(6):461–476, 1956.
Jiacai Lu and Grétar Tryggvason. Effect of Bubble Deformability in Turbulent Bubbly Upflow in a Vertical Channel. Physics of Fluids, 20:040701, 2008.
Nazar Lubchenko, Ben Magolan, Rosie Sugrue, and Emilio Baglietto. A more fundamental wall lubrication force from turbulent dispersion regularization for multiphase cfd applications. International Journal of Multiphase Flow, 98:36–44, 1 2018.
Mostafa Mahdavi, Mohsen Sharifpur, and Josua P Meyer. Implementation of diffusion and electrostatic forces to produce a new slip velocity in the multiphase approach to nanofluids. Powder Technology, 307:153–162, 2017.
Mikko Manninen, Veikko Taivassalo, and Sirpa Kallio. On the mixture model for multiphase flow. 1996.
O. Marfaing, M. Guingo, J. Laviéville, G. Bois, N. Méchitoua, N. Mérigoux, and S. Mimouni. An analytical relation for the void fraction distribution in a fully developed bubbly flow in a vertical pipe. Chemical Engineering Science, 152:579–585, 2016.
B. Mathieu. Etudes physique, expérimentale et numérique des mécanismes de base intervenant dans les écoulements diphasiques en micro-fluidique.. PhD thesis, 2003.
B. Maury. Characteristics ale method for the unsteady 3d navier-stokes equations with a free surface. Journal of Computational Fluid Dynamics, 6:175–188, 1996.
F. R. Menter, M. Kuntz, and R. Langtry. Ten years of industrial experience with the sst turbulence model. In Turbulence, Heat and Mass Transfer 4, 2003.
Florian R. Menter. Zonal two equation k-cl, turbulence models for aerodynamic flows. In American Institute of Aeronautics and Astronautics 24th Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1993. AlAA 93-2906.
Bojan M. Mitrovic, Phuong M. Le, and Dimitrios V. Papavassilioua. On the prandtl or schmidt number dependence of the turbulent heat or mass transfer coefficient. Chemical Engineering Science, 59:543–555, 2004.
R.C. Morgans, B.B. Dally, G.J. Nathan, P.V. Lanspeary, and D.F. Fletcher. Application of the revised wilcox (1998) \(k\)- \(\omega\) turbulence model to a jet in co-flow. In Second International Conference on CFD in the Minerals and Process Industries CSIRO, Melbourne, Australia, 6-8 December, 1999.
H Müller-Steinhagen and K Heck. A simple friction pressure drop correlation for two-phase flow in pipes. Chemical Engineering and Processing: Process Intensification, 20(6):297–308, 1986.
A method of computation for structural dynamics. 85.
Nathan M Newmark. A method of computation for structural dynamics. Journal of the engineering mechanics division, 85(3):67–94, 1959.
F. Nicoud and F. Ducros. Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow, Turbulence and Combustion, 62(3):183–200, Sep 1999.
F. Nicoud, H. Baya Toda, O. Cabrit, S. Bose, and J. Lee. Using singular values to build a subgrid-scale model for large eddy simulations. Physics of Fluids, 23(8):085106, 2011.
Nathalie Nouaime, Bruno Desprès, Maria Adela Puscas, and Camilla Fiorini. Sensitivity analysis of navier-stokes equations coupled with temperature using the first-order polynomial chaos method and fev discretization. Available at SSRN 5183992.
N Nouaime, B Després, MA Puscas, and Camilla Fiorini. Stability of a continuous/discrete sensitivity model for the navier–stokes equations. International Journal for Numerical Methods in Fluids, 96(12):1883–1909, 2024.
N Nouaime, B Després, MA Puscas, and C Fiorini. Sensitivity analysis for incompressible navier–stokes equations with uncertain viscosity using polynomial chaos method. European Journal of Mechanics-B/Fluids, 111:308–318, 2025.
