Relevant bibliographies by topics / Two-phase incompressible flows

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Two-phase incompressible flows'

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Published: 2 September 2023

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Journal articles on the topic "Two-phase incompressible flows"

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Theillard, Maxime, Frédéric Gibou, and David Saintillan. "Sharp numerical simulation of incompressible two-phase flows." Journal of Computational Physics 391 (August 2019): 91–118. http://dx.doi.org/10.1016/j.jcp.2019.04.024.

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Christafakis, A., J. Alexopoulos, and S. Tsangaris. "Modelling of two-phase incompressible flows in ducts." Applied Mathematical Modelling 33, no. 3 (March 2009): 1201–12. http://dx.doi.org/10.1016/j.apm.2008.01.014.

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Compère, Gaëtan, Emilie Marchandise, and Jean-François Remacle. "Transient adaptivity applied to two-phase incompressible flows." Journal of Computational Physics 227, no. 3 (January 2008): 1923–42. http://dx.doi.org/10.1016/j.jcp.2007.10.002.

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CAI, LI, JUN ZHOU, FENG-QI ZHOU, and WEN-XIAN XIE. "A HYBRID SCHEME FOR THREE-DIMENSIONAL INCOMPRESSIBLE TWO-PHASE FLOWS." International Journal of Applied Mechanics 02, no. 04 (December 2010): 889–905. http://dx.doi.org/10.1142/s1758825110000810.

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We present a hybrid scheme for computations of three-dimensional incompressible two-phase flows. A Poisson-like pressure equation is deduced from the incompressible constraint, i.e., the divergence-free condition of the velocity field, via an extended marker and cell method, and the moment equations in the 3D incompressible Navier–Stokes equations are solved by our 3D semi-discrete Hermite central-upwind scheme. The interface between the two fluids is considered to be the 0.5 level set of a smooth function being a smeared out Heaviside function. Numerical results are offered to verify the desired efficiency and accuracy of our 3D hybrid scheme.
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Watanabe, Keiichi. "Compressible–Incompressible Two-Phase Flows with Phase Transition: Model Problem." Journal of Mathematical Fluid Mechanics 20, no. 3 (December 4, 2017): 969–1011. http://dx.doi.org/10.1007/s00021-017-0352-3.

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Jun, Zhou, Cai Li, and Zhou Feng-Qi. "A hybrid scheme for computing incompressible two-phase flows." Chinese Physics B 17, no. 5 (May 2008): 1535–44. http://dx.doi.org/10.1088/1674-1056/17/5/001.

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Degond, Pierre, Piotr Minakowski, and Ewelina Zatorska. "Transport of congestion in two-phase compressible/incompressible flows." Nonlinear Analysis: Real World Applications 42 (August 2018): 485–510. http://dx.doi.org/10.1016/j.nonrwa.2018.02.001.

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Bhat, Sourabh, and J. C. Mandal. "Contact preserving Riemann solver for incompressible two-phase flows." Journal of Computational Physics 379 (February 2019): 173–91. http://dx.doi.org/10.1016/j.jcp.2018.10.039.

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Sussman, M., K. M. Smith, M. Y. Hussaini, M. Ohta, and R. Zhi-Wei. "A sharp interface method for incompressible two-phase flows." Journal of Computational Physics 221, no. 2 (February 2007): 469–505. http://dx.doi.org/10.1016/j.jcp.2006.06.020.

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Zaspel, Peter, and Michael Griebel. "Solving incompressible two-phase flows on multi-GPU clusters." Computers & Fluids 80 (July 2013): 356–64. http://dx.doi.org/10.1016/j.compfluid.2012.01.021.

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Dissertations / Theses on the topic "Two-phase incompressible flows"

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Sherif, Ahmed. "Compact High-Order Accurate Scheme for Laminar Incompressible Two-Phase Flows." Electronic Thesis or Diss., Ecole centrale de Nantes, 2023. http://www.theses.fr/2023ECDN0004.

