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 simulation of flows of solid-liquid mixtures
TL;DR: In this paper, a generalized Galerkin finite element formulation was developed to simulate the motion of a large number of solid particles in a flowing liquid, where the nodes in the interior of the fluid were computed using Laplace's equation to guarantee a smoothly varying distribution of the nodes.
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Two-phase binary fluids and immiscible fluids described by an order parameter
TL;DR: In this paper, a unified framework for coupled Navier-Stokes/Cahn-Hilliard equations is developed using, as a basis, a balance law for microforces in conjunction with constitutive equations consistent with a mechanical version of the second law.
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Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method
TL;DR: A stable numerical scheme for modelling multiphase flow in porous media, where the characteristic size of the flow domain is of the order of microns to millimetres, and the accuracy and stability of the numerical method are verified, which indicate the potential of the method to predict multiphases flow processes.
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An accurate conservative level set/ghost fluid method for simulating turbulent atomization
TL;DR: A novel methodology for simulating incompressible two-phase flows by combining an improved version of the conservative level set technique with a ghost fluid approach, which provides a way of handling the interfacial forces and large density jumps associated with two- phase flows with good accuracy, while avoiding artificial spreading of the interface.
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The lattice Boltzmann equation method: theoretical interpretation, numerics and implications
TL;DR: The purpose of the present paper is to provide a comprehensive, self-contained and consistent tutorial on the LBE method, aiming to clarify misunderstandings and eliminate some confusion that seems to persist in the L BE-related CFD literature.
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.