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Relevant bibliographies by topics / Les fluides de Cahn-Hilliard

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Academic literature on the topic 'Les fluides de Cahn-Hilliard'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Les fluides de Cahn-Hilliard"

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Boyer, Franck. "Nonhomogeneous Cahn–Hilliard fluids." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 18, no. 2 (2001): 225–59. http://dx.doi.org/10.1016/s0294-1449(00)00063-9.

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Lizhen Chen. "CAHN-HILLIARD VS SINGULAR CAHN-HILLIARD EQUATIONS IN SIMULATIONS OF IMMISCIBLE BINARY FLUIDS." Journal of Applied Analysis & Computation 8, no. 4 (2018): 1050–60. http://dx.doi.org/10.11948/2018.1050.

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Kotschote, Matthias, and Rico Zacher. "Strong solutions in the dynamical theory of compressible fluid mixtures." Mathematical Models and Methods in Applied Sciences 25, no. 07 (2015): 1217–56. http://dx.doi.org/10.1142/s0218202515500311.

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In this paper we investigate the compressible Navier–Stokes–Cahn–Hilliard equations (the so-called NSCH model) derived by Lowengrub and Truskinovsky. This model describes the flow of a binary compressible mixture; the fluids are supposed to be macroscopically immiscible, but partial mixing is permitted leading to narrow transition layers. The internal structure and macroscopic dynamics of these layers are induced by a Cahn–Hilliard law that the mixing ratio satisfies. The PDE constitute a strongly coupled hyperbolic–parabolic system. We establish a local existence and uniqueness result for str

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van Noije, T. P. C., and M. H. Ernst. "Cahn-Hilliard theory for unstable granular fluids." Physical Review E 61, no. 2 (2000): 1765–82. http://dx.doi.org/10.1103/physreve.61.1765.

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Kim, Junseok, Kyungkeun Kang, and John Lowengrub. "Conservative multigrid methods for Cahn–Hilliard fluids." Journal of Computational Physics 193, no. 2 (2004): 511–43. http://dx.doi.org/10.1016/j.jcp.2003.07.035.

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Lowengrub, J., and L. Truskinovsky. "Quasi–incompressible Cahn–Hilliard fluids and topological transitions." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 454, no. 1978 (1998): 2617–54. http://dx.doi.org/10.1098/rspa.1998.0273.

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Cimmelli, V. A., F. Oliveri, and A. R. Pace. "Phase-field evolution in Cahn–Hilliard–Korteweg fluids." Acta Mechanica 227, no. 8 (2016): 2111–24. http://dx.doi.org/10.1007/s00707-016-1625-2.

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Fabrizio, M., C. Giorgi, and A. Morro. "Phase separation in quasi-incompressible Cahn–Hilliard fluids." European Journal of Mechanics - B/Fluids 30, no. 3 (2011): 281–87. http://dx.doi.org/10.1016/j.euromechflu.2010.12.003.

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GURTIN, MORTON E., DEBRA POLIGNONE, and JORGE VIÑALS. "TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER." Mathematical Models and Methods in Applied Sciences 06, no. 06 (1996): 815–31. http://dx.doi.org/10.1142/s0218202596000341.

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A unified framework for coupled Navier-Stokes/Cahn-Hilliard equations is developed using, as a basis, a balance law for microforces in conjunction with constitutive equations consistent with a mechanical version of the second law. As a numerical application of the theory, we consider the kinetics of coarsening for a binary fluid in two space dimensions.

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Sibley, David N., Andreas Nold, and Serafim Kalliadasis. "Unifying binary fluid diffuse-interface models in the sharp-interface limit." Journal of Fluid Mechanics 736 (November 1, 2013): 5–43. http://dx.doi.org/10.1017/jfm.2013.521.