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L'objectif de cette thèse est de développer une méthode précise d'ordre élevé pour résoudre le problème d'écoulementlaminaire incompressible à deux phases. Trois tâches principales sont à accomplir. Premièrement, la méthode doit être stable en énergie, ce qui signifie que la condition sans divergence de l'équation de Navier-Stokes incompressible est satisfaite partout dans le domaine de calcul. Deuxièmement, les discontinuités locales apparaissant dans le champ d'écoulement diphasique doivent être capturées avec précision. Troisièmement, l'interface matérielle entre les deux fluides doit être représentée avec précision à chaque pas de temps. Dans ce travail, une nouvelle méthode Hybridizable Discontinuous Galerkin (HDG) est utilisée pour la discrétisation spatiale. Cette méthode hybride qui appartient à la famille des méthodes DG-FEM satisfait la condition sans divergence en introduisant des variables de trace de vitesse et de pression du même ordre plus une approximation de vitesse et de pression adaptée à l'intérieur des éléments. Deplus, les concepts de FEM eXtended (X-FEM) sont utilisés pour approximer les discontinuités dans le champ d'écoulement en enrichissant l'approximation FEM standard dans les éléments où deux fluides existent. Enfin, l'interface du matériau en mouvement entre les deux fluides est capturée à l'aide de la méthode Level-Set
The objective of this thesis is to develop a high-order accurate method to solve the two-phase incompressible laminar flowproblem. Three main tasks are to be achieved. First, the method has to be energy-stable meaning that the divergence-free condition of the incompressible Navier-Stokes equation is satisfied everywhere in the computational domain. Second, the local discontinuities arising in the two-phase flow field have to be captured accurately. Third, the material interface betweenthe two fluids has to be represented accurately in each time step. In this work, a novel Hybridizable Discontinuous Galerkin (HDG) method is used for the spatial discretization. This hybrid method that belongs to the family of DG-FEM methods satisfies the divergence-free condition by introducing velocity and pressure trace variables of the same order plus a tailoredvelocity and pressure approximation inside the elements. Furthermore, the concepts of eXtended FEM (X-FEM) are used toapproximate discontinuities in the flow field by enriching the standard FEM approximation in elements where two fluids exist. Finally, the moving material interface between the twofluids is captured using the Level-Set method
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Djati, Nabil. "Study of interface capturing methods for two-phase flows." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEI052/document.

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Cette thèse est consacrée au développement et à la comparaison des méthodes de suivi d'interface pour les écoulements diphasiques incompressibles. Elle s'intéresse à la sélection de méthodes robustes de suivi d'interface, puis à leur couplage avec le solveur des équations de Navier-Stokes. La méthode level-set est en premier lieu étudiée, en particulier l'influence du schéma d'advection et de l'étape de réinitialisation sur la qualité des résultats du suivi d'interface. Il a été montré que la méthode de réinitialisation avec contrainte de volume est robuste et précise en combinaison avec des schémas conservatifs WENO d'ordre 5 pour l'advection. Il a été constaté que les erreurs du suivi d'interface augmentent de manière abrupte lorsque la condition CFL est trop petite. Comme remède, la réinitialisation du champ level-set effectuée moins souvent réduit la diffusion numérique et le déplacement non-physique de l'interface. La conservation de la masse n'est pas assurée avec les méthodes level-set. Les méthodes VOF (volume-of-fluid) qui conservent naturellement la masse du fluide de référence sont alors étudiées. Une résolution géométrique avec un schéma consistent et conservatif est alors adoptée, ainsi qu'une autre technique alternative plus aisément extensible en 3D. Il a été trouvé que ces deux dernières méthodes donnent des résultats très proches. La méthode MOF (moment-of-fluid), qui reconstruit l'interface en utilisant le centre de masse du fluide de référence, est plus précise que les méthodes VOF. Différentes méthodes couplées entre level-set et VOF sont alors étudiées, notamment: CLSVOF, MCLS, VOSET et CLSMOF. Il a été observé que la méthode level-set tend à épaissir les filaments minces, tandis que VOF et les méthodes couplées les fragmentent en petites particules. Finalement, on a couplé les méthodes level-set et VOF avec le solveur incompressible des équations de Navier-Stokes. On a comparé différentes manières de prise en compte des conditions de saut à l'interface (lisse et raide). Il a été montré que les méthodes VOF sont plus robustes, et donnent d'excellents résultats pour quasiment toutes les simulations. Deux méthodes level-set donnant de très bons résultats, comparables à ceux de VOF, sont aussi identifiées
This thesis is devoted to the development and comparison of interface methods for incompressible two-phase flows. It focuses on the selection of robust interface capturing methods, then on the manner of their coupling with the Navier-stokes solver. The level-set method is first investigated, in particular the influence of the advection scheme and the reinitialization step on the accuracy of the interface capturing. It is shown that the volume constraint method for reinitialization is robust and accurate in combination with the conservative fifth-order WENO schemes for the advection. It is found that interface errors increase drastically when the CFL number is very small. As a remedy, reinitializing the level-set field less often reduces the amount of numerical diffusion and non-physical interface displacement. Mass conservation is, however, not guaranteed with the level-set methods. The volume-of-fluid (VOF) method is then investigated, which naturally conserves the mass of the reference fluid. A geometrical consistent and conservative scheme is adopted, then an alternative technique more easily extended to 3D. It is found that both methods give very similar results. The moment-of-fluid (MOF) method, which reconstructs the interface using the reference fluid centroid, is found to be more accurate than the VOF methods. Different coupled level-set and VOF methods are then investigated, namely: CLSVOF, MCLS, VOSET and CLSMOF. It is observed that the level-set method tends to thicken thin filaments, whereas the VOF and coupled methods break up thin structures in small fluid particles. Finally, we coupled the level-set and volume-of-fluid methods with the incompressible Navier-Stokes solver. We compared different manners (sharp and smoothed) of treating the interface jump conditions. It is shown that the VOF methods are more robust, and provide excellent results for almost all the performed simulations. Two level-set methods are also identified that give very good results, comparable to those obtained with the VOF methods
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Banyai, Tamas. "Development of Stabilized Finite Element Method for Numerical Simulation of Turbulent Incompressible Single and Eulerian-Eulerian Two-Phase Flows." Doctoral thesis, Universite Libre de Bruxelles, 2016. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/235110.

