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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Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow
TL;DR: In this paper, a parametric finite element approximation of two-phase flow is presented, where the Stokes equations in the two phases are coupled via jump conditions across the interface, which gives rise to a natural discretization of the mean curvature of the interface.
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Free-surface fluctuations behind microbreakers : space-time behaviour and subsurface flow field
TL;DR: In this article, the authors investigated the unsteady development toward breaking of the wavy flow generated by a submerged hydrofoil starting from rest by solving the Navier-Stokes equations for the two-phase flow of air and water and by using a level set technique to capture the interface.
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Hybrid Particle/Grid Method for Predicting Motion of Micro- and Macrofree Surfaces
TL;DR: In this article, a hybrid particle/cubic interpolated propagation (CIP) method was developed to predict the motion of micro- and macro-free surfaces within gas-liquid flows.
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Mixed element FEM level set method for numerical simulation of immiscible fluids
TL;DR: A new realization of a finite element level set method for simulation of immiscible fluid flows is introduced and validated on numerical benchmarks and compared against two commercial simulation codes, Ansys Fluent and Comsol Multiphysics, shows that the developed method is a magnitude or more accurate and at the same time significantly faster than state of the art commercial codes.
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Direct numerical simulations of multifluid flows in a vertical channel undergoing topology changes
Jiacai Lu,Gretar Tryggvason +1 more
TL;DR: In this paper, the authors examined multifluid flows with changes in the topology of the interface separating the different fluids, in a turbulent vertical channel, using direct numerical simulations, and showed how different surface tension changes the evolution of the flow and the interface topology.
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.