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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Quantitative benchmark computations of two-dimensional bubble dynamics
S Hysing,Stefan Turek,Dmitri Kuzmin,Nicola Parolini,Erik Burman,Sashikumaar Ganesan,Lutz Tobiska +6 more
TL;DR: In this article, benchmark configurations for quantitative validation and comparison of incompressible interfacial flow codes, which model two-dimensional bubbles rising in liquid columns, are proposed, and the benchmark quantities: circularity, center of mass, and mean rise velocity are defined and measured to monitor convergence toward a reference solution.
A Sharp Interface Cartesian Grid Methodfor Simulating Flows with ComplexMoving Boundaries
TL;DR: A Sharp Interface Cartesian Grid Method for Simulating Flows with Complex Moving Boundaries H. Mittal, R. Udaykumar, P. Rampunggoon, and A. Khanna.
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A Volume of Fluid Based Method for Fluid Flows with Phase Change
Samuel W. J. Welch,John Wilson +1 more
TL;DR: In this article, a numerical method for simulation of flows with mass transfer due to changes of phase is presented, where the authors use a volume of fluid (VOF) based interface tracking method in conjunction with a mass transfer model and a model for surface tension.
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Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiseuille flows
TL;DR: In this article, the results of a two-dimensional finite element simulation of the motion of a circular particle in a Couette and a Poiseuille flow were reported, and the authors compared the results with pertinent experimental data and perturbation theories.
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A five-equation model for the simulation of interfaces between compressible fluids
TL;DR: In this article, a diffuse-interface method is proposed for the simulation of interfaces between compressible fluids with general equations of state, including tabulated laws, and the interface is allowed to diffuse on a small number of computational cells.
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.