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An adaptative augmented Lagrangian method for three-dimensional multimaterial flows

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TLDR
In this paper, an adaptative augmented Lagrangian method is proposed to solve the predictor solution, satisfying at the same time the conservation equations as well as the incompressibility constraint.
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This article is published in Computers & Fluids.The article was published on 2004-12-01. It has received 100 citations till now. The article focuses on the topics: Augmented Lagrangian method & Projection method.

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Three-dimensional Large Eddy Simulation of air entrainment under plunging breaking waves

TL;DR: In this article, the authors presented and discussed the results obtained from simulating three-dimensional plunging breaking waves by solving the Navier-Stokes equations, in air and water, coupled with a dynamic subgrid scale turbulence model (Large Eddy Simulation, LES).
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Towards large eddy simulation of isothermal two-phase flows: Governing equations and a priori tests

TL;DR: The potential of application of LES in the calculation of turbulent two-phase flows, in the case where each phase is resolved and interfaces remain much larger than the mesh size, is reported on.
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Numerical simulation of phase separation and a priori two-phase LES filtering

TL;DR: In this paper, the authors report on the potential application of LES in the calculation of turbulent isothermal two-phase flows, in the case where the large scales of each phase are resolved and small interface structures can be smaller than the mesh size.
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Numerical Analysis of a Finite Element/Volume Penalty Method

TL;DR: The ability provided by this approach to use Cartesian, non boundary-fitted meshes to solve elliptic problems in complicated domain is especially interested in.
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A Lagrangian VOF tensorial penalty method for the DNS of resolved particle-laden flows

TL;DR: The direct numerical simulation of particle flows is investigated by a Lagrangian VOF approach and penalty methods of second order convergence in space for incompressible flows interacting with resolved particles on a fixed structured grid with success.
References
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Book

Numerical heat transfer and fluid flow

TL;DR: In this article, the authors focus on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms.
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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.
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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface

TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
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Numerical solution of the Navier-Stokes equations

TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
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