Journal ArticleDOI
The MAC method
Sean McKee,Murilo Francisco Tomé,Valdemir Garcia Ferreira,José Alberto Cuminato,A. Castelo,Fabricio S. Sousa,Norberto Mangiavacchi +6 more
TLDR
The Marker and Cell (MAC) method has been widely used in the field of flow visualization as mentioned in this paper. But it has not yet been applied to the analysis of surface and interfacial flows.About:
This article is published in Computers & Fluids.The article was published on 2008-09-01. It has received 238 citations till now.read more
Citations
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A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow
Željko Tuković,Hrvoje Jasak +1 more
TL;DR: In this paper, a moving mesh interface tracking method implemented in OpenFOAM for simulating three-dimensional (3-D) incompressible and immiscible two-phase interfacial fluid flows with dominant surface tension forces is described.
Journal ArticleDOI
Exploring Instructive Physiological Signaling with the Bioelectric Tissue Simulation Engine
Alexis Pietak,Michael Levin +1 more
TL;DR: The BioElectric Tissue Simulation Engine (BETSE), a finite volume method multiphysics simulator, is developed, which predicts bioelectric patterns and their spatio-temporal dynamics by modeling ion channel and gap junction activity and tracking changes to the fundamental property of ion concentration.
Journal ArticleDOI
Incompressible material point method for free surface flow
TL;DR: Numerical examples including dam break, oscillation of a cubic liquid drop and a droplet impact into deep pool show that the proposed incompressible material point method is much more accurate and efficient than the weakly compressiblematerial point method in solving free surface flow problems.
Journal ArticleDOI
Variational formulations for surface tension, capillarity and wetting
TL;DR: In this article, surface tension, capillarity and wetting effects are discussed in terms of the virtual-work principle and shape sensitivity, starting from first principles and arriving at variational formulations that are adequate for numerical treatment.
Journal ArticleDOI
A numerical model of two-phase flow at the micro-scale using the volume-of-fluid method
TL;DR: A simple and robust numerical scheme to model two-phase flow in porous media where capillary forces dominate over viscous effects and how the co-current flow of two viscous fluids leads to greatly enhanced flow conductance for the wetting phase in corners of the pore space is shown.
References
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Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
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.
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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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
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Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more