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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Numerical study of the sedimentation of spheroidal particles
TL;DR: In this article, the sedimentation of non-spherical (spheroidal) isolated and particle pairs in a viscous fluid via numerical simulations using the Immersed Boundary Method was investigated.
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Thermocapillary interaction of two bubbles or drops
Selman Nas,Gretar Tryggvason +1 more
TL;DR: In this article, numerical simulations of the thermocapillary motion of a pair of two-and three-dimensional fully deformable bubbles and drops are presented, where the Navier-Stokes equations coupled with the energy conservation equation are solved by a Front Tracking/Finite Difference Method.
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A 3D unsplit-advection volume tracking algorithm with planarity-preserving interface reconstruction
TL;DR: A new volume tracking method is introduced for tracking interfaces in three-dimensional (3D) geometries partitioned with orthogonal hexahedra using fully multidimensional fluxes that have their definition based in backward-trajectory remapping.
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Computational inertial microfluidics: a review
Sajad Razavi Bazaz,Ali Mashhadian,Abbas Ehsani,Suvash C. Saha,Timm Krüger,Majid Ebrahimi Warkiani,Majid Ebrahimi Warkiani +6 more
TL;DR: This review provides a blueprint for the consideration of numerical solutions for modeling of inertial particle motion, whether deformable or rigid, spherical or non-spherical, and whether suspended in Newtonian ornon-Newtonian fluids.
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Two-dimensional volume of fluid simulation studies on single bubble formation and dynamics in bubble columns
TL;DR: In this paper, a set of transient conservation equations of mass and momentum taking surface tension and gravitational force effects into consideration were solved by pressure implicit splitting operator (PISO) algorithm and a piecewise linear interface calculation (PLIC) was applied to characterize the behavior of gas-liquid interface movement in the VOF method.
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.