Nathalie Nouaime. Sensitivity analysis for the generalized Navier-Stokes models. PhD thesis, Sorbonne Université, 2024.
C. Duquennoy O. Lebaigue, D. Jamet and N. Coutris. Review of existing methods for direct numerical simulation of liquid-vapor two-phase flows. Technical report, 6th International Conference on Nuclear Engineering, 1998.
S. Paolucci. Filtering of sound from the Navier-Stokes equations. NASA STI/Recon Technical Report N, 83, 1982.
Miltiadis Papalexandris. On the applicability of stokes’ hypothesis to low-mach-number flows. Continuum Mechanics and Thermodynamics, 32, 05 2019.
N. Park, S. Lee, J. Lee, and H. Choi. A dynamic subgrid-scale eddy viscosity model with a global model coefficient. Physics of Fluids, 18(12):125109, 2006.
M. Peybernès. Modèles de turbulence dans TrioCFD. Technical Report DEN/DANS/DM2S/STMF/LMSF/NT/16-009/A, CEA, 2016.
Serge Piperno and Charbel Farhat. Design of efficient partitioned procedures for the transient solution of aeroelastic problems. Revue européenne des éléments finis, 9(6-7):655–680, 2000.
S. Popinet. Stabilité et formation de jets dans les bulles cavitantes : développement d’une méthode de chaîne de marqueurs adaptée au traitement numérique des équations de navier-stokes avec surfaces libres. Thèse de doctorat, 2000.
Elbridge Gerry Puckett, Ann S Almgren, John B Bell, Daniel L Marcus, and William J Rider. A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows. Journal of Computational Physics, 130:269–282, 1997.
M. A. Puscas and L. Monasse. A three-dimensional conservative coupling method between an inviscid compressible flow and a moving rigid solid. SIAM Journal on Scientific Computing., 37:B884–B909, 2015.
M. A. Puscas, L. Monasse, A. Ern, C. Tenaud, and C. Mariotti. A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure. International Journal for Numerical Methods in Engineering., 103:970–995, 2015.
M. A. Puscas, L. Monasse, A. Ern, C. Tenaud, C. Mariotti, and V. Daru. A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure. Journal of Computational Physics., 296:241–262, 2015.
Somboon Rassame and Takashi Hibiki. Modeling of turbulent diffusion terms for one-dimensional interfacial area transport equation in vertical round channels. Progress in Nuclear Energy, 157:104568, 3 2023.
H. Reichardt. Die wärmeübertragung in turbulenten reibungsschichten. ZAMM – J. Appl. Math. Mech., 20(6):297–328, 1940. Translation : HEAT TRANSFER THROUGH TURBULENT FRICTION LAYERS.
H. Reichardt. Vollstandige darstellung der turbulenten geschwindigkeitsverteilung in glatten leitungen. Z. angew. Math. Mech., 31(7):208–219, 1951.
Frédéric Risso. Agitation, mixing, and transfers induced by bubbles. Annual Review of Fluid Mechanics, 50(1):25–48, 1 2018.
C. Robert and G. Casella. Monte Carlo statistical methods. Springer Science & Business Media, 2013.
M.G. Rodio and U. Bieder. Comparison between compressible, dilatable and incompressible fluid hypotheses efficiency in liquid conditions at high pressure and large temperature differences. European Journal of Mechanics - B/Fluids, 76:32–49, 2019.
Marco E Rosti, Zhouyang Ge, Suhas S Jain, Michael S Dodd, and Luca Brandt. Droplets in homogeneous shear turbulence. Journal of Fluid Mechanics, 876:962–984, 2019.
W. Rozema, H.J. Bae, P. Moin, and R. Verstappen. Minimum-dissipation models for large-eddy simulation. Physics of Fluids, 27(8):085107, 2015.
Henrik Rusche and Raad Issa. The effect of voidage on the drag force on particles in dispersed two-phase flow. Japanese European Two-Phase Flow Meeting, 12 2000.
