A conservative sharp interface method for incompressible multiphase flows

Luo, Jiao; Hu, Xiangyu; Adams, Nikolaus A.

doi:10.1016/j.jcp.2014.12.044

Cited by 49 publications

(33 citation statements)

References 56 publications

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“…6.2), one might however require an accurate evaluation of the curvature at the exact location of the interface. Provided a grid-converging cell-center curvature, the actual curvature at the interface can be interpolated from its neighboring cells weighted by the level set [55,56]. Here we present a slightly different but robust algorithm to estimate the interface curvature, with a straight-forward geometrical interpretation.…”

Section: Interface Curvaturementioning

confidence: 99%

An efficient mass-preserving interface-correction level set/ghost fluid method for droplet suspensions under depletion forces

Loiseau

Tammisola

et al. 2018

Journal of Computational Physics

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Aiming for the simulation of colloidal droplets in microfluidic devices, we present here a numerical method for two-fluid systems subject to surface tension and depletion forces among the suspended droplets. The algorithm is based on an efficient solver for the incompressible two-phase Navier-Stokes equations, and uses a mass-conserving level set method to capture the fluid interface. The four novel ingredients proposed here are, firstly, an interface-correction level set (ICLS) method; global mass conservation is achieved by performing an additional advection near the interface, with a correction velocity obtained by locally solving an algebraic equation, which is easy to implement in both 2D and 3D. Secondly, we report a second-order accurate geometric estimation of the curvature at the interface and, thirdly, the combination of the ghost fluid method with the fast pressurecorrection approach enabling an accurate and fast computation even for large density contrasts. Finally, we derive a hydrodynamic model for the interaction forces induced by depletion of surfactant micelles and combine it with a multiple level set approach to study short-range interactions among droplets in the presence of attracting forces.

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Section: Interface Curvaturementioning

confidence: 99%

An efficient mass-preserving interface-correction level set/ghost fluid method for droplet suspensions under depletion forces

Loiseau

Tammisola

et al. 2018

Journal of Computational Physics

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“…However, the effect of contact angle is more considerable in the recoiling and rebounding stages. Luo et al (2015) developed a conservative sharp interface approach based on the weakly compressible model for the simulation of incompressible multiphase flows. A curvature boundary condition was imposed for modeling droplet impact on a surface (Luo et al, 2016).…”

Section: Fig 1 Contact Angle Between Droplet and Surfacementioning

confidence: 99%

Study of Droplet Impact on a Wall using a Sharp Interface Method and Different Contact Line Models

Emdadi

Pournaderi

2019

JAFM

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In this research, droplet impact on a surface is simulated by using a sharp method for interface modeling. The level-set method along with the ghost fluid method is used to model interface in a sharp fashion. Different contact line models are compared and evaluated at both low and high impact velocities. On a hydrophobic surface, dynamic models developed by Hoffman and Jiang represent a more accurate prediction of droplet behavior during the impact process than the static and molecular kinetic dynamic models, especially at rebounding stage. At lower impact velocities, the Hoffman's model represents better predictions. However, at higher impact velocities, the Jiang's model is somewhat more accurate. The molecular dynamic model is not appropriate for high impact velocities. On a hydrophilic surface, at low impact velocities, the Jiang's model represents satisfactory results, whereas the static and the Hoffman's models cannot produce accurate results, after initial stages of the impact process. At high impact velocities, the static model shows considerable deviation from the experimental results. The effect of the contact angle on the dynamic behavior of the droplet is investigated. At contact angles lower than 90 0 , the droplet only spreads on the surface after impact. However, at contact angles higher than 90 0 , the droplet starts to recoil after spreading. In this case, it is possible that droplet rebounds from surface after recoiling. Maximum spreading radius of the droplet decreases by an increase in contact angle. At higher contact angles, less time is needed for the droplet to rebound from surface.

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“…The curvature κ is calculated following Ref. [23]. δ is the Dirac δ function centered at the respective material interface, and n is the interface normal direction.…”

Section: Physical Modelmentioning

confidence: 99%

“…As the materials are treated as Newtonian fluids, τ = −2/3μ • u I + μ( u + u T ), where I is the unit tensor. The effect of surface-tension force σ κδn and its work σ κδu • n are considered by a balanced-force formulation [23] within the Riemann problem at the interface; see Sec. IV D for details.…”

Section: Physical Modelmentioning

confidence: 99%

See 1 more Smart Citation

Phenomenology of bubble-collapse-driven penetration of biomaterial-surrogate liquid-liquid interfaces

Pan

Adami

et al. 2018

Phys. Rev. Fluids

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The paper presents phenomenology of interaction and penetration of liquid-liquid material interfaces initiated by shock-driven collapse of single and multiple microbubbles situated near the material interface. Previous experimental studies have established such a generic setting as relevant for the investigation of sonoporation, i.e., the perforation of live cells by microbubble collapses. We consider a planar or spherical, single-or dual-layer, material interface between a gelatin material and water. A single or several ideal-gas microbubbles are positioned near the interface. Bubble collapse is initiated by a shock wave with a pressure profile specific to laser generation and is flat when hitting the gas-water interface. The interfacial acoustic impedance match singles out the collapseinduced re-entrant jet as main event. High-resolution sharp-interface numerical methods are employed to ensure that wave dynamics, hydrodynamics, and interface transporting are accurately resolved. Bubble configurations are varied between single and double and between attached and with standoff distance. Parameters varied are shock-wave peak pressure and viscosity ratio between single and double layers of gelatin and the surrounding water. For inertia-dominated cases, two regimes are observed, the first characterized by linear growth of the penetration depth and the second by a t 2/3 scaling. The latter range is affected by viscosity which reduces penetration speed. The results show that process parameters, in particular shock overpressure, control not only penetration depth but also the size of the interface perforation, indicating means to steer processes in biomedical applications.

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A conservative sharp interface method for incompressible multiphase flows

Cited by 49 publications

References 56 publications

An efficient mass-preserving interface-correction level set/ghost fluid method for droplet suspensions under depletion forces

An efficient mass-preserving interface-correction level set/ghost fluid method for droplet suspensions under depletion forces

Study of Droplet Impact on a Wall using a Sharp Interface Method and Different Contact Line Models

Phenomenology of bubble-collapse-driven penetration of biomaterial-surrogate liquid-liquid interfaces

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