Journal ArticleDOI
A conservative level set method for two phase flow II
TLDR
In this article, the conservative level set method for incompressible two-phase flow with surface tension is studied. But the authors focus on the conservation of mass and do not consider the effect of the finite element discretization.About:
This article is published in Journal of Computational Physics.The article was published on 2005-11-20. It has received 1143 citations till now. The article focuses on the topics: Level set method & Discretization.read more
Citations
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Journal ArticleDOI
Topology optimization approaches: A comparative review
Ole Sigmund,Kurt Maute +1 more
TL;DR: An overview, comparison and critical review of the different approaches to topology optimization, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
Journal ArticleDOI
Level-set methods for structural topology optimization: a review
TL;DR: The convergence behavior of the optimization process is discussed, as well as control over the slope and smoothness of thelevel-set function, hole nucleation and the relation of level-set methods to other topology optimization methods.
Journal ArticleDOI
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.
Journal ArticleDOI
Modeling Primary Atomization
TL;DR: Stochastic simulation of the liquid jet depletion in the framework of fragmentation under scaling symmetry and primary atomization in terms of Reynolds-averaged Navier-Stokes (RANS) mixing with a strong variation of density are highlighted.
Journal ArticleDOI
Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications
TL;DR: A comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering is presented in this paper, where three common approaches in the sharp interface limit, namely the volume-of-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color function based methods and the phase-field method are discussed.
References
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Journal ArticleDOI
A continuum method for modeling surface tension
TL;DR: In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
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.
Book
Finite Volume Methods for Hyperbolic Problems
TL;DR: The CLAWPACK software as discussed by the authors is a popular tool for solving high-resolution hyperbolic problems with conservation laws and conservation laws of nonlinear scalar scalar conservation laws.
Book
Level Set Methods and Dynamic Implicit Surfaces
Stanley Osher,Ronald Fedkiw +1 more
TL;DR: A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful.
Journal ArticleDOI
Numerical solution of the Navier-Stokes equations
TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
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Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more