A geometric VOF method for interface resolved phase change and conservative thermal energy advection

Malan, Leon; Malan, Arnaud G.; Zaleski, Stéphane; Rousseau, P.G.

doi:10.1016/j.jcp.2020.109920

Cited by 52 publications

(38 citation statements)

References 20 publications

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“…Expanding the above as per Equations ( 27) and (28) will lead to the desired VoF discretisation, i.e., Equation (26) is recovered. This ensures consistency between the VoF CICSAM flux and the energy term computed by HLLC.…”

Section: Numerical Energy Consistency Criteriamentioning

confidence: 99%

“…The third and final approach is a homogeneous flow model known as the "one-fluid" formulation, where an equilibrium is assumed to exist between the liquid and the gas phases. This one-fluid formulation has been extensively used in incompressible flow [23][24][25][26], and recently in compressible shock modelling [12,27,28] of liquid-gas systems. For this article, we shall consider the inviscid modelling of a liquid-gas flow via a homogeneous one-fluid method.…”

Section: Introductionmentioning

confidence: 99%

“…This ensures boundedness of the volume fraction field. However, historically, such VoF methods have been widely used for incompressible flow and have therefore mostly been used in conjunction with semi-implicit projection solvers [24,26,39,40].…”

Section: Introductionmentioning

confidence: 99%

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An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension

et al. 2021

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This paper presents an all-Mach method for two-phase inviscid flow in the presence of surface tension. A modified version of the Hartens–Lax–van Leer Contact (HLLC) solver is developed and combined for the first time with a widely used volume-of-fluid (VoF) method: the compressive interface capturing scheme for arbitrary meshes (CICSAM). This novel combination yields a scheme with both HLLC shock capturing as well as accurate liquid–gas interface tracking characteristics. It is achieved by reconstructing non-conservative (primitive) variables in a consistent manner to yield both robustness and accuracy. Liquid–gas interface curvature is computed via height functions and the convolution method. We emphasize the use of VoF in the interest of interface accuracy when modelling surface tension effects. The method is validated using a range of test-cases available in the literature. The results show flow features that are in sensible agreement with previous experimental and numerical work. In particular, the use of the HLLC-VoF combination leads to a sharp volume fraction and energy field with improved accuracy.

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Section: Numerical Energy Consistency Criteriamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension

et al. 2021

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“…The geometric VoF represents the interface by a reconstructed thin interface inside each of the interface cells explicitly and is reported to have better performance in interface representations as well as reducing spurious velocities [12]. Some open-source codes or libraries incorporate the geometric VoF, such as PARIS [13], Basilisk [14] , isoAdvector [15], interPlicFoam [16] and VoFLibrary [7].…”

Section: Introductionmentioning

confidence: 99%

An improved Coupled Level Set and Volume of Fluid (i-CLSVoF) framework for droplet evaporation

Xia¹,

Kamlah²

2022

Preprint

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We present an improved Coupled Level Set and Volume of Fluid (i-CLSVoF) framework without explicit interface reconstruction for modelling micro-sized droplets with and without evaporation. A new surface tension force model with additional filtering steps is developed and implemented in the i-CLSVoF framework to suppress un-physical spurious velocities. Numerical benchmark cases demonstrate the excellence of the i-CLSVoF framework in reducing the un-physical spurious velocities. A simple yet efficient velocity-potential based approach is proposed to reconstruct a divergence-free velocity field for the advection of the free surface when the phase changes. The new approach fixes the numerical issues resulting from the evaporation-induced velocity jump at the interface. The smeared mass source term approach proposed in this work guarantees more numerical stability than the non-smeared approach.Two different evaporation models (constant mass flux and thermally driven evaporation models) are implemented into i-CLSVoF. Extensive numerical validations are conducted to validate the evaporation models.

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“…Our formulation is based on the VOF method, which was originally proposed by Hirt and Nichols in 1981 [35] and has subsequently been improved in many works, for example [39][40][41]. There exist two versions of the method: the geometric VOF [41,42] wherein the distribution of ϕ is found geometrically by, e.g., advecting a plane interface with a predefined velocity u, and the algebraic VOF [43] wherein ϕ is represented by a function, such as a polynomial or trigonometric function. The geometric VOF is more widely used due to its advantages in terms of mass conservation, robustness to topological changes, such as a merger or break-up, and relative ease of extension to high dimensional Cartesian grids [44].…”

Section: Introductionmentioning

confidence: 99%

The Coupled Volume of Fluid and Brinkman Penalization Methods for Simulation of Incompressible Multiphase Flows

Sharaborin

Rogozin

Kasimov

2021

Fluids

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In this work, we contribute to the development of numerical algorithms for the direct simulation of three-dimensional incompressible multiphase flows in the presence of multiple fluids and solids. The volume of fluid method is used for interface tracking, and the Brinkman penalization method is used to treat solids; the latter is assumed to be perfectly superhydrophobic or perfectly superhydrophilic, to have an arbitrary shape, and to move with a prescribed velocity. The proposed algorithm is implemented in the open-source software Basilisk and is validated on a number of test cases, such as the Stokes flow between a periodic array of cylinders, vortex decay problem, and multiphase flow around moving solids.

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A geometric VOF method for interface resolved phase change and conservative thermal energy advection

Cited by 52 publications

References 20 publications

An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension

An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension

An improved Coupled Level Set and Volume of Fluid (i-CLSVoF) framework for droplet evaporation

The Coupled Volume of Fluid and Brinkman Penalization Methods for Simulation of Incompressible Multiphase Flows

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