A coupled quadrilateral grid level set projection method applied to ink jet simulation

Yu, Jiun-Der; Sakai, Satoki; Sethian, James A.

doi:10.1016/j.jcp.2004.12.012

Cited by 30 publications

(19 citation statements)

References 30 publications

(49 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In previous work [28,29], we have built numerical simulations of the ink jet process for Newtonian fluids using coupled level set and projection methods in both rectangular and arbitrary quadrilateral geometries. In this work, we extend these results to the viscoelastic regime.…”

Section: Current Workmentioning

confidence: 99%

“…A better approximation would result from using a body-fitted quadrilateral mesh. However, it is demonstrated in [29] that the difference between using a staircase representation vs. a body-fitted mesh, while important for small-scale boundary effects, is not significant in terms of computing the pinch-off time, bubble velocity, and satellite formation. We shall extend our methodology to general quadrilateral grids elsewhere.…”

Section: Convergence Studymentioning

confidence: 99%

“…[1], Sou et al [22], and Yu et al [28,29]. Our methods make use of level set methods for tracking the fluid interface boundaries, coupled to projection methods to solving the associated fluid flows.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Two-phase viscoelastic jetting

Sakai

Sethian

2007

Journal of Computational Physics

Self Cite

View full text Add to dashboard Cite

A coupled finite difference algorithm on rectangular grids is developed for viscoelastic ink ejection simulations. The ink is modeled by the Oldroyd-B viscoelastic fluid model. The coupled algorithm seamlessly incorporates several things: (1) a coupled level set-projection method for incompressible immiscible two-phase fluid flows; (2) a higher-order Godunov type algorithm for the convection terms in the momentum and level set equations; (3) a simple first-order upwind algorithm for the convection term in the viscoelastic stress equations; (4) central difference approximations for viscosity, surface tension, and upper-convected derivative terms; and (5) an equivalent circuit model to calculate the inflow pressure (or flow rate) from dynamic voltage.

show abstract

Section: Current Workmentioning

confidence: 99%

Section: Convergence Studymentioning

confidence: 99%

See 1 more Smart Citation

Two-phase viscoelastic jetting

Sakai

Sethian

2007

Journal of Computational Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…We note that numerical studies of flows at micrometer scale had already been conducted. In a series of papers, Yu, Sakai and Sethian [56][57][58] perform abundant numerical simulations of ink-jet printing for both Newtonian and viscoelastic fluids ; in these applications, the Reynolds number is rather high, namely 40 to 90. Shapiro and Drikakis [40] developed specific methods for diffusion broadening in two-and three-dimensional microfluidic channels.…”

Section: Introductionmentioning

confidence: 99%

On stability condition for bifluid flows with surface tension: Application to microfluidics

Galusinski

Vigneaux

2008

Journal of Computational Physics

View full text Add to dashboard Cite

Models for incompressible immiscible bifluid flows with surface tension are here considered. Since Brackbill, Kothe and Zemach (J. Comput. Phys. 100, pp 335-354, 1992) introduced the Continuum Surface Force (CSF) method, many methods involved in interface tracking or capturing are based on this reference work. Particularly, the surface tension term is discretized explicitly and therefore, a stability condition is induced on the computational time step. This constraint on the time step allows the containment of the amplification of capillary waves along the interface and puts more emphasis on the terms linked with the density in the Navier-Stokes equation (i. e. unsteady and inertia terms) rather than on the viscous terms. Indeed, the viscosity does not appear, as a parameter, in this stability condition.We propose a new stability condition which takes into account all fluid characteristics (density and viscosity) and for which we present a theoretical estimation. We detail the analysis which is based on a perturbation study -with capillary wave -for which we use energy estimate on the induced perturbed velocity. We validate our analysis and algorithms with numerical simulations of microfluidic flows using a Level Set method, namely the exploration of different mixing dynamics inside microdroplets.

show abstract

“…They can be also used in extracting other characters. Some researchers developed a method of using level set in image processing [4,5] .…”

Section: Introductionmentioning

confidence: 99%

An image filter algorithm using level set based on discontinuous PDE

Xiao

Chen

et al. 2009

Wuhan Univ. J. Nat. Sci.

View full text Add to dashboard Cite

An image filter based on nonlinear discontinuous partial differential equation (PDE) is presented. It models a class of morphological image filters called the level set method for gray image processing. We discuss the theoretical aspects of this PDE. The switch signal is controlled by the discontinuous right hand of PDE. We propose a discrete algorithm for its numerical solution and corresponding filter implementation. The study provides insights via several experiments. These types of filters are very useful in numerical image analyses.The preliminary filtering step is necessary for segmenting an image into a meaningful partition, in order to suppress noise and small meaningless details and textures. Morphological segmentation is mainly based on detecting the edges of a gradient image. However, gradient operators are very sensitive to noise and textured areas. Hence, the image has to be smoothed before segmentation. The linear smoothing will blur the outline and smooth across the object boundaries. Therefore, the nonlinear smoothing technologies have been proposed [1] . A lot of smoothing simplifies the detection but proves to be less effective in localizing contours; little smoothing, however, does not suppress enough noise.In computer vision, the continuous models have been proposed for scale-space image analysis based on partial differential equations (PDEs). Using an intuitive mathematical model of PDEs can simulate its physical characteristic better. It can achieve the sub-pixel precision. These continuous questions are often solved by linear method. The linear smoothing will shift and fuzzy the boundary of images, but nonlinear smoothing can decrease or avoid these influences completely. The corrosion operation, the dilation operation and the medians filter operation do well in protecting the vertical image edges, but make the horizontal image edges shift and fuzzy. The opening/closing operation given later is a kind of stronger filter. They are composed of a reference signal f that contains several parts and a marked signal g (initial seed) that holds in the parts of the signal f. They can reconstruct the entire object and protect the boundary and the edge.

show abstract

A coupled quadrilateral grid level set projection method applied to ink jet simulation

Cited by 30 publications

References 30 publications

Two-phase viscoelastic jetting

Two-phase viscoelastic jetting

On stability condition for bifluid flows with surface tension: Application to microfluidics

An image filter algorithm using level set based on discontinuous PDE

Contact Info

Product

Resources

About