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AbstractRecent results published by Gugenberger et al. on surface diffusion (Phys. Rev. E, vol. 78, 2008, 016703), show that the sharp-interface limit of the phase field models often adopted in the literature fails to produce the appropriate boundary conditions. With this knowledge, we consider the sharp-interface limit of phase field models for binary fluids, obtained carefully, where hydrodynamic equations are coupled to phase field evolution based on Cahn–Hilliard or Allen–Cahn theories, in a variety of guises, and unify and contrast their forms and behaviours in the sharp-interface limit.

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Dissertations / Theses on the topic "Les fluides de Cahn-Hilliard"

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Seppecher, Pierre. "Les fluides de Cahn-Hilliard." Habilitation à diriger des recherches, Université du Sud Toulon Var, 1996. http://tel.archives-ouvertes.fr/tel-00522242.

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Welford, Richard R. "On the efficient numerical solution of Cahn-Hilliard fluids." Thesis, University of Sussex, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444350.

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Alkosseifi, Clara. "Méthodes bi-grilles en éléments finis pour les systèmes phase-fluide." Thesis, Amiens, 2018. http://www.theses.fr/2018AMIE0048/document.

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Cette thèse porte sur le développement, l'analyse et la mise en oeuvre de nouvelles méthodes bi-grilles en éléments finis pour des équations de réaction-diffusion de type champs de phase (Allen-Cahn, Cahn-Hilliard) ainsi que leur couplage avec les équations de Navier-Stokes 2D incompressible. La présence d'un petit paramètre (largeur de l'interface) dans les modèles à interface diffuse demande à utiliser des schémas temporels implicites et coûteux tandis que ceux semi implicites sont rapides mais limités en stabilité. Les nouveaux schémas introduits ici reposent sur l'utilisation conjointe de

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Seis, Christian. "Scaling laws in two models for thermodynamically driven fluid flows." Doctoral thesis, Universitätsbibliothek Leipzig, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-81228.

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In this thesis, we consider two models from physics, which are characterized by the interplay of thermodynamical and fluid mechanical phenomena: demixing (spinodal decomposition) and Rayleigh--Bénard convection. In both models, we investigate the dependencies of certain intrinsic quantities on the system parameters. The first model describes a thermodynamically driven demixing process of a binary viscous fluid. During the evolution, the two components of the mixture separate into two domains of the different equilibrium volume fractions. One observes a clear tendency: Larger domains grow at t

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Boyer, Franck. "Modélisation, Analyse et Approximation numérique en mécanique des fluides." Habilitation à diriger des recherches, Université de Provence - Aix-Marseille I, 2006. http://tel.archives-ouvertes.fr/tel-00104532.

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Ce travail est dédié à la mise en place de modèles d'écoulements de fluides complexes, à leur analyse théorique ainsi qu'au développement et à l'analyse de convergence de schémas numériques appropriés. <br /><br />Une première partie du travail concerne l'étude de modèles dits à interface diffuse pour les écoulements incompressibles multiphasiques. Après une étude assez précise du cadre diphasique, on propose la généralisation au cadre triphasique, ce qui nécessite d'introduire la notion importante de consistance des modèles. Des résultats numériques confirment la pertinence des modèles propos

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Grec, Bérénice. "Fluides complexes en films minces." Phd thesis, Ecole Centrale de Lyon, 2008. http://tel.archives-ouvertes.fr/tel-00351462.

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Cette thèse est consacrée à la modélisation, à l'analyse mathématique et à la simulation numérique d'écoulements de divers fluides complexes dans des domaines de faible épaisseur. En effet, les modèles de fluides newtoniens ne sont pas toujours suffisants pour décrire de manière réaliste les écoulements considérés. Plusieurs phénomènes peuvent être pris en compte :<br /> * le caractère complexe des fluides eux-mêmes, comme pour des fluides non-newtoniens ;<br /> * l'hétérogénéité de l'écoulement, dans le cas de mélanges de fluides par exemple.<br />Il est important d'analyser comment ces modèl

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Sayyid, Hosseini Babak [Verfasser], Stefan [Akademischer Betreuer] Turek, and Matthias [Gutachter] Möller. "Isogeometric analysis of Cahn-Hilliard phase field-based Binary-Fluid-Structure Interaction based on an ALE variational formulation / Babak Sayyid Hosseini ; Gutachter: Matthias Möller ; Betreuer: Stefan Turek." Dortmund : Universitätsbibliothek Dortmund, 2020. http://d-nb.info/1233483072/34.