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The evolution of numerical methods and computational facilities allow re- searchers to explore complex physical phenomenons such as multiphase flows. The specific regime of incompressible, turbulent, bubbly two-phase flow (where a car- rier fluid is infused with bubbles or particles) is also receiving increased attention due to it’s appearance in major industrial processes. The main challenges arise from coupling individual aspects of the physics into a unified model and to provide a robust numerical framework. The presented work aimed at to achieve the second part by employing the most frequently used dispersed two-phase flow model and another incompressible, turbulent single phase solver as a base flow provider for coupled Lagrangian or surface tracking tools. Among the numerical techniques, the finite element method is a powerful can- didate when the need arises for multiphysics simulations (for example coupling with an electrochemical module) where the counterpart has a node based ap- proach. Stabilization schemes such as PSPG/SUPG/BULK provide remedies for the pressure decoupling and the inherent instability of the central discretization when applied for convective flow problems. As an alternative to unsteady solvers based upon an explicit or a fully im- plicit nonlinear treatment of the convective terms, a semi-implicit scheme results in a method of second order accurate in both space and time, has absolute linear stability and requires only a single or two linear system solution per time step. The application of the skew symmetric approach to the convective term further stabilizes the solution procedure and in some cases it even prevents divergence. The Eulerian-Eulerian two-phase flow model poses various issues to be over- come. The major difficulty is the density ratio between the phases; for an ordinary engineering problem it is in the order of thousands or more. The seemingly minus- cule differences in the formulation of the stabilizations can cause very different end results and require careful analysis. Volume fraction boundedness is of concern as well, but it is treatable by solving for its logarithm. Since the equations allow jumps (even separation of the phases) in the volume fraction field, discontinuity capturing techniques are also needed. Besides the standard ’spatial’ stabilization temporal smoothing is also necessary, otherwise the limitation in time step size becomes too stringent. Designing a flow solver is one side of the adventure, but verification is equally important. Comparison against analytical solution (such as the single and two- phase Taylor-Green testcase) provides insight and confirmation about the mathe- matical and physical properties. Meanwhile comparing with real life experiments prove the industrialization and usability of a code, dealing with low quality meshes and effective utilization of computer clusters.
Doctorat en Sciences de l'ingénieur et technologie
info:eu-repo/semantics/nonPublished
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Johansson, Niklas. "Implementation of a standard level set method for incompressible two-phase flow simulations." Thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-154651.