S. Ryu and G. Iaccarino. A subgrid-scale eddy-viscosity model based on the volumetric strain-stretching. Physics of Fluids, 26(6):065107, 2014.
Roland Rzehak and Eckhard Krepper. CFD modeling of bubble-induced turbulence. International Journal of Multiphase Flow, 55:138–155, 2013.
Roland Rzehak and Eckhard Krepper. Closure models for turbulent bubbly flows: a cfd study. Nuclear Engineering and Design, 265:701–711, 12 2013.
Roland Rzehak and Sebastian Kriebitzsch. Multiphase CFD-simulation of bubbly pipe flow: a code comparison. International Journal of Multiphase Flow, 68:135–152, 1 2015.
Y. Sato, M. Sadatomi, and K. Sekoguchi. Momentum and heat transfer in two-phase bubble flow textemdash i. theory. International Journal of Multiphase Flow, 7(2):167–177, 4 1981.
J.P. Schlegel, T. Hibiki, and M. Ishii. Two-group modeling of interfacial area transport in large diameter channels. Nuclear Engineering and Design 293, pages 75–86, 2015.
Dillon Shaver, Aleks Obabko, Ananias Tomboulides, Victor Coppo-Leite, Yu-Hsiang Lan, MiSun Min, Paul Fischer, and Christopher Boyd. Nek5000 developments in support of industry and the nrc. Technical Report ANL/NSE-20/48, Argonne National Laboratory, 2020.
Tsan-Hsing Shih, William W. Liou, Aamir Shabbir, Zhigang Yang, and Jiang Zhu. A new \(k\)- \(\epsilon\) eddy viscosity model for high reynolds number turbulent flows. Computers & Fluids, 24(3):227 – 238, 1995.
S. Shin and D. Juric. Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity. Journal of Computational Physics, 180:427–470, 2002.
M. Simonnet, C. Gentric, E. Olmos, and N. Midoux. Experimental determination of the drag coefficient in a swarm of bubbles. Chemical Engineering Science, 62(3):858–866, 2007.
J. Smagorinsky. General circulation experiments with the primitive equations: I. the basic experiment. Monthly weather review, 91(3):99–164, 1963.
T.R. Smith, J.P. Schlegel, T. Hibiki, and M. Ishii. Mechanistic modeling of interfacial area transport in large diameter pipes. International Journal of Multiphase Flow, 47:1–16, 2012.
P.D.M. Spelt and A. Biesheuvel. Dispersion of gas bubbles in large-scale homogeneous isotropic turbulence. Applied Scientific Research, 58(1):463–482, 1997.
L. B. Streher, M. H. Silvis, P. Cifani, and R. W. C. P. Verstappen. Mixed modeling for large-eddy simulation: The single-layer and two-layer minimum-dissipation-Bardina models. AIP Advances, 11(1):015002, 2021.
Rosemary Sugrue. A Robust Momentum Closure Approach for Multiphase Computational Fluid Dynamics Applications. PhD thesis, MIT, 2017.
X. Sun, S. Kim, M. Ishii, and S.G. Beus. Modeling of bubble coalescence and disintegration in confined upward two-phase flow. Nuclear Engineering and Design, 230(1):3–26, 2004. 11th International Conference on Nuclear Energy.
William Sutherland. The viscosity of gases and molecular force. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 36(223):507–531, 1893.
M Tanaka and D Teramoto. Modulation of homogeneous shear turbulence laden with finite-size particles. Journal of Turbulence, 16(10):979–1010, 2015.
Mitsuru Tanaka. Effect of gravity on the development of homogeneous shear turbulence laden with finite-size particles. Journal of Turbulence, 18(12):1144–1179, 2017.
R. Temam. Une méthode d’approximation de la solution des équations de navier-stokes. S. M. F, 96:115–152, 1968.
Akio Tomiyama, Isao Kataoka, Iztok Zun, and Tadashi Sakaguchi. Drag coefficients of single bubbles under normal and micro gravity conditions. JSME International Journal Series B Fluids and Thermal Engineering, 1998.
