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

Author: Grafiati

Published: 2 September 2023

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1

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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2

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

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3

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

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4

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 (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 desi

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5

Watanabe, Keiichi. "Compressible–Incompressible Two-Phase Flows with Phase Transition: Model Problem." Journal of Mathematical Fluid Mechanics 20, no. 3 (2017): 969–1011. http://dx.doi.org/10.1007/s00021-017-0352-3.

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6

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

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7

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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8

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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9

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 (2007): 469–505. http://dx.doi.org/10.1016/j.jcp.2006.06.020.

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10

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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11

Dabonneville, F., N. Hecht, J. Reveillon, G. Pinon, and F. X. Demoulin. "A zonal grid method for incompressible two-phase flows." Computers & Fluids 180 (February 2019): 22–40. http://dx.doi.org/10.1016/j.compfluid.2018.12.016.

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12

Nalimov, V. I. "Two-phase flows of incompressible condensed media and gas." Journal of Applied Mechanics and Technical Physics 41, no. 5 (2000): 895–906. http://dx.doi.org/10.1007/bf02468736.

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13

Watanabe, Keiichi. "Strong solutions to compressible–incompressible two-phase flows with phase transitions." Nonlinear Analysis: Real World Applications 54 (August 2020): 103101. http://dx.doi.org/10.1016/j.nonrwa.2020.103101.

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14

Chiu, Pao-Hsiung. "A coupled phase field framework for solving incompressible two-phase flows." Journal of Computational Physics 392 (September 2019): 115–40. http://dx.doi.org/10.1016/j.jcp.2019.04.069.

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15

Chiu, Pao-Hsiung, and Yan-Ting Lin. "A conservative phase field method for solving incompressible two-phase flows." Journal of Computational Physics 230, no. 1 (2011): 185–204. http://dx.doi.org/10.1016/j.jcp.2010.09.021.

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16

Chen, Zhangxin. "Numerical Analysis for Two-phase Flow in Porous Media." Computational Methods in Applied Mathematics 3, no. 1 (2003): 59–75. http://dx.doi.org/10.2478/cmam-2003-0006.

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Abstract In this paper we derive error estimates for finite element approximations for partial differential systems which describe two-phase immiscible flows in porous media. These approximations are based on mixed finite element methods for pressure and velocity and characteristic finite element methods for saturation. Both incompressible and compressible flows are considered. Error estimates of optimal order are obtained.

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17

Rudman, Murray. "One-field equations for two-phase flows." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 39, no. 2 (1997): 149–70. http://dx.doi.org/10.1017/s033427000000878x.

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AbstractA new derivation of the averaged heat and mass transport equations for two-phase flows is presented. A volume averaging technique is used in which averaging is perform over both phases simultaneously in order to derive equations that describe transport the mixture, rather than transport in each phase. The derivation is particularly applicable to incompressible liquid/solid systems in which the two phases are tightly coupled. An example of the numerical solution of the equations is then presented in which a thermally convecting suspension is modelled. It is seen that large-scale instabi

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18

Watanabe, Keiichi. "Global Solvability of Compressible–Incompressible Two-Phase Flows with Phase Transitions in Bounded Domains." Mathematics 9, no. 3 (2021): 258. http://dx.doi.org/10.3390/math9030258.

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Consider a free boundary problem of compressible-incompressible two-phase flows with surface tension and phase transition in bounded domains Ωt+,Ωt−⊂RN, N≥2, where the domains are separated by a sharp compact interface Γt⊂RN−1. We prove a global in time unique existence theorem for such free boundary problem under the assumption that the initial data are sufficiently small and the initial domain of the incompressible fluid is close to a ball. In particular, we obtain the solution in the maximal Lp−Lq-regularity class with 2<p<∞ and N<q<∞ and exponential stability of the correspondi

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19

Guo, Z., and P. Lin. "A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects." Journal of Fluid Mechanics 766 (February 4, 2015): 226–71. http://dx.doi.org/10.1017/jfm.2014.696.