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The level set method is a powerful way of tracking surfaces by defining the surface as a zero level set of a continuous function that is usually a signed distance function. The level set method is one of the best methods for simulating multi-phase flow because it can easily handle fast topological changes, as well as splitting and merging of fluids. In this thesis, a standard level set method was implemented in C++, using the finite element method library deal.II, to simulate incompressible two-phase flow on some benchmark problems. The results show a significant change of mass in the simulations, something that should not be allowed to happen when simulating incompressible fluids. The mass changes mainly occur in the reinitialization phase, where the level set function is rebuilt to look more like a signed distance function.
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Cheng, Kwok Wah [Verfasser]. "h- and p-XFEM with application to two-phase incompressible flow / Kwok Wah Cheng." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2011. http://d-nb.info/1018215921/34.

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Kelly, Jesse. "Numerical solution of the two-phase incompressible navier-stokes equations using a gpu-accelerated meshless method." Honors in the Major Thesis, University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETH/id/1277.

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This item is only available in print in the UCF Libraries. If this is your Honors Thesis, you can help us make it available online for use by researchers around the world by following the instructions on the distribution consent form at http://library.ucf.edu/Systems/DigitalInitiatives/DigitalCollections/InternetDistributionConsentAgreementForm.pdf You may also contact the project coordinator, Kerri Bottorff, at kerri.bottorff@ucf.edu for more information.
Bachelors
Engineering and Computer Science
Mechanical Engineering
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PIMENTEL, ISMAEL ANDRADE. "AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
Esta tese propõe um método meshfree adaptativo de advecção para problemas de fluxo bifásico de fluidos incompressíveis e imiscíveis em meios porosos heterogêneos tridimensionais. Este método se baseia principalmente na combinação do método Semi-Lagrangeano adaptativo com interpolação local meshfree usando splines poliharmônicas como funções de base radial. O método proposto é uma melhoria e uma extensão do método adaptativo meshfree AMMoC proposto por Iske e Kaser (2005) para modelagem 2D de reservatórios de petróleo. Inicialmente este trabalho propõe um modelo em duas dimensões, contribuindo com uma melhoria significativa no cálculo do Laplaciano, utilizando os métodos meshfree de Hermite e Kansa. Depois, o método é ampliado para três dimensões (3D) e para um meio poroso heterogêneo. O método proposto é testado com o problema de five spot e os resultados são comparados com os obtidos por sistemas bem conhecidos na indústria de petróleo.
This thesis proposes an adaptive meshfree advection method for two-phase flow problems of incompressible and immiscible fluids through three-dimensional heterogeneous porous media. This method is based mainly on a combination of adaptive semi-Lagrangian method with local meshfree interpolation using polyharmonic splines as radial basis functions. The proposed method is an improvement and extension of the adaptive meshfree advection scheme AMMoC proposed by Iske and Kaser (2005) for 2D oil reservoir modeling. Initially this work proposes a model in two dimensions, contributing to a significant improvement in the calculation of the Laplacian, using the meshfree methods of Hermite and Kansa. Then, the method is extended to three dimensions (3D) and a heterogeneous porous medium. The proposed method is tested with the five spot problem and the results are compared with those obtained by well-known systems in the oil industry.
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Lin, Po-Hsien. "Solving First-Order Hyperbolic Problems For Wave Motion in Nearly Incompressible fluids, Two-Phase Fluids, and Viscoelastic Media By the CESE Method." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1420552163.

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Heimann, Felix [Verfasser], and Peter [Akademischer Betreuer] Bastian. "An Unfitted Higher-Order Discontinuous Galerkin Method for Incompressible Two-Phase Flow with Moving Contact Lines / Felix Heimann ; Betreuer: Peter Bastian." Heidelberg : Universitätsbibliothek Heidelberg, 2013. http://d-nb.info/117738101X/34.

