Journal ArticleDOI
A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change
TLDR
A sharp interface capturing method is described for the study of incompressible multiphase flows with phase change using the level set method to keep track of the interface between the two phases and a ghost fluid approach to impose the jump conditions at the interface.About:
This article is published in Journal of Computational Physics.The article was published on 2007-03-30. It has received 313 citations till now. The article focuses on the topics: Stefan problem & Navier–Stokes equations.read more
Citations
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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 ArticleDOI
Review of computational studies on boiling and condensation
TL;DR: In this article, a large pool of published papers on computational simulation of boiling and condensation is reviewed and compared, as well as identification of future research needs to improve predictive computational capabilities.
Journal ArticleDOI
A review of level-set methods and some recent applications
TL;DR: This work discusses how to impose boundary conditions at irregular domains and free boundaries, as well as the extension of level-set methods to adaptive Cartesian grids and parallel architectures.
Journal ArticleDOI
Evaporation model for interfacial flows based on a continuum-field representation of the source terms
Steffen Hardt,F. Wondra +1 more
TL;DR: A major advantage of the developed evaporation model is that it does not refer to intrinsic details of the interface-capturing scheme, but relies on continuum-field quantities that can be computed by virtually any CFD approach.
Journal ArticleDOI
A second order accurate level set method on non-graded adaptive cartesian grids
Chohong Min,Frederic Gibou +1 more
TL;DR: A level set method on non-graded adaptive Cartesian grids, i.e. grids for which the ratio between adjacent cells is not constrained, is presented and a second order accurate upwind method to evolve the non-linear level set equation under a normal velocity is obtained.
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
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 ArticleDOI
Efficient Implementation of Weighted ENO Schemes
Guang-Shan Jiang,Chi-Wang Shu +1 more
TL;DR: A new way of measuring the smoothness of a numerical solution is proposed, emulating the idea of minimizing the total variation of the approximation, which results in a fifth-order WENO scheme for the caser= 3, instead of the fourth-order with the original smoothness measurement by Liuet al.
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