Deflated preconditioned conjugate gradient solvers for the Pressure–Poisson equation

Aubry, Romain; Mut, Fernando; Löhner, Rainald; Cebral, Juan R.

doi:10.1016/j.jcp.2008.08.025

Cited by 45 publications

(40 citation statements)

References 41 publications

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“…Regarding future lines, we are presently testing the deflated CG method [39,40] together with a linelet preconditioner [41]. The preliminary speedup results for this solver are very encouraging.…”

Section: Discussionmentioning

confidence: 98%

A massively parallel fractional step solver for incompressible flows

Houzeaux

Vázquez

Aubry

et al. 2009

Journal of Computational Physics

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Section: Discussionmentioning

confidence: 98%

A massively parallel fractional step solver for incompressible flows

Houzeaux

Vázquez

Aubry

et al. 2009

Journal of Computational Physics

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“…Several separation techniques are known to achieve this level of purity. Among others, let us mention some common techniques with advantages and drawbacks summed up in [1]. Electrostatic separation; techniques based on the fact that PP and PE have different of melting points; *Address correspondence to this author at the Computer Applications in Science and Engineering Department, Barcelona Supercomputing Center (BSC-CNS), Edificio NEXUS I, Campus Nord UPC Gran Capit´an 2-4, 08034 Barcelona, Spain; Tel: + 34 93 405 42 88; Fax: +34 93 413 77 21; E-mail: guillaume.houzeaux@bsc.es techniques based on near infra red spectroscopy; a sink-float process can give an effective separation with both high grade and recovery if the difference in densities between the materials is large enough.…”

Section: Density Separation Applied To Plasticsmentioning

confidence: 99%

“…Note that the non-linearity comes from different terms: 1 , a and the projection adv which includes 1 and a. In practice, the subgrid scale (which is discontinuous) is computed at any Gauss point in any element.…”

Section: Subgrid Scale Modelingmentioning

confidence: 99%

Simulation of Magnetic Fluid Applied to Plastic Sorting

Houzeaux¹,

Samaniego²,

Calmet³

et al. 2010

TOWMJ

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Abstract:The efficient large-scale recycling of plastic waste is of increasing interest from an ecological and economic point of view but it represents a goal that has yet to be achieved by the recycling industry. European project W2Plastics (FP7) aims at a fundamental change of the present status of plastics recycling by applying the Magnetic Density Separation (MDS) technology as well as the Ultrasound Imaging Technology to develop a separation device for the recycling of polyolefin's from complex wastes, i.e., wastes such as Waste from Electric and Electronic Equipment (WEEE), household waste and Automotive Shredder Residue (ASR).The sorting of plastics in W2Plastics is based on the use of a magfluid, magnetized water, to stratify the different plastics according to their densities and to collect them at different depths in an efficient way. One component of this project consists in simulating the particle paths into the water flow inside the separation device in order to understand the separation mechanisms and to optimize its configuration.The separation device is divided into three sections. The plastic particles enter the device with a strong turbulent mixing, necessary for an initial good separation between particles. The first section is the laminator section that tries to make the flow laminar in the shortest distance as possible. The second section is the separator section in which the particles are separated according to their densities, under the magnetic field. These particles are flowing to the last section, the collector section where each kind of plastics should flow at a different heights.From the numerical point of view, there are three main challenges. First, the Navier-Stokes solver should be robust and fast enough. This is accomplished using parallelized schemes together with efficient algebraic solvers, running on thousands of processors. The second challenge is the plastic particles tracking and their interactions with the flow. This will be carried out using a fixed grid method in order to avoid remeshing at each time step. Finally, the turbulent flow will be captured using a Variational Multiscale Method method, and the inlet turbulence will be treated using a synthetic turbulence generation.

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“…These piecewise constant approximations are associated to the low frequencies eigenmodes of the solution, which are also the slow convergence modes [54,55]. Then, these slow modes can be quickly approximated by solving a smaller linear system of equations that can be incorporated to the traditional preconditioned iterative solvers in order to accelerate the convergence of the solution.…”

Section: Solver Deflation 821 Solver Deflation: Introductionmentioning

confidence: 99%

“…Several techniques have been developed for this purpose [54,55]. Some authors have proposed a technique based on using seed-points to start building the sub-domains, and sub-domains are created by associating nodes to their closer seeds [54].…”

Section: Solver Deflation 821 Solver Deflation: Introductionmentioning

confidence: 99%

A time-domain finite element method for seakeeping and wave resistance problems

Camas¹

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Deflated preconditioned conjugate gradient solvers for the Pressure–Poisson equation

Cited by 45 publications

References 41 publications

A massively parallel fractional step solver for incompressible flows

A massively parallel fractional step solver for incompressible flows

Simulation of Magnetic Fluid Applied to Plastic Sorting

A time-domain finite element method for seakeeping and wave resistance problems

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