Conservative and adaptive level-set method for the simulation of two-fluid flows

Bahbah, Chahrazade; Khalloufi, Mehdi; Larcher, Aurélien; Mesri, Youssef; Coupez, Thierry; Valette, Rudy; Hachem, Elie

doi:10.1016/j.compfluid.2019.06.022

Cited by 21 publications

(13 citation statements)

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“…We propose in this work an adaptive Eulerian framework for the simulation of both boiling and evaporation phenomena occurring at the interface of a heated 3D solid immersed in a liquid tank. It was shown that an adaptive Eulerian framework is very efficient for the simulation multiphase flows [25][26][27][28], compressible and incompressible flows [29] and yield stress fluids [30]. This framework takes into account the gas-liquid phase changes, the vapor formation and their dynamics, and enables consequently the simulation of 3D quenching or cooling of a heated solid.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Eulerian framework for boiling and evaporation

Khalloufi

Valette

Hachem

2020

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 99%

Adaptive Eulerian framework for boiling and evaporation

Khalloufi

Valette

Hachem

2020

Journal of Computational Physics

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“…It should be noted that this auto-reinitialization transport equation ( 43) is solved in finite-element by means of Streamline Upwind PetrovGalerkin (SUPG) method known to mitigate the numerical instabilities. See [24] for more numerical details.…”

Section: Level-set Methodsmentioning

confidence: 99%

On the analytical and numerical simulation of an oscillating drop in zero-gravity

2020

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The oscillation of a levitated drop is a widely used technique for the measurement of the surface tension and viscosity of liquids. Analyses are mainly based on theories developed in the nineteenth century for surface tension driven oscillations of a spherical, force-free, liquid drop. However, a complete analysis with both analytical and numerical approaches to study the damped oscillations of a viscous liquid drop remains challenging. We first propose in this work an extension of the theory that includes the coupled effects of surface tension and viscosity. The analytical solution permits derivation of both properties simultaneously, which is of interest for fluid with unknown viscosity. Then, the robustness of an Eulerian framework to simulate the fluid flow is discussed. Simulations of different oscillations modes for a liquid iron droplet immersed in a low density gas and comparisons with the derived theory are detailed and presented.

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“…As for the numerical flux of (u h ′ ϕ h ′ ) * , we choose the Lax-Friedrichs flux in equation (17) to substitute it:…”

Section: Solver For Level Set and Its Reinitialization Equationsmentioning

confidence: 99%

“…e same order interpolation functions are used for the velocity and pressure. As for the capturing of free surface, the simple and efficient level set method [16,17] is utilized. We employ the implicit discontinuous Galerkin method [18,19] to handle the level set and its reinitialization equations for the accuracy and stability.…”

Section: Introductionmentioning

confidence: 99%

The Finite Element Numerical Investigation of Free Surface Newtonian and Non-Newtonian Fluid Flows in the Rectangular Tanks

Gao

2020

Mathematical Problems in Engineering

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In this paper, we develop a new computational framework to investigate the sloshing free surface flow of Newtonian and non-Newtonian fluids in the rectangular tanks. We simulate the flow via a two-phase model and employ the fixed unstructured mesh in the computation to avoid the mesh distortion and reconstruction. As for the solution of Navier–Stokes equation, we utilize the SUPG finite element method based on the splitting scheme. The same order interpolation functions are then used for velocity and pressure. Moreover, the moving interface is captured via the concise level set method. We take advantage of the implicit discontinuous Galerkin method to handle the solution of level set and its reinitialization equations. A mass correction technique is also added to ensure the mass conservation property. The dam break-free surface flow is simulated firstly to demonstrate the validity of our mathematical model. In addition, the sloshing Newtonian fluid in the tank with flat and rough bottoms is considered to illustrate the feasibility and robustness of our computational scheme. Finally, the development of free surface for non-Newtonian fluid is also studied in the two tanks, and the influence of power-law index on the sloshing fluid flow is analyzed.

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Conservative and adaptive level-set method for the simulation of two-fluid flows

Cited by 21 publications

References 50 publications

Adaptive Eulerian framework for boiling and evaporation

Adaptive Eulerian framework for boiling and evaporation

On the analytical and numerical simulation of an oscillating drop in zero-gravity

The Finite Element Numerical Investigation of Free Surface Newtonian and Non-Newtonian Fluid Flows in the Rectangular Tanks

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