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Journal ArticleDOI

An enriched finite element/level-set method for simulating two-phase incompressible fluid flows with surface tension

TLDR
In this article, a finite element method is introduced to simulate surface tension dominated flow of two immiscible fluids featuring an enriched space for capturing both strong and weak pressure discontinuities.
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2020-10-01. It has received 18 citations till now. The article focuses on the topics: Finite element method & Stiffness matrix.

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Citations
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AMGCL – A C++ library for efficient solution of large sparse linear systems

TL;DR: AMGCL provides an efficient, flexible, and extensible implementation of several iterative solvers and preconditioners on top of different backends allowing the acceleration of the solution with the help of OpenMP, OpenCL, or CUDA technologies.
Journal ArticleDOI

Determination of the Operational Parameters for the Manufacturing of Spherical PVP Particles via Electrospray.

TL;DR: In this article, the optimal operating parameters for the fabrication of well-shaped polyvinylpyrrolidone (PVP) particles via electrohydrodynamic atomization were determined by bridging experimental and numerical approaches.
Journal ArticleDOI

Modeling and evaluation of freeform extruded filament based on numerical simulation method for direct ink writing

TL;DR: In this paper , a simulation model of free-form extruded filaments (FEF) with volume of fluid (VOF) method and then evaluated the FEF based on the simulation results were established.
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Three dimensional modeling of liquid droplet spreading on solid surface: an enriched finite element/level-set approach

TL;DR: In this paper, a physically consistent approach is introduced to simulate dynamics of droplets in contact with solid substrates by introducing the molecular-kinetic model within the framework of the level set/enriched finite element method and including the theoretically resolved sub-elemental hydrodynamics.
References
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Journal ArticleDOI

Volume of fluid (VOF) method for the dynamics of free boundaries

TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
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A continuum method for modeling surface tension

TL;DR: In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
Journal ArticleDOI

A level set approach for computing solutions to incompressible two-phase flow

TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.

A level set approach for computing solutions to incompressible two- phase flow II

TL;DR: In this article, a level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
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The variational multiscale method—a paradigm for computational mechanics

TL;DR: In this article, a general treatment of the variational multiscale method in the context of an abstract Dirichlet problem is presented, showing how the exact theory represents a paradigm for subgrid-scale models and a posteriori error estimation.
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