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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On the combined effects of surface tension force calculation and interface advection on spurious currents within Volume of Fluid and Level Set frameworks
TL;DR: This paper deals with the comparison of Eulerian methods to take into account the capillary contribution in the vicinity of a fluid-fluid interface to investigate the ability of Volume of Fluid and Level Set methods to accurately calculate the curvature and the magnitude of spurious currents due to errors in the calculated curvature after advection.
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An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
TL;DR: This paper proposes an implicit scheme which reduces to a scheme for the quasineutral Euler model in the qu asineutral limit, and shows that this scheme has some accuracy problems in the limit of small electron to ion mass ratio in reproducing the correct electron velocity.
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Level set immersed boundary method for coupled simulation of air/water interaction with complex floating structures
TL;DR: The accuracy of a new approach for calculating the force, namely the pressure projection boundary condition (PPBC), which is based on projecting the pressure on the surface of the body using the momentum equation along the local normal to the body direction is developed.
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Animation of Bubbles in Liquid
Jeong-Mo Hong,Chang-Hun Kim +1 more
TL;DR: A new fluid animation technique in which liquid and gas interact with each other, using the example of bubbles rising in water, is presented, which combines the volume‐of‐fluid method and the front‐tracking method developed in the field of computational fluid dynamics.
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On the simulation of flows with violent free surface motion
TL;DR: In this paper, a volume of fluid (VOF) technique was developed and coupled with an incompressible Euler/Navier-Stokes solver operating on adaptive, unstructured grids to simulate the interactions of extreme waves and three-dimensional structures.
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.