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Zhang, Xin. "Étude qualitative des solutions du système de Navier-Stokes incompressible à densité variable." Thesis, Paris Est, 2017. http://www.theses.fr/2017PESC1215/document.

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Dans cette thèse, on s'intéresse à deux problèmes provenant de l'étude mathématique des fluides incompressibles visqueux : la propagation de la régularité tangentielle et le mouvement d'une surface libre.La première question concerne plus particulièrement l'étude qualitative de l'évolution de quantités thermodynamiques telles que la température dans l'équation de Boussinesq sans diffusion et la densité dans le système de Navier-Stokes non homogène. Typiquement, on suppose que ces deux quantités sont, à l'instant initial, discontinues le long d'une interface à régularité h"oldérienne. Comme conséquence de résultats de propagation de régularité tangentielle pour le champ de vitesses, on établit que la régularité des interfaces persiste pour tout temps aussi bien en dimension deux d'espace, qu'en dimension supérieure (avec condition de petitesse). Notre approche suit celle du travail de J.-Y. Chemin dans les années 90 pour le problème des poches de tourbillon dans les fluides incompressiblesparfaits.Dans le cas présent, outre cette hypothèse de régularité tangentielle, nous n'avons besoin que d'une régularité critique sur le champ de vitesses.La démonstration repose sur le calcul para-différentiel et les espaces de multiplicateurs.Dans la dernière partie de la thèse, on considère le problème à frontière libre pour le système de Navier-Stokes incompressible à deux phases. Ce système permet de décrire l'évolution d'un mélange de deux fluides non miscibles tels que l'huile et l'eau par exemple. Différents cas de figure sont étudiés : le cas d'un réservoir borné, d'une goutte ou d'une rivière à profondeur finie.On établit l'existence et l'unicité à temps petit pour ce problème. Notre démonstration repose fortement sur des propriétés de régularité maximale parabolique de type $L_p$-$L_q
This thesis is dedicated to two different problems in the mathematical study of the viscous incompressible fluids: the persistence of tangential regularity and the motion of a free surface.The first problem concerns the study of the qualitative properties of some thermodynamical quantities in incompressible fluid models, such as the temperature for Boussinesq system with no diffusion and the density for the non-homogeneous Navier-Stokes system. Typically, we assume those two quantities to be initially piecewise constant along an interface with H"older regularity.As a consequence of stability of certain directional smoothness of the velocity field, we establish that the regularity of the interfaces persist globally with respect to time both in the two dimensional and higher dimensional cases (under some smallness condition). Our strategy is borrowed from the pioneering works by J.-Y.Chemin in 1990s on the vortex patch problem for ideal fluids.Let us emphasize that, apart from the directional regularity, we only impose rough (critical) regularity on the velocity field. The proof requires tools from para-differential calculus and multiplier space theory.In the last part of this thesis, we are concerned with the free boundary value problem for two-phase density-dependent Navier-Stokes system.This model is used to describe the motion of two immiscible liquids, like the oil and the water. Such mixture may occur in different situations, such as in a fixed bounded container, in a moving bounded droplet or in a river with finite depth. We establish the short time well-posedness for this problem. Our result strongly relies on the $L_p$-$L_q$ maximal regularity theoryfor parabolic equations
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Books on the topic "Two-phase incompressible flows"

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Gross, Sven, and Arnold Reusken. Numerical Methods for Two-phase Incompressible Flows. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19686-7.

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Reusken, Arnold, and Sven Gross. Numerical Methods for Two-Phase Incompressible Flows. Springer, 2011.

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Reusken, Arnold, and Sven Gross. Numerical Methods for Two-phase Incompressible Flows. Springer, 2013.

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Numerical Methods For Twophase Incompressible Flows. Springer, 2011.

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Book chapters on the topic "Two-phase incompressible flows"

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Vincent, Stéphane, Jean-Luc Estivalézes, and Ruben Scardovelli. "Compressible (Low-Mach) Two-Phase Flows." In Small Scale Modeling and Simulation of Incompressible Turbulent Multi-Phase Flow, 171–87. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-09265-7_6.

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Gerstenberger, Janick, Samuel Burbulla, and Dietmar Kröner. "Discontinuous Galerkin Method for Incompressible Two-Phase Flows." In Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, 675–83. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43651-3_64.

