Volume tracking of interfaces having surface tension in two and three dimensions

Kothe, Douglas B.; Rider, William J.; Mosso, Stewart John; Brock, Jerry S.; Hochstein, John I.

doi:10.2514/6.1996-859

Cited by 159 publications

(183 citation statements)

References 28 publications

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“…The proposed method is based on a second-order Taylor series expansion of the color function c from cell P to its neighbor cells Q. In contrast to the least-squares method reported by Kothe et al [44], CELESTE is constructed around an overdefined system of equations and utilizes a least-squares fit not only for the evaluation of the interface normal vector but also for the evaluation of the interface curvature.…”

Section: Evaluation Of the Interface Curvaturementioning

confidence: 99%

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

Denner

Wachem

2014

Numerical Heat Transfer, Part B: Fundamentals

102

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A fully-coupled balanced-force numerical framework for two-phase flows with surface tension on arbitrary collocated meshes is presented, including a novel method to evaluate the curvature from volume fractions. The presented framework reduces the imbalances at the interface to solver tolerance and provides stable and reliable results for density ratios of 10 6 and larger. The new method to evaluate the curvature is based on a least-squares fit, providing better or equal accuracy compared to implementations found in the literature, which are generally limited to structured meshes, and the accuracy on Cartesian and tetrahedral meshes is shown to be comparable.

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Section: Evaluation Of the Interface Curvaturementioning

confidence: 99%

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

Denner

Wachem

2014

Numerical Heat Transfer, Part B: Fundamentals

102

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“…The computational domain is 100 × 100 × 100, with 10 computational cells per unit distance. [22]). Comparisons in two dimensions, with convergence results demonstrating secondorder accuracy, appear in [35].…”

Section: Interface Advectionmentioning

confidence: 99%

A Conservative Three-Dimensional Eulerian Method for Coupled Solid–Fluid Shock Capturing

Miller

Colella²

2002

Journal of Computational Physics

192

193

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A new method is presented for the explicit Eulerian finite difference computation of shock capturing problems involving multiple resolved material phases in three dimensions. We solve separately for each phase the equations of fluid dynamics or solid mechanics, using as interface boundary conditions artificially extended representations of the individual phases. For fluids we use a new 3D spatially unsplit implementation of the piecewise parabolic (PPM) method of Colella and Woodward. For solids we use the 3D spatially unsplit Eulerian solid mechanics method of Miller and Colella. Vacuum and perfectly incompressible obstacles may also be employed as phases.A separate problem is the time evolution of material interfaces, which are represented by planar segments constructed with a volume-of-fluid method. The volume fractions are advanced in time using a second-order 3D spatially unsplit advection routine with a velocity field determined by solution of interface-normal two-phase Riemann problems. From the Riemann problem solutions we also determine crossinterface momentum and energy fluxes.The volume fractions in mixed cells may be arbitrarily small, which would ordinarily make the Courant-Friedrichs-Lewy time step stability limit arbitrarily small as well. We overcome this limitation using the mass-redistribution formalism to conservatively redistribute generalized mass in the neighborhood of the split cells. 3D EULERIAN SHOCK CAPTURING METHOD 27We present an application of this method to an explosion contained in a metal can: a reactive fluid (approximating PBX 9404) is encased within an elastic-plastic solid (approximating copper) surrounded by vacuum. Our implementation is in parallel, and with adaptive mesh refinement. c 2002 Elsevier Science (USA)

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“…The Piecewise Linear Interface Calculation (PLIC) [11,12] method is employed to calculate the position of the free surface in grids, and the interface between fluids are re-built accordingly. The PLIC method evaluates the fluid interface as a tiltable, horizontal surface.…”

Section: Vof Modelmentioning

confidence: 99%

Hydrodynamic Analysis for a Jacket-Type Support Structure of the Offshore wind Turbine

Chen

Lin

et al. 2016

MATEC Web Conf.

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Abstract. In the present study, the hydrodynamic load due to extreme external condition, such as typhoon, on the offshore wind turbine (OWT) has been investigated by numerical simulations. The hydrodynamic loads including the sea current, regular and irregular wave on the structure are taken into account. The sea current is considered with the constant flow speed, whereas the wave is considered as regular and irregular based on the observed data at considered locations. Using Splash3D, a three-dimensional numerical model is developed for performing the force evaluation of the OWT. Multi-phase flow is evaluated by the volume of fraction (VOF) model, and the turbulent flow is described by the large-eddy-simulation (LES) model. It can be deduced that using the regular wave as the hydrodynamic load for the evaluation of the OWT system will vanish some instantaneous extreme wave. In the case of using the irregular wave, the instantaneous extreme wave is also taken into account. With such more practical hydrodynamic load, the average force for the case of irregular wave is 64% larger than that of the regular wave.

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Volume tracking of interfaces having surface tension in two and three dimensions

Cited by 159 publications

References 28 publications

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

A Conservative Three-Dimensional Eulerian Method for Coupled Solid–Fluid Shock Capturing

Hydrodynamic Analysis for a Jacket-Type Support Structure of the Offshore wind Turbine

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