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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Fluid dynamics of floating particles
TL;DR: In this paper, a numerical package is developed to simulate particle motions in fluid interfaces, and the particles are moved in a direct simulation respecting the fundamental equations of motion of fluids and solid particles without the use of models.
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Steady bubble rise and deformation in Newtonian and viscoplastic fluids and conditions for bubble entrapment
TL;DR: In this article, the authors examined the buoyancy-driven rise of a bubble in a Newtonian or a viscoplastic fluid assuming axial symmetry and steady flow, and determined the nodal points of the computational mesh by solving a set of elliptic differential equations to follow the often large deformations of the bubble surface.
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Buoyancy-driven interactions between two deformable viscous drops
Michael Manga,Howard A. Stone +1 more
TL;DR: In this article, the interaction and deformation of drops in axisymmetric configurations were studied in the low Reynolds number flow limit for sufficiently large Bond numbers that the drops become significantly deformed.
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A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows
TL;DR: In this paper, a new mixed markers and volume-of-fluid (VOF) algorithm for the reconstruction and advection of interfaces in the two-dimensional space is presented.
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A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios
Suchuan Dong,Jie Shen +1 more
TL;DR: In this paper, an efficient time-stepping scheme for simulations of the coupled Navier-Stokes Cahn-Hilliard equations for the phase field approach has been presented, which is suitable for large density ratios, and numerical experiments with density ratios up to 1000 have been presented.
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.