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Prüss, Jan, Senjo Shimizu, Gieri Simonett, and Mathias Wilke. "On Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension." In Recent Developments of Mathematical Fluid Mechanics, 411–42. Basel: Springer Basel, 2016. http://dx.doi.org/10.1007/978-3-0348-0939-9_22.

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Zuzio, Davide, and Jean-Luc Estivalezes. "A Parallel Adaptive Projection Method for Incompressible Two Phase Flows." In Computational Fluid Dynamics 2010, 841–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17884-9_106.

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Rieber, Martin, and Arnold Frohn. "Parallel Computation of Interface Dynamics in Incompressible Two-Phase Flows." In High Performance Computing in Science and Engineering ’99, 241–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-59686-5_21.

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Abels, Helmut, and Harald Garcke. "Weak Solutions and Diffuse Interface Models for Incompressible Two-Phase Flows." In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 1–60. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-10151-4_29-1.

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Abels, Helmut, Harald Garcke, Günther Grün, and Stefan Metzger. "Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities." In Transport Processes at Fluidic Interfaces, 203–29. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56602-3_8.

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Gross, Sven. "Pressure XFEM for two-phase incompressible flows with application to 3D droplet problems." In Meshfree Methods for Partial Differential Equations V, 81–87. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16229-9_5.

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Abels, Helmut, YuNing Liu, and Andreas Schöttl. "Sharp Interface Limits for Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible Fluids." In Transport Processes at Fluidic Interfaces, 231–53. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56602-3_9.

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Vincent, S., and J.-P. Caltagirone. "Solving Incompressible Two-Phase Flows with a Coupled TVD Interface Tracking / Local Mesh Refinement Method." In Godunov Methods, 1007–14. Boston, MA: Springer US, 2001. http://dx.doi.org/10.1007/978-1-4615-0663-8_93.

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Conference papers on the topic "Two-phase incompressible flows"

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Maunter, T. "Confined two-phase incompressible flows." In Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-2303.

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Mautner, T. "Low speed, two-phase, incompressible jet flows." In Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-2090.

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Kelly, J. M., E. A. Divo, and A. J. Kassab. "A GPU-accelerated meshless method for two-phase incompressible fluid flows." In BEM/MRM 2013. Southampton, UK: WIT Press, 2013. http://dx.doi.org/10.2495/bem130021.

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Niu, Yang-Yao. "Numerical Simulation of Low-Speed Two Phase Flows Based on Preconditioning." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-04005.

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This paper first applies flux vector type splitting method based on numerical speed of sound for computing incompressible single and multi-fluid flows. Here, a preconditioning matrix based on Chorin’s artificial compressibility concept is used to modify the incompressible multi-fluid Navier-Stokes Equations to be hyperbolic and density or volume fraction independent. The current approach can reduce eigenvalues disparity induced from density or volume fraction ratio and enhance numerical stability. Also, a simple convection-pressure flux-splitting method with high-order essentially non-oscillatory (ENO) type primitive variable extrapolations coupling with an ENO-MUSCL type volume fraction recompressed reconstruction within a mesh cell is used to maintain the preservation of sharp interface evolutions in multi-fluid flow simulation. Benchmark tests including a solid rotation test of a notched 2D cylinder, the evolution of spiral and rotational shapes of deformable circles, a dam breaking problem, the Rayleigh-Taylor instability and the cavitated flow problems are chosen to validate the current incompressible multi-fluid methodology.
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5

Boivin, Sylvain, Florent Cayre, and Jean-Marc Herard. "A finite volume scheme to compute incompressible gas-solid two-phase flows." In Fluids 2000 Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-2665.

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6

Wang, Zhaoyuan, and Albert Y. Tong. "A Sharp Surface Tension Modeling Method for Capillarity-Dominant Two-Phase Incompressible Flows." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42455.

