A coupled Volume of Fluid and Immersed Boundary Method for simulating 3D multiphase flows with contact line dynamics in complex geometries

H.V. Patel, S. Das, J.A.M. Kuipers, J.T. Padding, E.A.J.F. Peters

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Abstract

A numerical methodology is presented for simulating 3D multiphase flows through complex geometries on a non-body conformal Cartesian computational grid. A direct forcing implicit immersed boundary method (IBM) is used to sharply resolve complex geometries, employing the finite volume method (FVM) on a staggered grid. The fluid-fluid interface is tracked by a mass conservative sharp interface volume of fluid (VOF) method. Contact line dynamics at macroscopic length scale is simulated by imposing the apparent contact angle (static or dynamic) as a boundary condition at the three-phase contact line. The developed numerical methodology is validated for several test cases including the equilibrium shape of a droplet on flat and spherical surfaces, the temporal evolution of a droplet spreading on a flat surface. The obtained results show an excellent correspondence with those derived analytically or taken from literature. Furthermore, the present model is used to estimate, on a pore-scale, the residual oil remaining in idealized porous structures after water flooding, similar to the process used in enhanced oil recovery (EOR).

Original languageEnglish
Pages (from-to)28-41
Number of pages14
JournalChemical Engineering Science
Volume166
DOIs
Publication statusPublished - 20 Jul 2017

Fingerprint

Immersed Boundary Method
Contact Line
Multiphase Flow
Multiphase flow
Complex Geometry
Volume of Fluid Method
Fluid
Staggered Grid
Cartesian Grid
Fluids
Geometry
Methodology
Computational Grid
Contact Angle
Flooding
Oils
Implicit Method
Finite Volume Method
Droplet
Length Scale

Keywords

  • Contact line dynamics
  • Enhanced Oil Recovery (EOR)
  • Immersed Boundary Method (IBM)
  • Static and dynamic contact angle
  • Volume of Fluid (VOF)
  • Water flooding

Cite this

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title = "A coupled Volume of Fluid and Immersed Boundary Method for simulating 3D multiphase flows with contact line dynamics in complex geometries",
abstract = "A numerical methodology is presented for simulating 3D multiphase flows through complex geometries on a non-body conformal Cartesian computational grid. A direct forcing implicit immersed boundary method (IBM) is used to sharply resolve complex geometries, employing the finite volume method (FVM) on a staggered grid. The fluid-fluid interface is tracked by a mass conservative sharp interface volume of fluid (VOF) method. Contact line dynamics at macroscopic length scale is simulated by imposing the apparent contact angle (static or dynamic) as a boundary condition at the three-phase contact line. The developed numerical methodology is validated for several test cases including the equilibrium shape of a droplet on flat and spherical surfaces, the temporal evolution of a droplet spreading on a flat surface. The obtained results show an excellent correspondence with those derived analytically or taken from literature. Furthermore, the present model is used to estimate, on a pore-scale, the residual oil remaining in idealized porous structures after water flooding, similar to the process used in enhanced oil recovery (EOR).",
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A coupled Volume of Fluid and Immersed Boundary Method for simulating 3D multiphase flows with contact line dynamics in complex geometries. / Patel, H.V.; Das, S.; Kuipers, J.A.M.; Padding, J.T.; Peters, E.A.J.F.

In: Chemical Engineering Science, Vol. 166, 20.07.2017, p. 28-41.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Padding, J.T.

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