Akio Tomiyama, Hidesada Tamai, Iztok Zun, and Shigeo Hosokawa. Transverse migration of single bubbles in simple and shear flows. Chemical Engineering Science, 57:1849–1858, 2002.
F. X. Trias, A. Gorobets, M. H. Silvis, R. W. C. P Verstappen, and A. Oliva. A new subgrid characteristic length for turbulence simulations on anisotropic grids. Physics of Fluids, 29(11):115109, 2017.
S. O. Unverdi and G. Tryggvason. A front-tracking method for viscous incompressible multi-fluid flows. Journal of Computational Physics, 100:25–37, 1992.
J. Volker. Lecture notes on numerical methods for incompressible flow problems II, https://www.wias-berlin.de/people/john/LEHRE/NUM_NSE_14/num_nse_4.pdfChapter 4, 2014.
A. W. Vreman. An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications. Physics of fluids, 16(10):3670–3681, 2004.
G. B. Wallis. Annular two-phase flow-part 1: a simple theory. Journal of Basic Engineering, 92(1):59–72, 3 1970.
R. W. Walters and L. Huyse. Uncertainty analysis for fluid mechanics with applications. Technical report, National aeronautics and space administration, Hampton, VA, Langley research center, 2002.
R. Walters. Towards stochastic fluid mechanics via polynomial chaos. In 41st AIAA Aerospace Sciences Meeting and Exhibit, Reno, USA, 2003.
Tiefeng Wang, Jinfu Wang, and Yong Jin. Theoretical prediction of flow regime transition in bubble columns by the population balance model. Chemical Engineering Science, 60(22):6199–6209, 2005.
M. Weickert, G. Teike, O. Schmidt, and M. Sommerfeld. Investigation of the LES WALE turbulence model within the lattice boltzmann framework. Computers & Mathematics with Applications, 59(7):2200–2214, 2010. Mesoscopic Methods in Engineering and Science.
M. Werner and M. Wengle. Large-eddy simulation of turbulent flow over and around a cube in a plate channel. In 8th Symposium on Turbulent Shear Flows, Munich, Germany, 1991.
David C. Wilcox. Reassessment of the scale-determining equation for advanced turbulence models. AIAA Journal, 26(11):1299–1310, nov 1988.
David C. Wilcox. Reassessment of the scale-determining equation for advanced turbulence models. AIAA Journal, 26(11):1299–1310, 1988.
David C. Wilcox. Turbulence Modeling for CFD. DCW Industries, 2006.
J. H. Williamson. Low-storage Runge-Kutta schemes. Journal of Computational Physics, 35(1):48–56, 1980.
D. Xiu and George E. Karniadakis. Modeling uncertainty in flow simulations via generalized polynomial chaos. Journal of computational physics, 187(1):137–167, 2003.
Wei Yao and Christophe Morel. Volumetric interfacial area prediction in upward bubbly two-phase flow. International Journal of Heat and Mass Transfer, 47(2):307–328, 2004.
A. Yoshizawa. Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling. Physics of Fluids, 29(7):2152–2164, 1986.
R. Zenit, D.L. Koch, and A.S Sangani. Measurements of the average proprieties of a suspension of bubbles rising in a vertical channel. Journal of Fluid Mechanics, 429:307–342, 2001.
Pei Zhou, Shiyang Hua, Cai Gao, Dongfang Sun, and Ronghua Huang. A mechanistic model for wall heat flux partitioning based on bubble dynamics during subcooled flow boiling. International Journal of Heat and Mass Transfer, 174:121–295, 2021.
Novak Zuber and J ASME Findlay. Average volumetric concentration in two-phase flow systems. 1965.
N. Zuber. On the dispersed two-phase flow in the laminar flow regime. Chemical Engineering Science, 19(11):897–917, 1964.