Numerical Simulation for a Droplet Fission Process of Electrowetting on Dielectric Device

He, Dongdong; Huang, Huaxiong; Tan, Yongji

doi:10.4208/cicp.2009.09.012

Cited by 5 publications

(7 citation statements)

References 29 publications

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“…For comparison purposes, we use both the standard and constrained formulations. We refer readers to [7] and [5] for detail description of the standard level set method. And we shall represent the constrained level set method as follows.…”

Section: Methodsmentioning

confidence: 99%

“…2. Furthermore, we assume that the aspect ratio of the device is sufficiently small, by lubrication theory, the two-phase flow can be modeled by the (non-dimensional) Hele-Shaw equations [5]…”

Section: Problem Descriptionmentioning

confidence: 99%

“…is the non-dimensional curvature in z direction under the assumption that the interface along z direction is a circular arc [5]. We use u = 1,v = 0 as the boundary condition on the left boundary L, and use the condition L udx = R udx, ∂u ∂x = 0 on the right boundary R to ensure that global mass is conserved.…”

Section: Problem Descriptionmentioning

confidence: 99%

“…The discretization used here is similar to that in [5]. We use staggered grids and ghost fluid method to compute the velocity and pressure fields.…”

Section: Discretizationmentioning

confidence: 99%

“…In our numerical computation, the interface between the two fluids is captured using a level set method while the Hele-Shaw equations are solved by a first order ghost fluid method [5] † . The level set method is one of the widely used approaches for problems with evolving interfaces, especially when topological changes are involved [4].…”

Section: Introductionmentioning

confidence: 99%

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A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

Huang

2012

Commun. comput. phys.

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AbstractIn this paper, we investigate the dynamic process of liquid bridge formation between two parallel hydrophobic plates with hydrophilic patches, previously studied in [1]. We propose a dynamic Hele-Shaw model to take advantage of the small aspect ratio between the gap width and the plate size. A constrained level set method is applied to solve the model equations numerically, where a global constraint is imposed in the evolution [2] stage together with local constraints in the reinitialization [3] stage of level set function in order to limit numerical mass loss. In contrast to the finite element method used in [2], we use a finite difference method with a 5th order HJWENO scheme for spatial discretization. To illustrate the effectiveness of the constrained method, we have compared the results obtained by the standard level set method with those from the constrained version. Our results show that the constrained level set method produces physically reasonable results while that of the standard method is less reliable. Our numerical results also show that the dynamic nature of the flow plays an important role in the process of liquid bridge formation and criteria based on static energy minimization approach has limited applicability.

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Section: Methodsmentioning

confidence: 99%

Section: Problem Descriptionmentioning

confidence: 99%

Section: Problem Descriptionmentioning

confidence: 99%

“…The discretization used here is similar to that in [5]. We use staggered grids and ghost fluid method to compute the velocity and pressure fields.…”

Section: Discretizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

Huang

2012

Commun. comput. phys.

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A posteriori error analysis for a cut cell finite volume method

Estep

Pernice

Tavener

et al. 2011

Computer Methods in Applied Mechanics and Engineering

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Investigating relations between the NICU speech environment and weight gain in infants born very preterm

Kumar¹,

Marchman

Morales

et al. 2022

Preprint

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BackgroundChildren born very preterm (< 32 weeks gestational age), are at risk for poor growth and adverse neurodevelopmental outcomes. Poor outcomes in preterm children have been attributed to the aversive sounds and relative speech paucity of the neonatal intensive care unit (NICU). Experimental studies that directly expose preterm infants to speech sounds in the NICU find significant improvements in health factors relevant for neurodevelopment. Few studies have examined whether natural variations in the speech environment of the NICU are related to short-term health outcomes in preterm infants. Such data are important for optimizing the sound environment of the NICU.ObjectiveExamine relations between the NICU speech environment and rate of weight gain during hospitalization, an important determinant of physical health and neurodevelopmental outcomes for preterm infants.MethodsParticipants were infants born very preterm (n = 20). The speech environment of each infant was assessed at 32-36 weeks postmenstrual age using a speech-counting device known as a Starling. Speech rates were averaged for each infant over the 4-week period. Average rates of weight gain (g/kg/day) were ascertained over the same period. Calories were derived from charted intake (kcals/kg/day). Linear regressions examined associations between weight gain and both caloric intake and speech counts. Control analyses explored whether effects remained after controlling for family visitation, time in incubator, and health acuity.ResultsInfants who received more calories gained more weight, accounting for more than 30% of the variance. Importantly, speech counts accounted for nearly 29% additional variance (p < .001). These effects were not reduced when controlling for family visitation, time in incubator, or health acuity.ConclusionsEnhancing speech exposure in the NICU may be beneficial for physical growth. NICU infant care plans should consider opportunities to increase speech exposure.

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Numerical Simulation for a Droplet Fission Process of Electrowetting on Dielectric Device

Cited by 5 publications

References 29 publications

A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

A posteriori error analysis for a cut cell finite volume method

Investigating relations between the NICU speech environment and weight gain in infants born very preterm

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