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AbstractIn this paper, we develop a phase-field model for binary incompressible (quasi-incompressible) fluid with thermocapillary effects, which allows for the different properties (densities, viscosities and heat conductivities) of each component while maintaining thermodynamic consistency. The governing equations of the model including the Navier–Stokes equations with additional stress term, Cahn–Hilliard equations and energy balance equation are derived within a thermodynamic framework based on entropy generation, which guarantees thermodynamic consistency. A sharp-interface limit analysis

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20

Ouafa, Mohamed El. "Navier-Stokes Solvers for Incompressible Single- and Two-Phase Flows." Communications in Computational Physics 29, no. 4 (2021): 1213–45. http://dx.doi.org/10.4208/cicp.oa-2020-0044.

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21

Sussman, Mark, Emad Fatemi, Peter Smereka, and Stanley Osher. "An improved level set method for incompressible two-phase flows." Computers & Fluids 27, no. 5-6 (1998): 663–80. http://dx.doi.org/10.1016/s0045-7930(97)00053-4.

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22

Reuther, Sebastian, and Axel Voigt. "Incompressible two-phase flows with an inextensible Newtonian fluid interface." Journal of Computational Physics 322 (October 2016): 850–58. http://dx.doi.org/10.1016/j.jcp.2016.07.023.

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23

Saito, Hirokazu, Yoshihiro Shibata, and Xin Zhang. "Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows." SIAM Journal on Mathematical Analysis 52, no. 4 (2020): 3397–443. http://dx.doi.org/10.1137/18m1225239.

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24

Hoang, Luan T., Akif Ibragimov, and Thinh T. Kieu. "One-dimensional two-phase generalized Forchheimer flows of incompressible fluids." Journal of Mathematical Analysis and Applications 401, no. 2 (2013): 921–38. http://dx.doi.org/10.1016/j.jmaa.2012.12.055.

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25

Tamellini, Mattia, Nicola Parolini, and Marco Verani. "An optimal control problem for two-phase compressible–incompressible flows." Computers & Fluids 172 (August 2018): 538–48. http://dx.doi.org/10.1016/j.compfluid.2018.03.039.

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26

Sussman, Mark, Ann S. Almgren, John B. Bell, Phillip Colella, Louis H. Howell, and Michael L. Welcome. "An Adaptive Level Set Approach for Incompressible Two-Phase Flows." Journal of Computational Physics 148, no. 1 (1999): 81–124. http://dx.doi.org/10.1006/jcph.1998.6106.

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27

Qian, Longgen, and Yanhong Wei. "Improved THINC/SW scheme for computing incompressible two-phase flows." International Journal for Numerical Methods in Fluids 89, no. 6 (2018): 216–34. http://dx.doi.org/10.1002/fld.4690.

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28

Xiao, Yao, Zhong Zeng, Liangqi Zhang, et al. "A spectral element-based phase field method for incompressible two-phase flows." Physics of Fluids 34, no. 2 (2022): 022114. http://dx.doi.org/10.1063/5.0077372.

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29

Shen, Jie, and Xiaofeng Yang. "Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows." SIAM Journal on Numerical Analysis 53, no. 1 (2015): 279–96. http://dx.doi.org/10.1137/140971154.

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30

Prüss, Jan, and Senjo Shimizu. "Qualitative behaviour of incompressible two-phase flows with phase transitions: The isothermal case." Proceedings - Mathematical Sciences 127, no. 5 (2017): 815–31. http://dx.doi.org/10.1007/s12044-017-0365-0.

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31

Ivanov, Aleksandr Vladimirovich, Matvey Viktorovich Kraposhin, and Tatiana Gennadyevna Elizarova. "On a new method for regularizing equations two-phase incompressible fluid." Keldysh Institute Preprints, no. 61 (2021): 1–27. http://dx.doi.org/10.20948/prepr-2021-61.