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A surface tension implementation algorithm for two-phase incompressible interfacial flows is presented in this study. The surface tension effect is treated as a jump condition at the interface and incorporated into the Navier-Stokes equation via a capillary pressure gradient. The interface is tracked by a coupled level set and volume-of-fluid (CLSVOF) method based on the finite-volume formulation on a fixed Eulerian grid. It has been shown in a stationary benchmark test the spurious currents are greatly reduced and the sharp pressure jump across the interface is well preserved. Numerical instabilities caused by the sharp treatment on a fixed grid are avoided. Several dynamic tests are performed to further validate the accuracy and versatility of the present method, the results of which are in good agreement with data reported in the literature.
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7

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 demonstrated that (1) predicted collapse of two-dimensional liquid column in a gas under gravity agreed well with available data at aspect ratios of column = 1 and 2, and (2) coalescence of free-fall drops into a liquid film was successfully simulated in three dimensions. Second, we took heat transfer into account in another NS-PFM which solves a full set of NS equations and the van-der-Waals equation of state. Through a numerical simulation of a non-ideal fluid flow in the vicinity of the critical point, it was confirmed that the NS-PFM is applicable to thermal liquid-vapor flow problems with phase change.
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Kamali, R., and S. A. Shekoohi. "Two Algorithms for Solving Coupled Particle Dynamics and Flow Field Equations in Two-Phase Flows." In ASME 2010 8th International Conference on Nanochannels, Microchannels, and Minichannels collocated with 3rd Joint US-European Fluids Engineering Summer Meeting. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30443.

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Two methods for solving coupled particle dynamics and flow field equations simultaneously by considering fluid-particle interactions to simulate two-phase flow are presented and compared. In many conditions, such as magnetic micro mixers and shooting high velocity particles in fluid, the fluid-particle interactions can not be neglected. In these cases it is necessary to consider fluid-particle interactions and solve the related coupled equations simultaneously. To solve these equations, suitable algorithms should be used to improve convergence speed and solution accuracy. In this paper two algorithms for solving coupled incompressible Navier-Stokes and particle dynamics equations are proposed and their efficiencies are compared by using them in a computer program. The main criterion that is used for comparison is the time they need to converge for a specific accuracy. In the first algorithm the particle dynamics and flow field equations are solved simultaneously but separately. In the second algorithm in each iteration for solving flow field equations, the particle dynamics equation is also solved. Results for some test cases are presented and compared. According to the results the second algorithm is faster than the first one especially when there is a strong coupling between phases.
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9

Shin, Byeong Rog, Satoru Yamamoto, and Xin Yuan. "Application of Preconditioning Method to Gas-Liquid Two-Phase Flow Computations." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45388.

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A preconditioned numerical method for gas-liquid two-phase flows is applied to solve cavitating flow. The present method employs a finite-difference method of dual time-stepping integration procedure and Roe’s flux difference splitting approximation with MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. The present density based numerical method permits simple treatment of the whole gas-liquid two-phase flow field including wave propagation, large density changes and incompressible flows characteristics at low Mach number. By this method, two-dimensional internal flows through a backward-facing step duct, a venturi tube and decelerating cascades are computed. Comparisons of predicted results with experiments are provided and discussed.
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10

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 same density ratio as that of an air-water system. In this method, the Cahn-Hilliard (CH) equation was used for predicting interface configuration. It was confirmed through numerical simulations that (1) the flux driven by chemical potential gradient in the CH equation plays an important role in interfacial advection and reconstruction, (2) the NS-PFM gives good predictions for pressure increase inside a bubble caused by the surface tension, (3) coalescence of liquid film and single drop falling through a stagnant gas was well simulated, and (4) collapse of liquid column under gravity was predicted in good agreement with other available data. Then, another version of NS-PFM was proposed and applied to a direct simulation of bubble nucleation of a non-ideal fluid in the vicinity of the critical point, which demonstrated the capability of NS-PFM to capture liquid-vapor interface motion in boiling and condensation.
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Reports on the topic "Two-phase incompressible flows"

1

Mautner, T. S. Confined Two-Phase Incompressible Flows,. Fort Belvoir, VA: Defense Technical Information Center, March 1996. http://dx.doi.org/10.21236/ada305763.

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2

Sussman, M., A. S. Almgren, and J. B. Bell. An adaptive level set approach for incompressible two-phase flows. Office of Scientific and Technical Information (OSTI), April 1997. http://dx.doi.org/10.2172/503479.

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