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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Direct numerical simulation of droplet collision with stationary spherical particle: A comprehensive map of outcomes
Ikroh Yoon,Seungwon Shin +1 more
TL;DR: In this paper, the authors use direct numerical simulation based on the level contour reconstruction method to investigate head-on droplet collisions with dry, stationary, spherical particles, where three important impact parameters are varied over broad ranges: Weber number (4 ≤ We ≤ 150), surface wettability (20° ≤ θ eqi ≤ 160°), and droplet-toparticle-size ratio (1/3 ≤ Ω ≤ 2), leading to a total of 225 collision scenarios being examined.
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Short note: A note on pressure accuracy in immersed boundary method for Stokes flow
TL;DR: In this short note, a simplified one-dimensional analysis and two-dimensional numerical experiments are provided to predict that the overall accuracy for the pressure or indicator function in immersed boundary calculations is first-order accurate in L"1 norm, half- order accurate inL"2 norm, but has O(1) error in L%"~ norm.
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Phase-field modeling of multicomponent and multiphase flows in microfluidic systems: a review
TL;DR: The phase-field method is of emerging importance in numerical computation of transport phenomena involving multiple phases and/or components as mentioned in this paper, which can be used to model interfacial phenomena typical to multiphase flows encountered in engineering and nature but also turns out to be a promising tool in modeling the dynamics of complex fluid-fluid interfaces encountered in physiological systems such as dynamics of vesicles and red blood cells.
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An adaptive Cartesian cut-cell/level-set method to simulate incompressible two-phase flows with embedded moving solid boundaries
TL;DR: In this article, a Cartesian grid method has been developed to simulate two dimensional unsteady viscous incompressible two-phase flows with embedded moving solid boundaries, where the solid boundary is treated by a cut cell approach.
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Effects of confinement on bubble dynamics in a square duct
TL;DR: In this paper, the effects of confinement on three-dimensional bubble dynamics in a square duct were simulated using a GPU implemented VOF numerical algorithm on a Cartesian collocated grid with an improved method to handle the surface tension force.
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.