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This paper presents a new method for the numerical simulation of two-phase incompressible immiscible flows. The methodology is based on the hydrodynamic equations regularization method using the quasi-hydrodynamic approach. Two systems of regularized equations are developed, which differ in terms of velocity regularization. The comparison of the described equations systems and the approbation of the numerical model on two numerical tests are given: dam break problem with the bottom step, for which the experimental data are described (Koshizuka’s experiment), and the cubic drop evolution proble

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32

G. Gal, Ciprian, and Maurizio Grasselli. "Longtime behavior for a model of homogeneous incompressible two-phase flows." Discrete & Continuous Dynamical Systems - A 28, no. 1 (2010): 1–39. http://dx.doi.org/10.3934/dcds.2010.28.1.

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33

Jiang, Jie, Yinghua Li, and Chun Liu. "Two-phase incompressible flows with variable density: An energetic variational approach." Discrete & Continuous Dynamical Systems - A 37, no. 6 (2017): 3243–84. http://dx.doi.org/10.3934/dcds.2017138.

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34

Bhat, Sourabh P., and J. C. Mandal. "An improved HLLC-type solver for incompressible two-phase fluid flows." Computers & Fluids 244 (August 2022): 105570. http://dx.doi.org/10.1016/j.compfluid.2022.105570.

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35

Gal, Ciprian G., and T. Tachim Medjo. "Regularized family of models for incompressible Cahn–Hilliard two-phase flows." Nonlinear Analysis: Real World Applications 23 (June 2015): 94–122. http://dx.doi.org/10.1016/j.nonrwa.2014.11.005.

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36

Fahsi, Adil, and Azzeddine Soulaïmani. "Numerical investigations of the XFEM for solving two-phase incompressible flows." International Journal of Computational Fluid Dynamics 31, no. 3 (2017): 135–55. http://dx.doi.org/10.1080/10618562.2017.1322200.

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37

Reusken, Arnold, and Trung Hieu Nguyen. "Nitsche’s Method for a Transport Problem in Two-phase Incompressible Flows." Journal of Fourier Analysis and Applications 15, no. 5 (2009): 663–83. http://dx.doi.org/10.1007/s00041-009-9092-y.

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38

Huang, Ziyang, Guang Lin, and Arezoo M. Ardekani. "A mixed upwind/central WENO scheme for incompressible two-phase flows." Journal of Computational Physics 387 (June 2019): 455–80. http://dx.doi.org/10.1016/j.jcp.2019.02.043.

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39

Hachem, E., M. Khalloufi, J. Bruchon, R. Valette, and Y. Mesri. "Unified adaptive Variational MultiScale method for two phase compressible–incompressible flows." Computer Methods in Applied Mechanics and Engineering 308 (August 2016): 238–55. http://dx.doi.org/10.1016/j.cma.2016.05.022.

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40

Yang, Rihua, Heng Li, and Aiming Yang. "A HLLC-type finite volume method for incompressible two-phase flows." Computers & Fluids 213 (December 2020): 104715. http://dx.doi.org/10.1016/j.compfluid.2020.104715.

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41

Ki, Hyungson. "Level set method for two-phase incompressible flows under magnetic fields." Computer Physics Communications 181, no. 6 (2010): 999–1007. http://dx.doi.org/10.1016/j.cpc.2010.02.002.

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42

Lehrenfeld, Christoph. "Nitsche-XFEM for a transport problem in two-phase incompressible flows." PAMM 11, no. 1 (2011): 613–14. http://dx.doi.org/10.1002/pamm.201110296.

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43

Gao, Huicai, Jisheng Kou, Shuyu Sun, and Xiuhua Wang. "Thermodynamically consistent modeling of two-phase incompressible flows in heterogeneous and fractured media." Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 75 (2020): 32. http://dx.doi.org/10.2516/ogst/2020024.

