A compressible Lagrangian framework for the simulation of the underwater implosion of large air bubbles

Kamran, K.; Rossi, Riccardo; Oñate, Eugenio; Idelsohn, Sergio

doi:10.1016/j.cma.2012.11.018

Cited by 21 publications

(16 citation statements)

References 38 publications

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“…This allows for a precise representation of the interfacial discontinuities. In order to represent the variable discontinuities at the interface nodes, degrees of freedom are typically duplicated [19].…”

Section: Introductionmentioning

confidence: 99%

An implicit surface tension model for the analysis of droplet dynamics

Jarauta

Ryzhakov

Pons‐Prats

et al. 2018

Journal of Computational Physics

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A Lagrangian incompressible fluid flow model is extended by including an implicit surface tension term in order to analyze droplet dynamics. The Lagrangian framework is adopted to model the fluid and track its boundary, and the implicit surface tension term is used to introduce the appropriate forces at the domain boundary. The introduction of the tangent matrix corresponding to the surface tension force term ensures enhanced stability of the derived model. Static, dynamic and sessile droplet examples are simulated to validate the model and evaluate its performance. Numerical results are capable of reproducing the pressure distribution in droplets, and the advancing and receding contact angles evolution for droplets in varying substrates and inclined planes. The model is stable even at time steps up to 20 times larger than previously reported in literature and achieves first and second order convergence in time and space, respectively. The present implicit surface tension implementation is applicable to any model where the interface is represented by a moving boundary mesh.

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Section: Introductionmentioning

confidence: 99%

An implicit surface tension model for the analysis of droplet dynamics

Jarauta

Ryzhakov

Pons‐Prats

et al. 2018

Journal of Computational Physics

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“…However, steady-state solutions using PFEM for both sub-domains usually exhibit spurious velocities at the interface due to large pressure gradients [28]. Kamran et al [23] proposed a degree of freedom duplication to address this issue. An additional disadvantage of a purely PFEM-based approach for droplet-air systems is that it would require re-meshing the entire domain (i.e., both the droplet and the air) at each time step, which may be computationally tedious.…”

Section: The Particle Finite Element Methods (Pfem) Particle Finitementioning

confidence: 99%

On the application of the PFEM to droplet dynamics modeling in fuel cells

et al. 2016

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The Particle Finite Element Method (PFEM) is used to develop a model to study two-phase flow in fuel cell gas channels. First, the PFEM is used to develop the model of free and sessile droplets. The droplet model is then coupled to an Eulerian, fixed-grid, model for the airflow. The resulting coupled PFEM-Eulerian algorithm is used to study droplet oscillations in an air flow and droplet growth in a lowtemperature fuel cell gas channel. Numerical results show good agreement with predicted frequencies of oscillation, contact angle, and deformation of injected droplets in gas channels. The PFEM-based approach provides a novel strategy to study droplet dynamics in fuel cells.

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“…From mass conservation equation (25), derives that, velocity mass matrix can be written in the reference configuration as:…”

Section: Mass Conservationmentioning

confidence: 99%

“…[12,13] introduce a high-order curvilinear finite element approach to solve the Euler equations in a Lagrangian moving frame. [25,24] propose a Lagrangian finite element approach based on the Particle Finite Element Method (PFEM) to simulate underwater implosion of large air bubbles. In these works, an adaptive mesh generation based on the constrained Delaunay triangulation has been used to capture large distortions of the interface that appear in multi-fluid flows.…”

mentioning

confidence: 99%

An explicit Lagrangian finite element method for free-surface weakly compressible flows

et al. 2016

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In the present work, an explicit finite element approach to the solution of the Lagrangian formulation of the Navier-Stokes equations for weakly compressible fluids or fluid-like materials is investigated. The introduction of a small amount of compressibility is shown to allow for the formulation of a fast and robust explicit solver based on a particle finite element method. Newtonian and Non-Newtonian Bingham laws are considered. A barotropic equation of state completes the model relating pressure and density fields. The approach has been validated through comparison with experimental tests and numerical simulations of free surface fluid problems involving water and waterâ\u80\u93soil mixtures

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A compressible Lagrangian framework for the simulation of the underwater implosion of large air bubbles

Cited by 21 publications

References 38 publications

An implicit surface tension model for the analysis of droplet dynamics

An implicit surface tension model for the analysis of droplet dynamics

On the application of the PFEM to droplet dynamics modeling in fuel cells

An explicit Lagrangian finite element method for free-surface weakly compressible flows

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