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 multiphase compressible model for the simulation of multiphase flows
TL;DR: In this article, a 1-fluid model with a reformulated mass conservation equation is proposed to manage incompressible two-phase flows as well as compressible motions on fixed structured grids.
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Impact of a vortex ring on a density interface using a regularized inviscid vortex sheet method
TL;DR: A new, fully three-dimensional, vortex-in-cell method designed to follow the unsteady motion of inviscid vortex sheets with or without small (Boussinesq) density discontinuities is presented and allows automatic, near-perfect conservation of circulation despite repeated stretching and folding of the interface.
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A Eulerian level set/vortex sheet method for two-phase interface dynamics
TL;DR: In this paper, a level set/vortex sheet method is presented to simulate the dynamics of two-phase interfaces in the presence of surface tension forces, and the results of three test problems, namely the roll-up of a vortex sheet without surface tension, the growth of the Kelvin-Helmholtz instability in the linear regime and the long time evolution of the KH instability are presented.
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The development of a Cartesian cut cell method for incompressible viscous flows
TL;DR: In this paper, the Cartesian cut cell technique is used for fitting the complex geometry of solid boundaries across a stationary background Cartesian grid which is located inside the computational domain, and a time accurate solution is achieved by using an implicit dual-time iteration technique based on a slope-limited, high-order, Godunov-type scheme for the inviscid fluxes, while the viscous fluxes are estimated using central differencing.
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Simulations of Droplet Spreading and Solidification Using an Improved SPH Model
TL;DR: Bao, K., Wu, E. H., Zhang, H. L., Zheng, L. L. as mentioned in this paper, and Wei, J. A., Zhang and H.L.
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.