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Introïni, Clément. "Interaction entre un fluide à haute température et un béton : contribution à la modélisation des échanges de masse et de chaleur." Thesis, Toulouse, INPT, 2010. http://www.theses.fr/2010INPT0074/document.

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Lors d'un hypothétique accident grave de réacteur à eau sous pression, un mélange de matériaux fondus, appelé corium, issu de la fusion du cœur peut se relocaliser dans le puits de cuve constitué par un radier en béton. Les codes d'évaluation réacteur pour simuler la phénoménologie de l'interaction corium-béton sont basés sur une description à grande échelle des échanges qui soulève de nombreuses questions, tant sur la prise en compte des phénomènes multi-échelles mis en jeu que sur la structure adoptée de la couche limite au voisinage du front d'ablation. Dans ce contexte, l'objectif principa

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Kwek, Keng-Huat. "On Cahn-Hilliard type equation." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/28819.

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Boyer, Franck. "Ecoulements diphasiques de type Cahn-Hilliard." Bordeaux 1, 2001. http://www.theses.fr/2001BOR10509.

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Dans la premiere partie de la these, on etablit un nouveau modele pour l'etude des ecoulements diphasiques base sur la theorie de cahn et hilliard pour la description d'une interface diffuse et sur les principes fondamentaux de la mecanique des fluides. Ce modele est ensuite valide par la mise en place d'une methode numerique qui permet de verifier que le modele propose est pertinent dans des cas physiques varies. On peut par exemple retrouver des resultats experimentaux concernant la decomposition spinodale sous cisaillement qui rendent compte du couplage entre la thermodynamique et l'hydrody

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Books on the topic "Les fluides de Cahn-Hilliard"

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Miranville, Alain. The Cahn–Hilliard Equation: Recent Advances and Applications. Society for Industrial and Applied Mathematics, 2019. http://dx.doi.org/10.1137/1.9781611975925.

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Book chapters on the topic "Les fluides de Cahn-Hilliard"

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van Brummelen, E. H., M. Shokrpour-Roudbari, and G. J. van Zwieten. "Elasto-Capillarity Simulations Based on the Navier–Stokes–Cahn–Hilliard Equations." In Advances in Computational Fluid-Structure Interaction and Flow Simulation. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-40827-9_35.

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Abels, Helmut, and Josef Weber. "Stationary Solutions for a Navier-Stokes/Cahn-Hilliard System with Singular Free Energies." In Recent Developments of Mathematical Fluid Mechanics. Springer Basel, 2016. http://dx.doi.org/10.1007/978-3-0348-0939-9_3.

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Climent-Ezquerra, Blanca, and Francisco Guillén-González. "Long-Time Behavior of a Cahn-Hilliard-Navier-Stokes Vesicle-Fluid Interaction Model." In SEMA SIMAI Springer Series. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32013-7_8.

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Abels, Helmut, and Stefan Schaubeck. "Nonconvergence of the Capillary Stress Functional for Solutions of the Convective Cahn-Hilliard Equation." In Mathematical Fluid Dynamics, Present and Future. Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-56457-7_1.

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Constantin, P., C. Foias, B. Nicolaenko, and R. Teman. "Application: The Cahn—Hilliard Equation." In Applied Mathematical Sciences. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3506-4_18.

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Munteanu, Ionuţ. "Stabilization of the Cahn–Hilliard System." In Progress in Nonlinear Differential Equations and Their Applications. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11099-4_5.

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Blank, Luise, Martin Butz, Harald Garcke, Lavinia Sarbu, and Vanessa Styles. "Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques." In International Series of Numerical Mathematics. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0133-1_2.

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Villain-Guillot, Simon. "1D Cahn–Hilliard Dynamics: Coarsening and Interrupted Coarsening." In Discontinuity and Complexity in Nonlinear Physical Systems. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01411-1_9.

