A front-tracking method for viscous, incompressible, multi-fluid flows
TLDR
In this paper, a method to simulate unsteady multi-fluid flows in which a sharp interface or a front separates incompressible fluids of different density and viscosity is described.About:
This article is published in Journal of Computational Physics.The article was published on 1992-05-01 and is currently open access. It has received 2340 citations till now. The article focuses on the topics: Incompressible flow & Unstructured grid.read more
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Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers
Zuo-Bing Wu,Wen-Rui Hu +1 more
TL;DR: In this paper, the thermocapillary motion of planar non-deformable droplets in flow fields with two uniform temperature gradients at moderate and large Marangoni numbers is studied numerically by using the front-tracking method.
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Dynamic analysis of ultrasonically levitated droplet with moving particle semi-implicit and distributed point source method
TL;DR: In this article, a droplet with a free surface boundary is simulated with the distributed point source method (DPSM) and the moving particle semi-implicit (MPS) method, which do not require grids or meshes to handle the moving boundary with ease.
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An efficient method for two-fluid incompressible flows appropriate for the immersed boundary method
C. Frantzis,D.G.E. Grigoriadis +1 more
TL;DR: An efficient and robust numerical formulation for incompressible two-fluid flows is proposed, and a pressure-correction scheme is suggested for the solution of a constant coefficient Poisson equation for the pressure difference, extending the novel work of Dodd and Ferrante.
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Simulation of bubble dynamics in a microchannel using a front-tracking method
Kuo-Long Pan,Zhi-Jen Chen +1 more
TL;DR: By using a front-tracking approach for moving boundaries, whose surface properties are solved in terms of an immersed-boundary method, the dynamics of bubble transport in a microchannel is computationally studied and the ascending dynamics of multiple bubbles is investigated, specifically regarding their interactions.
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Numerical resolution of a potential diphasic low Mach number system
TL;DR: A bidimensional algorithm for the numerical discretization of a diphasic low Mach number (DLMN) system in the case of a potential approximation is proposed, the extension to the tridimensional geometry being natural.
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.
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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.
Journal Article
Bubbles, Drops, and Particles
TL;DR: In this paper, the authors evaluated the applicability of the standard κ-ϵ equations and other turbulence models with respect to their applicability in swirling, recirculating flows.
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Numerical analysis of blood flow in the heart
TL;DR: In this article, the authors extended previous work on the solution of the Navier-Stokes equations in the presence of moving immersed boundaries which interact with the fluid and introduced an improved numerical representation of the δ-function.