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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High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries
TL;DR: A review of some of the state-of-the-art numerical methods for solving the Stefan problem and the Poisson and the diffusion equations on irregular domains using (i) the level-set method for representing the (possibly moving) irregular domain’s boundary and (ii) a quadtree/octree node-based adaptive mesh refinement for capturing small length scales while significantly reducing the memory and CPU footprint.
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A Mathematical Model and MATLAB Code for Muscle-Fluid-Structure Simulations.
TL;DR: A simple model of the force generated through active contraction of muscles is presented and the muscles' forces are then used to drive the motion of flexible structures immersed in a viscous fluid.
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Numerical and Experimental Study of Large Steam-Air Bubbles Injected in a Water Pool
TL;DR: In this paper, the authors developed a computer simulation program for the hydrodynamics of the process using an isothermal piecewise linear interface construction-volume of fluid method and carried out an experiment with flow rates up to 50 l/s into a tank of 1 m3 volume.
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Emulsion flow through a packed bed with multiple drop breakup
TL;DR: In this article, pressure-driven squeezing of a concentrated emulsion of deformable drops through a randomly packed granular material is studied by rigorous three-dimensional multidrop-multiparticle simulations at low Reynolds numbers.
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On improving mass conservation of level set by reducing spatial discretization errors
TL;DR: This study shows that the LS method was shown to lead to loss (or gain) of mass when fluid filaments become comparable to grid size, while the VT methods were found prone to producing ‘‘blobby’’ structures, while particle-based, front-tracking methods were shown to perform better in conserving filamentary structures.
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.