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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Fully Resolved Numerical Simulations of Fused Deposition Modeling. Part I-Fluid Flow
TL;DR: In this paper, a front-tracking/finite volume method is extended to model the injection of hot polymer and its cooling down, and the accuracy and convergence properties of the new method are tested by grid refinement.
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Numerical simulation of flames as gas-dynamic discontinuities
TL;DR: In this paper, a level-set method is used to track down the flame, which is treated as a free-boundary interface, with different densities for the burnt and unburnt gases, supplemented by singular source terms that properly account for thermal expansion effects.
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Dynamic rheology of a dilute suspension of elastic capsules: effect of capsule tank-treading, swinging and tumbling
TL;DR: In this article, the authors studied the effect of unsteady swinging and tumbling motion on the rheology of a dilute suspension of oblate-shaped elastic capsules.
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An improved method for calculation of interface pressure force in PLIC-VOF methods
TL;DR: In this article, a method for the application of interface force in the computational modeling of free surfaces and interfaces which uses PLIC-VOF methods is developed, which is applied on a staggered grid and it is referred to as Staggered Grid Interfere Pressure calculation method or SGIP.
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Free surface flow and heat transfer in cavities: the sea algorithm
TL;DR: In this article, a two-valued scalar advection equation is solved to mark the extent of each fluid, and the continuity equation is expressed in volumetric form, with appropriate flux corrections in the momentum and enthalpy equations.
References
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Journal ArticleDOI
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.