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
Citations
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A coupled volume-of-fluid and level set (VOSET) method based on remapping algorithm for unstructured triangular grids
TL;DR: The present VOSET method can not only satisfy mass conservation but also predict the surface tension with good accuracy, thus combining the advantages and overcoming the disadvantages of volume-of-fluid (VOF) and level set (LS) methods.
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Study of the long-time dynamics of a viscous vortex sheet with a fully adaptive nonstiff method
TL;DR: In this paper, a numerical investigation of the long-time dynamics of two immiscible two-dimensional fluids shearing past one another is presented, where the fluids are incompressible and the interface between the bulk phases is subjected to surface tension.
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Compressive advection and multi-component methods for interface-capturing
Dimitrios Pavlidis,Jefferson L. M. A. Gomes,Zhihua Xie,James R. Percival,Christopher C. Pain,Omar Matar +5 more
TL;DR: Numerical simulations are performed on coarse unstructured meshes to demonstrate the potential of the methods described here to capture complex dynamics in multiphase flows.
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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 article, 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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On improving mass conservation properties of the hybrid particle-level-set method
TL;DR: Aiming at large-scale computations, the hybrid particle-level-set method exhibits better mass-conservation properties, especially in the case of marginally resolved interfaces, in comparison with pure level-set methods.
References
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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.