A ghost fluid, level set methodology for simulating multiphase electrohydrodynamic flows with application to liquid fuel injection

Daily, John W.

doi:10.1016/j.jcp.2010.07.003

Cited by 46 publications

(21 citation statements)

References 45 publications

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“…For example, the boundary integral method [7,17,38] cannot be easily extended to different configurations such as solving the full Navier-Stokes equations, or accounting for charge effects in the bulk fluid. Sharp methods such as the ghost-fluid method [33,35] are generally first-order accurate. Tomar et al [41] used the volume of fluid (VOF) method, where jumps in electrical and fluid properties across the drop interface are smoothed out in a transition region around the moving interface.…”

Section: Introductionmentioning

confidence: 99%

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

Nganguia

Young

et al. 2015

Commun. Comput. Phys.

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A numerical scheme based on the immersed interface method (IIM) is developed to simulate the dynamics of an axisymmetric viscous drop under an electric field. In this work, the IIM is used to solve both the fluid velocity field and the electric potential field. Detailed numerical studies on the numerical scheme show a second-order convergence. Moreover, our numerical scheme is validated by the good agreement with previous analytical models [1,31,39], and numerical results from the boundary integral simulations [17]. Our method can be extended to Navier-Stokes fluid flow with nonlinear inertia effects.

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Section: Introductionmentioning

confidence: 99%

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

Nganguia

Young

et al. 2015

Commun. Comput. Phys.

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“…Many realistic level set applications rely on normals derived from a φ field obtained from FMM re-initialization [5,7,9,15], and it is of interest to test convergence when using such normals. Fig.…”

Section: High Order Differential Formulationmentioning

confidence: 99%

“…This is especially pertinent to the propagation of discontinuous fronts, which is a significant component of phenomena such as multiphase flows [1][2][3][4][5][6][7][8][9][10], supersonic flows [11], reacting flows [12][13][14], multiphase electrohydrodynamics [15,16], crack propagation [17,18], and image processing [19][20][21]. Calculations involving discontinuous fronts often suffer from numerical artifacts such as nonphysical oscillations and low orders of convergence [22,23], unless relevant quantities are extrapolated or extended across the front in order to avoid differentiating across discontinuities.…”

Section: Introductionmentioning

confidence: 99%

A fast marching approach to multidimensional extrapolation

McCaslin

Courtine

2014

Journal of Computational Physics

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“…This technique can handle droplet break-up and coalescence in a more natural way than moving mesh methods [3,30]. However, charge transfer dynamics are neglected in both of these works: Bjørklund et al [3] neglect charge completely and Van Poppel et al [30] assume constant volumetric charge. This group most recently models twophase electro-hydrodynamic flow for liquid fuel injection assuming a high electric Reynolds number.…”

Section: Overview Of Numerical Approachesmentioning

confidence: 99%

An interface tracking model for droplet electrocoalescence.

Erickson¹

2013

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This report describes an Early Career Laboratory Directed Research and Development (LDRD) project to develop an interface tracking model for droplet electrocoalescence. Many fluid-based technologies rely on electrical fields to control the motion of droplets, e.g. microfluidic devices for high-speed droplet sorting, solution separation for chemical detectors, and purification of biodiesel fuel. Precise control over droplets is crucial to these applications. However, electric fields can induce complex and unpredictable fluid dynamics. Recent experiments ) have demonstrated that oppositely charged droplets bounce rather than coalesce in the presence of strong electric fields. A transient aqueous bridge forms between approaching drops prior to pinch-off. This observation applies to many types of fluids, but neither theory nor experiments have been able to offer a satisfactory explanation. Analytic hydrodynamic approximations for interfaces become invalid near coalescence, and therefore detailed numerical simulations are necessary. This is a computationally challenging problem that involves tracking a moving interface and solving complex multi-physics and multi-scale dynamics, which are beyond the capabilities of most state-of-the-art simulations. An interface-tracking model for electro-coalescence can provide a new perspective to a variety of applications in which interfacial physics are coupled with electrodynamics, including electro-osmosis, fabrication of microelectronics, fuel atomization, oil dehydration, nuclear waste reprocessing and solution separation for chemical detectors. We present a conformal decomposition finite element (CDFEM) interface-tracking method for the electrohydrodynamics of two-phase flow to demonstrate electro-coalescence. CDFEM is a sharp interface method that decomposes elements along fluid-fluid boundaries and uses a level set function to represent the interface.3

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A ghost fluid, level set methodology for simulating multiphase electrohydrodynamic flows with application to liquid fuel injection

Cited by 46 publications

References 45 publications

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

A fast marching approach to multidimensional extrapolation

An interface tracking model for droplet electrocoalescence.

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