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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Journal ArticleDOI
An Adaptive, Cartesian, Front-Tracking Method for the Motion, Deformation and Adhesion of Circulating Cells
TL;DR: A multi-fluid, front-tracking method with staggered, adaptively refined meshes that models the coupling of the relevant forces resolving the disparate length scales involved in cell adhesion.
Journal ArticleDOI
Deformation and breakup of a viscoelastic drop in a Newtonian matrix under steady shear
Nishith Aggarwal,Kausik Sarkar +1 more
TL;DR: In this article, the deformation of a viscoelastic drop suspended in a Newtonian fluid subjected to a steady shear was investigated using a front-tracking finite-difference method.
Journal ArticleDOI
An interaction potential based lattice Boltzmann method with adaptive mesh refinement (AMR) for two-phase flow simulation
Zhao Yu,Liang-Shih Fan +1 more
TL;DR: The adaptive mesh refinement method for the lattice Boltzmann method for two-phase flow simulation is developed to overcome insufficient resolution at the interface and may appreciably enhance the capability of LBM in the simulation of complex multiphase flows under realistic conditions.
Book ChapterDOI
An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges
TL;DR: In this article, the authors present a review of the literature on phase field simulation for two-phase flows and discuss a suitable numerical scheme, such as spectral methods, to handle the subtleties of the model.
Journal ArticleDOI
Mixing in a drop moving through a serpentine channel: A computational study
Metin Muradoglu,Howard A. Stone +1 more
TL;DR: In this paper, the chaotic mixing in a drop moving through a winding channel is studied computationally in a two-dimensional setting and the effects of various non-dimensional parameters on the quality of mixing are studied and it is found that the capillary number, the ratio of the drop phase fluid viscosity to that of the ambient fluid and the relative size of a drop compared to the average channel width are the most critical parameters influencing mixing.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.