A coupled immersed interface and level set method for simulation of interfacial flows steered by surface tension

AbstractIn this paper, a numerical method is presented for simulating the 3D interfacial flows with insoluble surfactant. The numerical scheme consists of a 3D immersed interface method (IIM) for solving Stokes equations with jumps across the interface and a 3D level-set method for solving the surfactant convection-diffusion equation along a moving and deforming interface. The 3D IIM Poisson solver modifies the one in the literature by assuming that the jump conditions of the solution and the flux are implicitly given at the grid points in a small neighborhood of the interface. This assumption is convenient in conjunction with the level-set techniques. It allows standard Lagrangian interpolation for quantities at the projection points on the interface. The interface jump relations are re-derived accordingly. A novel rotational procedure is given to generate smooth local coordinate systems and make effective interpolation. Numerical examples demonstrate that the IIM Poisson solver and the Stokes solver achieve second-order accuracy. A 3D drop with insoluble surfactant under shear flow is investigated numerically by studying the influences of different physical parameters on the drop deformation.

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Computation of a Propagating Interface in Multiphase Flows Using an Adaptive Coupled Level Set Method

5th International Symposium on Fluid Structure International, Aeroeslasticity, and Flow Induced Vibration and Noise ◽

10.1115/imece2002-39044 ◽

2002 ◽

Author(s):

Ruquan Liang ◽

Satoru Komori

Keyword(s):

Surface Tension ◽

Level Set Method ◽

Level Set ◽

Multiphase Flows ◽

Surface Tension Force ◽

Numerical Results ◽

Passive Transport ◽

Effect Of Surface ◽

Good Agreement ◽

Numerical Strategy

We present a numerical strategy for a propagating interface in multiphase flows using a level set method combined with a local mesh adaptative technique. We use the level set method to move the propagating interface in multiphase flows. We also use the local mesh adaptative technique to increase the grid resolution at regions near the propagating interface and additionally at the regions near points of high curvature with a minimum of additional expense. For illustration, we apply the adaptive coupled level set method to a collection of bubbles moving under passive transport. Good agreement has been obtained in the comparision of the numerical results for the collection of bubbles using an adaptative grid with those using a single grid. We also apply the adaptive coupled level set method to a droplet falling on a step where it is important to accurately model the effect of surface tension force and the motion of the free-surface, and the numerical results agree very closely with available data.

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A coupled volume-of-fluid and level set method based on general curvilinear grids with accurate surface tension calculation

Journal of Computational Physics ◽

10.1016/j.jcp.2019.07.016 ◽

2019 ◽

Vol 396 ◽

pp. 799-818 ◽

Cited By ~ 10

Author(s):

Zhizhu Cao ◽

Dongliang Sun ◽

Jinjia Wei ◽

Bo Yu ◽

Jingfa Li

Keyword(s):

Surface Tension ◽

Level Set Method ◽

Level Set ◽

Volume Of Fluid ◽

Curvilinear Grids

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A novel model for biofilm growth and its resolution by using the hybrid immersed interface-level set method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.10.008 ◽

2014 ◽

Vol 67 (1) ◽

pp. 34-51 ◽

Cited By ~ 12

Author(s):

Patricio Cumsille ◽

Juan A. Asenjo ◽

Carlos Conca

Keyword(s):

Level Set Method ◽

Level Set ◽

Immersed Interface ◽

Biofilm Growth ◽

Novel Model

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The Hybrid Particle-Level-Set Method Applied to Two-Phase Flows

Volume 1: Symposia, Parts A and B ◽

10.1115/fedsm2006-98126 ◽

2006 ◽

Cited By ~ 2

Author(s):

Daniel Gaudlitz ◽

Nikolaus A. Adams

Keyword(s):

Surface Tension ◽

Level Set Method ◽

Level Set ◽

Mass Conservation ◽

Two Phase Flows ◽

Two Phase ◽

Hybrid Particle ◽

Particle Level ◽

Tension Term ◽

Particle Level Set Method

The hybrid particle-level-set method was proposed by Enright et al. (2002) for improving the efficiency and accuracy of the original level-set method. In this paper, we examine the discretization of the surface-tension term and of the reinitialization procedure with respect to their effect on the mass-conservation properties of the overall method. We apply the hybrid particle-level-set method for the computation of two-phase flows and assess its performance with different parameter choices in comparison with the original level-set method.

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