A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows

@article{Sussman2000ACL,
  title={A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows},
  author={Mark Sussman and Elbridge Gerry Puckett},
  journal={Journal of Computational Physics},
  year={2000},
  volume={162},
  pages={301-337}
}
We present a coupled level set/volume-of-fluid (CLSVOF) method for computing 3D and axisymmetric incompressible two-phase flows. This method combines some of the advantages of the volume-of-fluid method with the level set method to obtain a method which is generally superior to either method alone. We present direct comparisons between computations made with the CLSVOF method and computations made with the level set method, the volume-of-fluid method, and the boundary integral method. We also… 

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References

SHOWING 1-10 OF 42 REFERENCES

An Adaptive Level Set Approach for Incompressible Two-Phase Flows

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.

A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows

We present a numerical method for computing solutions of the incompressible Euler or Navier?Stokes equations when a principal feature of the flow is the presence of an interface between two fluids

Axisymmetric free boundary problems

We present a number of three-dimensional axisymmetric free boundary problems for two immiscible fluids, such as air and water. A level set method is used where the interface is the zero level set of

An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow

TLDR
This paper implements a "constraint" along with higher order difference schemes in order to make the iteration method more accurate and efficient, and shows that the "distance level set scheme" with the added constraint competes well with available interface tracking schemes for basic advection of an interface.

Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique

We present here a brief description of a numerical technique suitable for solving axisymmetric (or two-dimensional) free-boundary problems of fluid mechanics. The technique is based on a

An efficient second-order projection method for viscous incompressible flow

In this paper we describe a second-order projection method for the time-dependent, incompressible Navier-Stokes equations. The method is a second-order fractional step scheme in which one first

A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows

TLDR
Eulerian finite difference methods based on a level set formulation derived for incompressible, immiscible Navier?Stokes equations are proposed and are capable of computing interface singularities such as merging and reconnection.

A continuum method for modeling surface tension

A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations

TLDR
A method for solving the equations governing time-dependent, variable density incompressible flow in two or three dimensions on an adaptive hierarchy of grids based on a projection formulation in which the first step is to solve advection?diffusion equations to predict intermediate velocities, and then project these Velocities onto a space of approximately divergence-free vector fields.