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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Phase-field-based lattice Boltzmann modeling of large-density-ratio two-phase flows.
TL;DR: A simple and accurate lattice Boltzmann (LB) model for immiscible two-phase flows, which is able to deal with large density contrasts and the fascinating phenomena of droplet splashing is successfully reproduced and the numerically predicted spreading radius exhibits to obey the power law reported in the literature.
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An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows
TL;DR: In this paper, the authors presented an improvement of the reconstruction method proposed by Lopez et al. for two-dimensional flows, which allows tracking fluid structures thinner than the cell size by allowing the interface to be represented in each cell by two non-contiguous linear segments.
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A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics
TL;DR: It is shown that the use of a curvature computed by means of a direct derivation of the level set function leads to inaccurate and oscillatory results.
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Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime
TL;DR: In this article, the authors analyzed two diffuse interface models to study pinchoff and reconnection in binary fluid flow in a Hele-Shaw cell with arbitrary density and viscosity contrast between the components.
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Progress in numerical simulation of yield stress fluid flows
Pierre Saramito,Anthony Wachs +1 more
TL;DR: This paper presents and analyze a variety of applications and extensions involving viscoplastic flow simulations: yield slip at the wall, heat transfer, thixotropy, granular materials, and combining elasticity, with multiple phases and shallow flow approximations.
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.