Direct Numerical Simulation of a Three-Dimensional Natural-Convection Flow in a Differentially Heated Cavity of Aspect Ratio 4

Sòria, M.; Trias, F. X.; Segarra, Carlos David Pérez; Oliva, A.

doi:10.1080/10407780490277888

Cited by 40 publications

(42 citation statements)

References 30 publications

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“…However, for the use of implicit methods in DNS of turbulent ows the computational costs are rather high compared to those of explicit methods. This is because of the underlying restrictions to time step that are required to fully resolve all temporal scales in the NS equations [6,7,15]. Therefore, although the DSFD algorithm can be easily used for an implicit discretization of the linear terms of the momentum and energy equations, we have only considered explicit method in the view of the lower costs.…”

Section: Time-integration Methodsmentioning

confidence: 98%

“…The model described is governed by the dimensionless numbers Pr, Ra z and the cavity aspect ratios: L 3 =L 2 (height aspect ratio) and L 1 =L 2 (depth aspect ratio). More details about this conÿguration can be found in References [6,7].…”

Section: F X Trias Et Almentioning

confidence: 99%

“…More details about the numerical method and discretization are given in Reference [7]. Exact stencil connections and theoretical properties of this family of schemes are further considered in References [14,15,24,25].…”

Section: Discretization Of the Poisson Equationmentioning

confidence: 99%

“…• Wall-bounded turbulent ows and ows with internal obstacles are common in most of the applications [5][6][7]. Therefore, non-uniform meshes are required in order ensure that the grid resolution is su ciently ÿne to resolve the essential turbulent scales near the walls.…”

Section: Introductionmentioning

confidence: 99%

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A direct Schur–Fourier decomposition for the efficient solution of high‐order Poisson equations on loosely coupled parallel computers

Trias¹,

Sòria²,

Segarra³

et al. 2005

Numerical Linear Algebra App

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SUMMARYIn this paper a parallel direct Schur-Fourier decomposition (DSFD) algorithm for the direct solution of arbitrary order discrete Poisson equations on parallel computers is proposed. It is based on a combination of a Direct Schur method and a Fourier decomposition and allows to solve each Poisson equation almost to machine accuracy using only one communication episode. Thus, it is well suited for loosely coupled parallel computers, that have a high network latency compared with the CPU performance. Several three-dimensional direct numerical simulations (DNS) of wall-bounded turbulent incompressible ows have been carried out using the DSFD algorithm. Numerical examples illustrating the robustness and scalability of the method on a PC cluster with a conventional 100 Mbits=s network are also presented.

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Section: Time-integration Methodsmentioning

confidence: 98%

Section: F X Trias Et Almentioning

confidence: 99%

Section: Discretization Of the Poisson Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A direct Schur–Fourier decomposition for the efficient solution of high‐order Poisson equations on loosely coupled parallel computers

Trias¹,

Sòria²,

Segarra³

et al. 2005

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“…In order to be sure that the statistically steady state had been reached, which usually requires around 100-200 time units, statistical values have been obtained for a time interval corresponding to the last %500 time units of simulation. Further details about the averaging procedure can be found in [29].…”

Section: Results For a Turbulent Differentially Heated Cavity Atmentioning

confidence: 99%

Parameter-free symmetry-preserving regularization modeling of a turbulent differentially heated cavity

et al. 2010

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Parameter-free symmetry-preserving regularization modeling of a turbulent differentially heated cavity Trias, F.X.; Verstappen, R.W.C.P.; Gorobets, A.; Soria, M.; Oliva, A. Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Trias, F. X., Verstappen, R. W. C. P., . Parameter-free symmetrypreserving regularization modeling of a turbulent differentially heated cavity. Computers & fluids, 39(10), 1815-1831. DOI: 10.1016/j.compfluid.2010 Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons).Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. a b s t r a c tSince direct numerical simulations of buoyancy driven flows cannot be computed at high Rayleigh numbers, a dynamically less complex mathematical formulation is sought. In the quest for such a formulation, we consider regularizations (smooth approximations) of the non-linearity: the convective term is altered to reduce the production of small scales of motion by means of vortex stretching. In doing so, we propose to preserve the symmetry and conservation properties of the convective terms exactly. This requirement yielded a novel class of regularizations [Comput Fluids 2008;37:887] that restrain the convective production of smaller and smaller scales of motion in an unconditionally stable manner, meaning that the velocity cannot blow up in the energy-norm (in 2D also: enstrophy-norm). The numerical algorithm used to solve the governing equations preserves the symmetry and conservation properties too. In the present work, a criterion to determine dynamically the regularization parameter (local filter length) is proposed: it is based on the requirement that the vortex stretching must stop at the scale set by the grid. Therefore, the proposed method constitutes a parameter-free turbulence model. The resulting regularization method is tested for a 3D natural convection flow in an air-filled (Pr = 0.71) differentially heated cavity of height aspect ratio 4. Direct comparison with DNS results at Rayleigh number 6.4 Â 10 8 6 Ra 6 10 11 shows fairly good agreement even for very coarse grids. Finally, the robustness of the method is tested by performing simulations with Ra up to 10 17. A 2/7 scaling law of Nusselt number has been obtained for the investigated range of Ra.

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Direct Numerical Simulation of Low-Mach Turbulent Natural Convection Flow in an Open Cavity of Aspect Ratio 4

Chiva

Lehmkuhl²,

Ventosa

et al. 2015

Direct and Large-Eddy Simulation IX

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Direct Numerical Simulation of a Three-Dimensional Natural-Convection Flow in a Differentially Heated Cavity of Aspect Ratio 4

Cited by 40 publications

References 30 publications

A direct Schur–Fourier decomposition for the efficient solution of high‐order Poisson equations on loosely coupled parallel computers

A direct Schur–Fourier decomposition for the efficient solution of high‐order Poisson equations on loosely coupled parallel computers

Parameter-free symmetry-preserving regularization modeling of a turbulent differentially heated cavity

Direct Numerical Simulation of Low-Mach Turbulent Natural Convection Flow in an Open Cavity of Aspect Ratio 4

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