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Numerical modeling of two-phase flows in heterogeneous and fractured media is of great interest in petroleum reservoir engineering. The classical model for two-phase flows in porous media is not completely thermodynamically consistent since the energy reconstructed from the capillary pressure does not involve the ideal fluid energy of both phases and attraction effect between two phases. On the other hand, the saturation may be discontinuous in heterogeneous and fractured media, and thus the saturation gradient may be not well defined. Consequently, the classical phase-field models can not be

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44

Li, Wei, Yihui Ma, Xiaopei Liu, and Mathieu Desbrun. "Efficient kinetic simulation of two-phase flows." ACM Transactions on Graphics 41, no. 4 (2022): 1–17. http://dx.doi.org/10.1145/3528223.3530132.

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Real-life multiphase flows exhibit a number of complex and visually appealing behaviors, involving bubbling, wetting, splashing, and glugging. However, most state-of-the-art simulation techniques in graphics can only demonstrate a limited range of multiphase flow phenomena, due to their inability to handle the real water-air density ratio and to the large amount of numerical viscosity introduced in the flow simulation and its coupling with the interface. Recently, kinetic-based methods have achieved success in simulating large density ratios and high Reynolds numbers efficiently; but their mem

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45

Behrangi, Farhang, Mohammad Ali Banihashemi, Masoud Montazeri Namin, and Asghar Bohluly. "FGA-MMF method for the simulation of two-phase flows." Engineering Computations 35, no. 3 (2018): 1161–82. http://dx.doi.org/10.1108/ec-03-2017-0076.

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Purpose This paper aims to present a novel numerical technique for solving the incompressible multiphase mixture model. Design/methodology/approach The multiphase mixture model contains a set of momentum and continuity equations for the mixture phase, a second phase continuity equation and the algebraic equation for the relative velocity. For solving continuity equation for the second phase and advection term of momentum, an improved approach fine grid advection-multiphase mixture flow (FGA-MMF) is developed. In the FGA-MMF method, the continuity equation for the second phase is solved with hi

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46

Shen, Jie, and Xiaofeng Yang. "Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows." Chinese Annals of Mathematics, Series B 31, no. 5 (2010): 743–58. http://dx.doi.org/10.1007/s11401-010-0599-y.

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47

Shah, Abdullah, Sadia Saeed, and L. Yuan. "An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows." International Journal of Computational Methods 14, no. 05 (2017): 1750059. http://dx.doi.org/10.1142/s0219876217500591.

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In this work, a numerical scheme based on artificial compressibility formulation of a phase-field model is developed for simulating two-phase incompressible flow problems. The coupled nonlinear systems composed of the incompressible Navier–Stokes equations and volume preserving Allen–Cahn-type phase-field equation are recast into conservative form with source terms, which are suited to implement high-resolution schemes originally developed for hyperbolic conservation laws. The Boussinesq approximation is used to account for the buoyancy effect in flow with small density difference. The fifth-o

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48

TAKADA, NAOKI, and AKIO TOMIYAMA. "NUMERICAL SIMULATION OF ISOTHERMAL AND THERMAL TWO-PHASE FLOWS USING PHASE-FIELD MODELING." International Journal of Modern Physics C 18, no. 04 (2007): 536–45. http://dx.doi.org/10.1142/s0129183107010772.

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For interface-tracking simulation of two-phase flows in various micro-fluidics devices, we examined the applicability of two versions of computational fluid dynamics method, NS-PFM, combining Navier-Stokes equations with phase-field modeling for interface 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 wettab

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49

Son, Gihun, and Nahmkeon Hur. "A Level Set Formulation for Incompressible Two-Phase Flows on Nonorthogonal Grids." Numerical Heat Transfer, Part B: Fundamentals 48, no. 3 (2005): 303–16. http://dx.doi.org/10.1080/10407790590959762.

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50

Frachon, Thomas, and Sara Zahedi. "A cut finite element method for incompressible two-phase Navier–Stokes flows." Journal of Computational Physics 384 (May 2019): 77–98. http://dx.doi.org/10.1016/j.jcp.2019.01.028.

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