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Kulikov, A., and D. Kulikov. "Local Bifurcations in the Generalized Cahn-Hilliard Equation." In Differential and Difference Equations with Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56323-3_14.

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Miranville, Alain. "A Generalized Cahn-Hilliard Equation with Logarithmic Potentials." In Studies in Systems, Decision and Control. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19075-4_8.

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Conference papers on the topic "Les fluides de Cahn-Hilliard"

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Park, Keunsoo, Carlos A. Dorao, Ezequiel M. Chiapero, and Maria Fernandino. "The Least Squares Spectral Element Method for the Navier-Stokes and Cahn-Hilliard Equations." In ASME/JSME/KSME 2015 Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/ajkfluids2015-21668.

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The least squares spectral element method (LS-SEM) offers many advantages in the implementation of the finite element model compared with the traditional weak Galerkin method. In this article, the LS-SEM is used to solve the Navier-Stokes (NS) and the Cahn-Hilliard (CH) equations. The NS equation is solved with both C0 and C1 basis functions and their performance is compared in terms of accuracy. A two-dimensional steady-state solver is verified with the case of Kovasznay flow and validated for the cavity flow, and a two-dimensional unsteady solver is verified by a transient manufactured solut

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Seta, Takeshi, Kenichi Okui, and Eisyun Takegoshi. "Lattice Boltzmann Simulation of Nucleation." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45163.

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We propose a lattice Boltzmann model capable of simulating nucleation. This LBM modifies a pseudo-potential so that it recovers a full set of hydrodynamic equations for two-phase flows based on the van der Waals-Cahn-Hilliard free energy theory through the Chapman-Enskog expansion procedure. Numerical measurements of thermal conductivity and of surface tension agree well with theoretical predictions. Simulations of phase transition, nucleation, pool boiling are carried out. They demonstrate that the model is applicable to two-phase flows with thermal effects. Using finite difference Lattice Bo

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Takada, Naoki. "Application of Interface-Tracking Method Based on Phase-Field Model to Numerical Analysis of Isothermal and Thermal Two-Phase Flows." In ASME/JSME 2007 5th Joint Fluids Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/fedsm2007-37567.

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For interface-tracking simulation of two-phase flows in various micro-fluidics devices, the applicability of two versions of Navier-Stokes phase-field method (NS-PFM) was examined, combining NS equations for a continuous fluid with a diffuse-interface model based on the van der Waals-Cahn-Hilliard free-energy theory. Through the numerical simulations, the following major findings were obtained: (1) The first version of NS-PFM gives good predictions of interfacial shapes and motions in an incompressible, isothermal two-phase fluid with high density ratio on solid surface with heterogeneous wett

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Park, Keunsoo, Carlos A. Dorao, and Maria Fernandino. "Numerical Solution of Coupled Cahn-Hilliard and Navier-Stokes System Using the Least-Squares Spectral Element Method." In ASME 2016 Fluids Engineering Division Summer Meeting collocated with the ASME 2016 Heat Transfer Summer Conference and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/fedsm2016-1008.

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We consider the least-squares spectral element method to solve the phase field model for two immiscible, incompressible and density-matched fluids. The coupled Cahn-Hilliard and Navier-Stokes system is selected as the numerical model, which was introduced by Hohenberg et al. [1]. The least-squares spectral element scheme is combined with a time-space formulation where both time and space domains are discretized by the same finite element approach to cope with time dependent multidimensional problems in an efficient way. C1 Hermite basis functions are applied for approximating the coupled syste

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Takada, Naoki, Akio Tomiyama, and Shigeo Hosokawa. "Lattice Boltzmann Simulation of Drops in a Shear Flow." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45166.

