The VOF method applied to the numerical simulation of a 2D liquid jet under gravity

The simulation of certain flow problems requires a means for modeling a free fluid surface; examples being viscoelastic die swell or fluid sloshing in tanks. In a finite-element context, this type of problem can, among many other options, be dealt with using an interface-tracking approach with the DeformingSpatial-Domain/Stabilized-Space-Time (DSD/SST) formulation. A difficult issue that is connected with this type of approach is the determination of a suitable coupling mechanism between the fluid velocity at the boundary and the displacement of the boundary mesh nodes. In order to avoid large mesh distortions, one goal is to keep the nodal movements as small as possible; but of course still compliant with the nopenetration boundary condition. Standard displacement techniques are full velocity, velocity in a specific coordinate direction, and velocity in normal direction. In this work, we investigate how the interfacetracking approach can be combined with isogeometric analysis for the spatial discretization. If NURBS basis functions of sufficient order are used for both the geometry and the solution, both a continuous normal vector as well as the velocity are available on the entire boundary. This circumstance allows the weak imposition of the no-penetration boundary condition. We compare this option with an alternative that relies on strong imposition at discrete points. Furthermore, we examine several coupling methods between the fluid equations, boundary conditions, and equations for the adjustment of interior control point positions.

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“…Nevertheless, also other methods are applicable. These include particle methods [26,27,28] and volume of fluid [29].…”

Section: Introductionmentioning

confidence: 99%

Boundary-conforming free-surface flow computations: Interface tracking for linear, higher-order and isogeometric finite elements

Zwicke

Eusterholz

Elgeti

2017

Computer Methods in Applied Mechanics and Engineering

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“…The solver solves the continuity and Naiver-Stokes equations for two incompressible, isothermal, immiscible, transient and turbulent fluids. The material properties such as the density, viscosity, and specific heat capacity are constant in the region filled by one of the two fluids except at the interphase (Rocco, Coppola & Luca, 2010). To capture the interphase between the two phases, interFoam employs the volume of fluid (VOF) method, a numerical technique for tracking and locating an interface between phases (Date, 2017).…”

Section: Solvermentioning

confidence: 99%

Modeling the effect of storm-water flow on sewer system leakage

Baseka¹

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The storm-water overflow on manhole is numerically solved in this study. To produce a real representation of storm overflow, the Navier-Stokes equations were used. Turbulence flow was modelled using the standard k-epsilon turbulence model together with the volume of fluid method for phase surface tracking. The open-source fluid dynamics tool OpenFOAM 5.0 was used for solving the model and the visualization tool, paraview 5.4.0, was used for processing the solution data. The convergence test was performed at three different mesh sizes. The numerical solution was independent of mesh sizes. The risen storm-water column inside a manhole exerts a non-uniform pressure on the manhole cover. The non-uniform pressure distribution leads to different uplifting forces at manhole cover areas. However, the global uplifting force remains constant as long as the storm-water overflow is happening on the manhole. The overflow intensity is on manhole, and areas opposite to the outlet pipe give the highest intensity of the leaking storm-water. The rate of storm-water column rise inside a manhole is reduced by the use of manholes with larger width (or diameters) and pipes of larger diameters.

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Computational study of internal flow characteristics of the air induction nozzle

Abdelmotalib

Dafsari

Sui

2021

International Journal of Mechanical Sciences

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The VOF method applied to the numerical simulation of a 2D liquid jet under gravity

Cited by 8 publications

References 12 publications

Boundary-conforming free-surface flow computations: Interface tracking for linear, higher-order and isogeometric finite elements

Boundary-conforming free-surface flow computations: Interface tracking for linear, higher-order and isogeometric finite elements

Modeling the effect of storm-water flow on sewer system leakage

Computational study of internal flow characteristics of the air induction nozzle

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