Journal ArticleDOI
A continuum method for modeling surface tension
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In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.About:
This article is published in Journal of Computational Physics.The article was published on 1992-06-01. It has received 7863 citations till now. The article focuses on the topics: Capillary surface & Capillary length.read more
Citations
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Simulation of primary atomization with an octree adaptive mesh refinement and VOF method
Daniel Fuster,Anne Bagué,Thomas Boeck,Luis Le Moyne,Anthony Leboissetier,Stéphane Popinet,Pascal Ray,Ruben Scardovelli,Stéphane Zaleski +8 more
TL;DR: Preliminary results are shown in relation with the study of the two-dimensional and 3D temporal and spatial problem, the influence of the injector and the vortex generated inside the chamber, and the effect of swirling at high Reynolds numbers.
Numerical simulations of 3D flows with moving contact lines
TL;DR: In this article, the authors summarize the main models for moving contact lines and follow with an overview of computational methods that include direct continuum approaches and macroscale models that resolve only the large-scale flow by modeling the effects of the conditions near the contact line using theory.
Journal ArticleDOI
An extended pressure finite element space for two-phase incompressible flows with surface tension
Sven Groí,Arnold Reusken +1 more
TL;DR: This paper uses the extended finite element space (XFEM), presented in [N. Moes, S. Usui, C. Parimi, Arbitrary discontinuities in finite elements], for the discretization of the pressure and shows that the size of spurious velocities is reduced substantially, provided the authors use both the new treatment of the surface tension force and the extended pressure finite elements space.
Journal ArticleDOI
Three-dimensional Large Eddy Simulation of air entrainment under plunging breaking waves
TL;DR: In this article, the authors presented and discussed the results obtained from simulating three-dimensional plunging breaking waves by solving the Navier-Stokes equations, in air and water, coupled with a dynamic subgrid scale turbulence model (Large Eddy Simulation, LES).
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Bubble formation and dynamics in gas–liquid–solid fluidization—A review
G.Q. Yang,Bing Du,Liang-Shih Fan +2 more
TL;DR: In this paper, the authors summarize the salient characteristics of liquid, bubbles, and particles and their interactive behavior and dynamics in the process of bubble formation and bubble rising in gas-liquid-solid fluidization systems.
References
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Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Book
An Introduction to Fluid Dynamics
TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Journal ArticleDOI
An Introduction to Fluid Dynamics. By G. K. Batchelor. Pp. 615. 75s. (Cambridge.)
TL;DR: In this paper, the Navier-Stokes equation is derived for an inviscid fluid, and a finite difference method is proposed to solve the Euler's equations for a fluid flow in 3D space.
Journal ArticleDOI
Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
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