An Adaptive Level Set Approach for Incompressible Two-Phase Flows
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TLDR
This work couple the level set scheme to an adaptive projection method for the incompressible Navier?Stokes equations, in order to achieve higher resolution of the free surface with a minimum of additional expense.About:
This article is published in Journal of Computational Physics.The article was published on 1999-01-01 and is currently open access. It has received 651 citations till now. The article focuses on the topics: Level set method & Free surface.read more
Citations
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A front-tracking method for the computations of multiphase flow
Gretar Tryggvason,Bernard Bunner,Asghar Esmaeeli,Damir Juric,Nabeel Al-Rawahi,Warren Tauber,Jaehoon Han,Selman Nas,Y.-J. Jan +8 more
TL;DR: In this paper, a front-tracking method for multiphase flows is presented, which is based on writing one set of governing equations for the whole computational domain and treating the different phases as one fluid with variable material properties.
Journal ArticleDOI
A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows
TL;DR: In this article, a coupled level set/volume-of-fluid (CLSVOF) method was proposed for computing 3D and axisymmetric incompressible two-phase flows.
Journal ArticleDOI
A hybrid particle level set method for improved interface capturing
TL;DR: A new numerical method for improving the mass conservation properties of the level set method when the interface is passively advected in a flow field that compares favorably with volume of fluid methods in the conservation of mass and purely Lagrangian schemes for interface resolution.
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
Level set methods for fluid interfaces
James A. Sethian,Peter Smereka +1 more
TL;DR: An overview of level set methods, introduced by Osher and Sethian, for computing the solution to fluid-interface problems, which are computational techniques that rely on an implicit formulation of the interface, represented through a time-dependent initial-value partial-differential equation.
References
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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
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
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Chi-Wang Shu,Stanley Osher +1 more
TL;DR: Two methods of sharpening contact discontinuities-the subcell resolution idea of Harten and the artificial compression idea of Yang, which those authors originally used in the cell average framework-are applied to the current ENO schemes using numerical fluxes and TVD Runge-Kutta time discretizations.
Journal ArticleDOI
A level set approach for computing solutions to incompressible two-phase flow
TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
Journal ArticleDOI
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
ShuChi-Wang,OsherStanley +1 more
TL;DR: This work extends earlier work on the efficient implementation of ENO (essentially non-oscillatory) shock-capturing schemes by providing a new simplified expression for the ENO constructio...
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