A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows

Sussman, Mark; Puckett, Elbridge Gerry

doi:10.1006/jcph.2000.6537

Cited by 1,435 publications

(798 citation statements)

References 32 publications

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“…Volume of fluid methods also adopt an implicit formulation using the volume fraction of one phase in each computational cells (see e.g. [9,13,12,34,36,54,100,117,139,154,161,163] and the references therein). These methods have the advantage of conserving the total volume by construction.…”

Section: The Stefan Problemmentioning

confidence: 99%

“…The source of the loss of mass is the lack of accuracy and the numerical dissipation of various approximations in solving equation (6). Successful approaches to combat the loss of mass involved hybridizing the level-set method with other methods that are known to be more accurate in terms of mass conservation [38,139]. For example, figure 20(a) depicts the evolution of the level-set using the fifth-order HJ-WENO of [59], while figure 20(b) depicts the same evolution using the particle-level-set of [38].…”

Section: Improvement On Mass Conservationmentioning

confidence: 99%

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High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

2012

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We present a review of some of the state-of-the-art numerical methods for solving the Stefan problem and the Poisson and the diffusion equations on irregular domains using (i) the level-set method for representing the (possibly moving) irregular domain's boundary, (ii) the ghost-fluid method for imposing the Dirichlet boundary condition at the irregular domain's boundary and (iii) a quadtree/octree nodebased adaptive mesh refinement for capturing small length scales while significantly reducing the memory and CPU footprint. In addition, we highlight common misconceptions and describe how to properly implement these methods. Numerical experiments illustrate quantitative and qualitative results.

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Section: The Stefan Problemmentioning

confidence: 99%

Section: Improvement On Mass Conservationmentioning

confidence: 99%

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

2012

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“…But the main advantage of this method is that the area/volume conservation is fulfilled. In [21], they used this property of the volume of fluid method, together with the ability of the level set method in a precise calculation of the curvature, for developing the idea of the coupled level set and volume of fluid method. The interface kinematics in this method is simulated by solving the volume of fluid advection equation.…”

Section: An Overview On the Numerical Techniques For Simulating The Imentioning

confidence: 99%

Level Set Method for Simulating the Interface Kinematics: Application of a Discontinuous Galerkin Method

Mousavi¹,

Kummer²,

Oberlack³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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“…This inspires the use of alternatives, such as front-tracking schemes (Popinet & Zaleski, 1999;Shin, Abdel-Khalika, Darub, & Juricb, 2005), the level set method (Sussman, Smereka, & Osher, 1994) and the coupled VOF & level set method (Sussman & Puckett, 2000;Yang, James, Lowengrub, Zheng, & Cristini, 2006). Here, for the curvature estimation, the height-function (HF) curvature calculation has been utilized for the computational scheme, first proposed by Torrey, Cloutman, Mjolsness, and Hirt (1985).…”

Section: Computational Proceduresmentioning

confidence: 99%

Numerical analysis of post-impact droplet deformation for direct-print

Hasan

Chandy

Choi

2015

Engineering Applications of Computational Fluid Mechanics

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Two-dimensional (2D) numerical investigations of droplet impacts on a solid surface and the consequent deformation have been performed. The application lies in the direct-print technology where droplets are used to create lines and instantly cured to maintain line dimension. The investigation focuses on the evolution of droplet shape at the initial stage after the impact for Newtonian fluids. More specifically, the investigation emphasized the time for an impacted droplet to start increasing its diameter after the initial compression due to impact. A computational model has been developed by utilizing an adaptive quadtree spatial discretization with piecewise-linear geometrical volume-of-fluid (VOF) for this multiphase problem. The continuum-surface-force method and the height-function (HF) were employed for estimating the surface tension and the interface curvature, respectively. The Gerris Flow Solver, an open-source finite-volume package, was used for developing the computational model. The investigation was performed for the governing parameters of the Froude number (Fr), Reynolds number (Re), and Weber number (We). The results are presented as the interface contour, spreading factor (ξ ), and deformation ratio (R δ ). The investigation shows that the results from the developed model have excellent agreement with the experimental results.

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A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows

Cited by 1,435 publications

References 32 publications

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

Level Set Method for Simulating the Interface Kinematics: Application of a Discontinuous Galerkin Method

Numerical analysis of post-impact droplet deformation for direct-print

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