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 numerical study of large amplitude baroclinic instabilities of flames
Jery Chomiak,Gang hou +1 more
TL;DR: In this paper, a steady propagation of a premixed flame subject to large amplitude perturbations generated by baroclinic instabilities was studied numerically, and a Eulerian interface tracking technique was used to follow the flame, based on the level set methodology (G equation) with expansion effects included.
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Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation
TL;DR: In this article, a model consisting of transport equations at the scale of the porous medium (macro-scale) while taking the processes of convection and diffusion into account is presented.
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A coupled volume-of-fluid and level-set method (VOSET) for capturing interface of two-phase flows in arbitrary polygon grid
TL;DR: An extension of coupled volume-of-fluid and level-set method (VOSET) for simulating free surfaces flows in arbitrary 2D polygon meshes and shows excellent agreements with experimental data and benchmark solutions in literatures is presented.
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An Efficient Level Set Remedy Approach for Simulations of Two-Phase Flow Based on Sigmoid Function
TL;DR: An improved, concise and inexpensive remedy approach for level set methods to deal with the mass non-conservation issue especially in large-scale simulations, where computational cost is always a constraint limiting broad applications.
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Particle simulations of morphogenesis
TL;DR: This paper discusses recent advances in particle methods for the simulation of biological systems at the mesoscopic and the macroscale level and presents results from applications of particle methods including reaction–diffusion on deforming surfaces, deterministic and stochastic descriptions of tumor growth and angiogenesis.
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.