Journal ArticleDOI
Spatially adaptive techniques for level set methods and incompressible flow
TLDR
Both historical and most recent works focused on improving the computational accuracy of the level set method are discussed, focusing in part on applications related to incompressible flow due to both of its popularity and stringent accuracy requirements.About:
This article is published in Computers & Fluids.The article was published on 2005-05-03. It has received 266 citations till now. The article focuses on the topics: Level set method.read more
Citations
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Journal ArticleDOI
An accurate adaptive solver for surface-tension-driven interfacial flows
TL;DR: The method is shown to recover exact equilibrium (to machine accuracy) between surface-tension and pressure gradient in the case of a stationary droplet, irrespective of viscosity and spatial resolution.
Journal ArticleDOI
High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
TL;DR: The history and basic formulation of WENO schemes are reviewed, the main ideas in using WenO schemes to solve various hyperbolic PDEs and other convection dominated problems are outlined, and a collection of applications in areas including computational fluid dynamics, computational astronomy and astrophysics, semiconductor device simulation, traffic flow models, computational biology, and some non-PDE applications are presented.
Journal ArticleDOI
Evaluating the performance of the two-phase flow solver interFoam
TL;DR: The performance of the open source multiphase flow solver, interFoam, is evaluated using a variety of verification and validation test cases, which include verification tests for pure advection (kinematics), dynamics in the high Weber number limit and dynamics of surface tension-dominated flows.
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.
Journal Article
High-order essentially non-oscillatory schemes for Hamilton-Jacobi equations
TL;DR: In this article, central weighted essentially nonoscillatory (CWENO) schemes for Hamilton-Jacobi equations are investigated, which yield uniform high-order accuracy in smooth regions and sharply resolve discontinuities in the derivatives.
References
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Book
Iterative Methods for Sparse Linear Systems
TL;DR: This chapter discusses methods related to the normal equations of linear algebra, and some of the techniques used in this chapter were derived from previous chapters of this book.
Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Journal ArticleDOI
Active contours without edges
Tony F. Chan,Luminita A. Vese +1 more
TL;DR: A new model for active contours to detect objects in a given image, based on techniques of curve evolution, Mumford-Shah (1989) functional for segmentation and level sets is proposed, which can detect objects whose boundaries are not necessarily defined by the gradient.
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.
Related Papers (5)
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more