Close Search Advanced
Journals
Resources
About Us
Open Access

Simulating Two-Phase Viscoelastic Flows Using Moving Finite Element Methods

Simulating Two-Phase Viscoelastic Flows Using Moving Finite Element Methods
Preview
Add to basket

Year:    2010

Communications in Computational Physics, Vol. 7 (2010), Iss. 2 : pp. 333–349

Abstract

Phase-field models provide a way to model fluid interfaces as having finite thickness; the interface between two immiscible fluids is treated as a thin mixing layer across which physical properties vary steeply but continuously. One of the main challenges of this approach is in resolving the sharp gradients at the interface. In this paper, moving finite-element methods are used to simulate interfacial dynamics of two-phase viscoelastic flows. The finite-element scheme can easily accommodates complex flow geometry and the moving mesh strategy can cluster more grid points near the thin interfacial areas where the solutions have large gradients. A diffused monitor function is used to ensure high quality meshes near the interface. Several numerical experiments are carried out to demonstrate the effectiveness of the moving mesh strategy.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.2009.09.201

Communications in Computational Physics, Vol. 7 (2010), Iss. 2 : pp. 333–349

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

  1. Metric tensors for the interpolation error and its gradient inLpnorm

    Xie, Hehu | Yin, Xiaobo

    Journal of Computational Physics, Vol. 256 (2014), Iss. P.543

    https://doi.org/10.1016/j.jcp.2013.09.008 [Citations: 3]

  2. An $h$-Adaptive Operator Splitting Method for Two-Phase Flow in 3D Heterogeneous Porous Media

    Chueh, Chih-Che | Djilali, Ned | Bangerth, Wolfgang

    SIAM Journal on Scientific Computing, Vol. 35 (2013), Iss. 1 P.B149

    https://doi.org/10.1137/120866208 [Citations: 10]

  3. Moving Finite Element Simulations for Reaction-Diffusion Systems

    Hu, Guanghui | Qiao, Zhonghua | Tang, Tao

    Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 03 P.365

    https://doi.org/10.4208/aamm.10-m11180 [Citations: 20]

  4. Finite element computations of viscoelastic two‐phase flows using local projection stabilization

    Venkatesan, Jagannath | Ganesan, Sashikumaar

    International Journal for Numerical Methods in Fluids, Vol. 92 (2020), Iss. 8 P.825

    https://doi.org/10.1002/fld.4808 [Citations: 7]

  5. Fundamental Numerical Simulation of Microbubble Interaction Using Multi-scale Multiphase Flow Equation

    Yonemoto, Yukihiro | Kunugi, Tomoaki

    Microgravity Science and Technology, Vol. 22 (2010), Iss. 3 P.397

    https://doi.org/10.1007/s12217-010-9223-8 [Citations: 1]

  6. Sensitivity of pressure and velocity fields to gravity

    Liu, Yefeng | Han, Jinyu | Feng, Huisheng | Jin, Wei | Shan, Chun | Xu, Feifei | Xia, Mingming | Yang, Teng

    Chemical Engineering Science, Vol. 87 (2013), Iss. P.338

    https://doi.org/10.1016/j.ces.2012.10.026 [Citations: 1]

  7. A Moving Mesh Method for Kinetic/Hydrodynamic Coupling

    Hu, Zhicheng | Wang, Heyu

    Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 06 P.685

    https://doi.org/10.4208/aamm.12-12S01 [Citations: 2]

  8. On convergent schemes for a two-phase Oldroyd-B type model with variable polymer density

    Sieber, Oliver

    Journal of Numerical Mathematics, Vol. 28 (2020), Iss. 2 P.99

    https://doi.org/10.1515/jnma-2019-0019 [Citations: 1]

  9. An authenticated theoretical modeling of electrified fluid jet in core–shell nanofibers production

    Rafiei, Saeedeh | Noroozi, Babak | Heltai, Luca | Haghi, Akbar Khodaparast

    Journal of Industrial Textiles, Vol. 47 (2018), Iss. 7 P.1791

    https://doi.org/10.1177/1528083717710711 [Citations: 6]
  10. Computational Modeling of Biological Systems

    Computational and Modeling Strategies for Cell Motility

    Wang, Qi | Yang, Xiaofeng | Adalsteinsson, David | Elston, Timothy C. | Jacobson, Ken | Kapustina, Maryna | Forest, M. Gregory

    2012

    https://doi.org/10.1007/978-1-4614-2146-7_11 [Citations: 7]

  11. A new treatment of capillarity to improve the stability of IMPES two-phase flow formulation

    Kou, Jisheng | Sun, Shuyu

    Computers & Fluids, Vol. 39 (2010), Iss. 10 P.1923

    https://doi.org/10.1016/j.compfluid.2010.06.022 [Citations: 48]

  12. A numerical method for the quasi-incompressible Cahn–Hilliard–Navier–Stokes equations for variable density flows with a discrete energy law

    Guo, Z. | Lin, P. | Lowengrub, J.S.

    Journal of Computational Physics, Vol. 276 (2014), Iss. P.486

    https://doi.org/10.1016/j.jcp.2014.07.038 [Citations: 82]

  13. Multiscale Time‐Splitting Strategy for Multiscale Multiphysics Processes of Two‐Phase Flow in Fractured Media

    Kou, Jisheng | Sun, Shuyu | Yu, Bo | Chen, Zhangxin

    Journal of Applied Mathematics, Vol. 2011 (2011), Iss. 1

    https://doi.org/10.1155/2011/861905 [Citations: 9]

  14. A phase-field fluid modeling and computation with interfacial profile correction term

    Li, Yibao | Choi, Jung-Il | Kim, Junseok

    Communications in Nonlinear Science and Numerical Simulation, Vol. 30 (2016), Iss. 1-3 P.84

    https://doi.org/10.1016/j.cnsns.2015.06.012 [Citations: 53]

  15. A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces

    Xia, Qing | Yu, Qian | Li, Yibao

    Computer Methods in Applied Mechanics and Engineering, Vol. 384 (2021), Iss. P.113987

    https://doi.org/10.1016/j.cma.2021.113987 [Citations: 36]

  16. Incorporation of diffuse interface in smoothed particle hydrodynamics: Implementation of the scheme and case studies

    Das, A. K. | Das, P. K.

    International Journal for Numerical Methods in Fluids, Vol. 67 (2011), Iss. 6 P.671

    https://doi.org/10.1002/fld.2382 [Citations: 19]

  17. Predicting biofilm deformation with a viscoelastic phase‐field model: Modeling and experimental studies

    Li, Mengfei | Matouš, Karel | Nerenberg, Robert

    Biotechnology and Bioengineering, Vol. 117 (2020), Iss. 11 P.3486

    https://doi.org/10.1002/bit.27491 [Citations: 11]

  18. Simulation of viscoelastic two-phase flows with insoluble surfactants

    Venkatesan, Jagannath | Padmanabhan, Adhithya | Ganesan, Sashikumaar

    Journal of Non-Newtonian Fluid Mechanics, Vol. 267 (2019), Iss. P.61

    https://doi.org/10.1016/j.jnnfm.2019.04.002 [Citations: 6]

  19. On micro–macro-models for two-phase flow with dilute polymeric solutions — modeling and analysis

    Grün, G. | Metzger, S.

    Mathematical Models and Methods in Applied Sciences, Vol. 26 (2016), Iss. 05 P.823

    https://doi.org/10.1142/S0218202516500196 [Citations: 8]