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 method for the quasi-incompressible Cahn–Hilliard–Navier–Stokes equations for variable density flows with a discrete energy law
TL;DR: This paper investigates numerically a diffuse interface model for the Navier–Stokes equation with fluid–fluid interface when the fluids have different densities and designs a C 0 finite element method and a special temporal scheme where the energy law is preserved at the discrete level.
Journal ArticleDOI
A fixed-grid, sharp-interface method for bubble dynamics and phase change
Tao Ye,Wei Shyy,Jacob N. Chung +2 more
TL;DR: In this article, a numerical method for direct simulation of bubble dynamics with large liquid-to-vapor density ratio and phase change was developed, which is based on a fixed-grid, finite volume method capable of treating the interface as a sharp discontinuity.
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A level set characteristic Galerkin finite element method for free surface flows
TL;DR: This paper presents a numerical method for free surface flows that couples the incompressible Navier–Stokes equations with the level set method in the finite element framework and indicates that the characteristic Galerkin approximation of thelevel set equations yields more accurate solutions.
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A moving mesh interface tracking method for 3D incompressible two-phase flows
Shaoping Quan,David P. Schmidt +1 more
TL;DR: An interface tracking method using an unstructured moving mesh has been developed for simulating three-dimensional, incompressible, and immiscible two-phase flows and is found to be in excellent agreement with analytical solutions and experimental results.
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A direct numerical simulation study of the buoyant rise of bubbles at O(100) Reynolds number
TL;DR: In this paper, the authors examined the buoyancy-driven motion of bubbles by direct numerical simulations and found that the probability density functions of the fluctuation velocities of the bubbles are approximately Gaussian.
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.