Reconstructing Volume Tracking

Rider, William J.; Kothe, Douglas B.

doi:10.1006/jcph.1998.5906

Cited by 1,369 publications

(1,211 citation statements)

References 31 publications

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“…Traditional CFD methods such as the volume-of-fluid (VOF) method [18][19][20][21] and level set (LS) method [22][23][24] simulate multiphase flows by solving the macroscopic Navier-Stokes equations together with a proper technique to track/capture the phase interface. It is challenging to use VOF and LS methods for pore-scale simulations of multiphase flows in porous media because of the difficulties in modelling and tracking the dynamic phase interfaces.…”

Section: Introductionmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which allow to study multiphase and multicomponent flows on a pore scale level. In this article, we give an extensive overview on a number of these diffuse interface models and discuss their advantages and disadvantages. Furthermore, we shortly report on multiphase flows containing solid particles, as well as implementation details and optimization issues.

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Section: Introductionmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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“…This multi-phase flow is modelled with the volume-of-fluid (VOF) technique, which introduces a scalar volume fraction α f throughout the fluid domain to distinguish the liquid from the gas [39,40]. A region is filled with liquid only if the volume fraction is one and with gas only if the volume fraction is zero.…”

Section: Rolling Tankmentioning

confidence: 99%

Multi-solver algorithms for the partitioned simulation of fluid–structure interaction

Degroote

Vierendeels

2011

Computer Methods in Applied Mechanics and Engineering

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In partitioned fluid-structure interaction simulations, the flow equations and the structural equations are solved separately. As a result, a coupling algorithm is needed to enforce the equilibrium on the fluid-structure interface in cases with strong interaction. This coupling algorithm performs coupling iterations between the solver of the flow equations and the solver of the structural equations. Current coupling algorithms couple one flow solver with one structural solver. Here, a new class of multi-solver quasi-Newton coupling algorithms for unsteady fluidstructure interaction simulations is presented. More than one flow solver and more than one structural solver are used for a single simulation. The numerical experiments demonstrate that the duration of a simulation decreases as the number of solvers is increased.

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“…The general projection methods have been employed for the simulation of multi-fluid flows with the level set method [32] and VOF method [36] employed to capture the interface. The dam breaking problem is calculated to validate the method for multi-fluid flows.…”

Section: Multi-fluid Flowsmentioning

confidence: 99%

“…In this paper, a second-order VOF method [36] is used to capture the interface. The general projection method with a non-linear coefficient matrix is used to do the direct simulation of a rising bubble in a stagnant liquid.…”

Section: Multi-fluid Flowsmentioning

confidence: 99%

A bridge between projection methods and SIMPLE type methods for incompressible Navier–Stokes equations

Abdou

2007

Numerical Meth Engineering

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SUMMARYA bridge is built between projection methods and SIMPLE type methods (Semi-Implicit Method for Pressure-Linked Equation). A general second-order accurate projection method is developed for the simulation of incompressible unsteady flows by employing a non-linear update of pressure term aswhere n is a coefficient matrix, which may depend on the grid size, time step and even velocity. It includes three-and four-step projection methods. The standard SIMPLE method is written in a concise formula for steady and unsteady flows. It is proven that SIMPLE type methods have second-order temporal accuracy for unsteady flows. The classical second-order projection method and SIMPLE type methods are united within the framework of the general second-order projection formula. Two iteration algorithms of SIMPLE type methods for unsteady flows are described and discussed. In addition, detailed formulae are provided for general projection methods by using the Runge-Kutta technique to update the convective term and Crank-Nicholson scheme for the diffusion term.

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Reconstructing Volume Tracking

Cited by 1,369 publications

References 31 publications

Multiphase lattice Boltzmann simulations for porous media applications

Multiphase lattice Boltzmann simulations for porous media applications

Multi-solver algorithms for the partitioned simulation of fluid–structure interaction

A bridge between projection methods and SIMPLE type methods for incompressible Navier–Stokes equations

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