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In this paper, we present simulation results of two- and three-dimensional motions of drops in a shear flow based on the lattice Boltzmann method (LBM), where a macroscopic fluid flow results from averaging collisions and propagations of mesoscopic particles. The binary fluid model in LBM used here can reproduce two-phase interface in a self-organizing way by repulsive interaction between particles consistent with the van der Waals-Cahn-Hilliard free energy theory. A finite difference scheme is applied to the lattice-Boltzmann equations governing time evolution of velocity distributions of par

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Takada, Naoki, Masaki Misawa, and Akio Tomiyama. "A Phase-Field Method for Interface-Tracking Simulation of Two-Phase Flows." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77367.

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For interface-tracking simulation of two-phase flows, we propose a new computational method, NS-PFM, combining Navier-Stokes (NS) equations with phase-field model (PFM). Based on the free energy theory, PFM describes an interface as a volumetric zone across which physical properties vary continuously. Surface tension is defined as an excessive free energy per unit area induced by density gradient. Consequently, PFM simplifies the interface-tracking procedure by use of a standard technique. The proposed NS-PFM was applied to several problems of incompressible, isothermal two-phase flow with the

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Takada, Naoki, and Akio Tomiyama. "Interface-Tracking Simulation of Two-Phase Flows by Phase-Field Method." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98536.

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The purpose of this study is to examine multi-physics computational fluid dynamics method, NS-PFM, which is a combination of Navier-Stokes (NS) equations with phase-field model (PFM) based on the free-energy theory, for interface-capturing/tracking simulation of two-phase flows. First, a new NS-PFM which we have proposed was applied to immiscible, incompressible, isothermal two-phase flow problems with a high density ratio equivalent to that of an air-water system. In this method, a Cahn-Hilliard equation was used for prediction of diffusive interface configuration. The numerical simulations d

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Banari, Amir, Stephan T. Grilli, and Christian F. Janssen. "Two Phase Flow Simulation With Lattice Boltzmann Method: Application to Wave Breaking." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10102.

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A new Lattice Boltzmann method (LBM) is developed to efficiently simulate multiphase flows with high density ratios, in order to study complex air-sea interaction problems, such as wind wave breaking and related sea-spray generation. In this method, which builds and improves on the method proposed earlier by [1], the motion of (diffusive) interfaces between fluids is modeled by solving the convective Cahn-Hilliard equation with the LBM. As in the latter work, we eliminate instabilities resulting from high density ratios by solving an additional Poisson equation for the fluid pressure. The resu

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Meekunnasombat, Phongsan, Florian Fichot, and Michel Quintard. "Numerical Simulation of Two-Phase Flow in Severely Damaged Core Geometries." In 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/icone14-89300.

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In the event of a severe accident in a nuclear reactor, the oxidation, dissolution and collapse of fuel rods is likely to change dramatically the geometry of the core. A large part of the core would be damaged and would look like porous medium made of randomly distributed pellet fragments, broken claddings and relocated melts. Such a complex medium must be cooled in order to stop the accident progression. IRSN investigates the effectiveness of the water re-flooding mechanism in cooling this medium where complex two-phase flows are likely to exist. A macroscopic model for the prediction of the

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Zhou, Shiwei, and Michael Yu Wang. "The Generalized Cahn-Hilliard Equations of Multiphase Transition for Structural Topology Optimization." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84751.

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This paper describes a generalized Cahn-Hilliard model for the topology optimization of multi-material structure. Unlike the traditional Cahn-Hilliard model applied to spinodal separation which only has bulk energy and interface energy, the generalized model couples the elastic energy into the total free energy. As a result, the morphology of the small phase domain during phase separation and grain coarsening process is not random islands and zigzag web-like objects but regular truss structure. Although disturbed by elastic energy, the Cahn-Hilliard system still keeps its two most important pr

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Reports on the topic "Les fluides de Cahn-Hilliard"

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Gomez, Hector, Victor M. Calo, Yuri Bazilevs, and Thomas J. Hughes. Isogeometric Analysis of the Cahn-Hilliard Phase-Field Model. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada478754.

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Xia, Yinhua, Yan Xu, and Chi-Wang Shu. Local Discontinuous Galerkin Methods for the Cahn-Hilliard Type Equations. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada464873.

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