A finite volume formulation for compact scheme with applications to LES

Smirnov, Sergey; Lacor, Christian; Baelmans, Martine

doi:10.2514/6.2001-2546

Cited by 13 publications

(24 citation statements)

References 3 publications

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“…Another favorable property of staggered grids is that the pressure-velocity coupling is inherently enforced [17]. Pereira et al [18] and Smirnov et al [19] used a collocated grid arrangement; the pressure-velocity coupling was enforced by allowing for odd number of control volumes along each coordinate direction. Even though the effectiveness of this method of avoiding pressure-velocity decoupling can be analytically proved only for uniform grids and periodic or Dirichlet boundary conditions [18], the results of several simulations performed by Pereira et al [18] and Smirnov et al [19] do not show any unphysical oscillation, which could be attributed to pressure-velocity decoupling.…”

Section: Introductionmentioning

confidence: 99%

“…Pereira et al [18] and Smirnov et al [19] used a collocated grid arrangement; the pressure-velocity coupling was enforced by allowing for odd number of control volumes along each coordinate direction. Even though the effectiveness of this method of avoiding pressure-velocity decoupling can be analytically proved only for uniform grids and periodic or Dirichlet boundary conditions [18], the results of several simulations performed by Pereira et al [18] and Smirnov et al [19] do not show any unphysical oscillation, which could be attributed to pressure-velocity decoupling. A further attractive property of finite-volume and finite-difference schemes on staggered grids is that no extrapolation is needed, near boundaries where the velocity field is imposed, in order to represent the pressure gradient term in the momentum equations [17].…”

Section: Introductionmentioning

confidence: 99%

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Finite-volume compact schemes on staggered grids

Piller

Stalio

2004

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite-volume compact schemes on staggered grids

Piller

Stalio

2004

Journal of Computational Physics

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“…Obviously, the presented numerical schemes have to be checked in different simulation environments, such as channel flows, jets or mixing layers, and next to DNS, comparison with higher Reynolds number experimental data is appropriate. In this context, some results and generalizations can be found in References [27,28,35]. However, the type of detailed error analysis which can be performed in homogeneous isotropic turbulence, makes this a unique case for the testing of basic discretization principles.…”

Section: Discussionmentioning

confidence: 99%

“…More details on the implementation of compact schemes in a finite-volume context can, e.g. be found in [27,28].…”

Section: Differentiation and Filter Schemesmentioning

confidence: 99%

On the use of high‐order finite‐difference discretization for LES with double decomposition of the subgrid‐scale stresses

Meyers

Lacor

Baelmans

2007

Numerical Methods in Fluids

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SUMMARYLarge eddy simulation (LES) with additional filtering of the non-linear term, also coined LES with double decomposition of the subgrid-scale stress, is considered. In the literature, this approach is mainly encountered in combination with pseudo-spectral discretization methods. In this case, the additional filter is a sharp cut-off filter, which appears in the eventual computational algorithm as the 2/3-dealiasing procedure. In the present paper, the LES approach with additional filtering of the non-linear term is evaluated in a spatial, finite-difference discretization approach. The sharp cut-off filter used in pseudospectral methods is then replaced by a 'spectral-like' filter, which is formulated and discretized in physical space. As suggested in the literature, the filter width of this spectral-like filter corresponds at least to 3/2 times the grid spacing h to avoid aliasing. Furthermore, spectral-like discretization of the derivatives are constructed such that derivative-discretization errors are low in the wavenumber range resolved by the filter, i.e. 0 kh 2 /3. The resulting method in combination with a Smagorinsky model is tested for decaying homogeneous isotropic turbulence and compared to standard lower-order discretization methods. Further, an analysis is elaborated of the Galilean-invariance problem, which arises when LES in double decomposition approach is combined with filters, which do not correspond to an orthogonal projection. The effects of a Galilean coordinate transformation on LES results, are identified in simulations, and we demonstrate that a Galilean transformation leads to wavenumber-dependent shifts of the energy spectra.

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“…The results are also compared with the DNS data of Kim et al [12], the discrepancy between the LES and DNS results is due to the use of a second-order scheme used for the spatial discretization on a relatively coarse mesh. By using higher order methods more accurate results can be obtained, [10].…”

Section: Relation Between the Time Integration And The Physical Time mentioning

confidence: 99%

Efficient Large-eddy Simulations of Low Mach Number Flows Using Preconditioning and Multigrid

Lessani¹,

Ramboer²,

Lacor³

2004

International Journal of Computational Fluid Dynamics

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In the present paper an implicit time accurate approach combined with multigrid and preconditioning is used for the large-eddy simulation of low Mach number flows. It will be shown that the present approach allows an efficiency gain of a factor 4 to 7 compared to the use of a purely explicit approach. The efficiency varies according to the test case, grid clustering, physical time stop and requested residual drop.

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A finite volume formulation for compact scheme with applications to LES

Cited by 13 publications

References 3 publications

Finite-volume compact schemes on staggered grids

Finite-volume compact schemes on staggered grids

On the use of high‐order finite‐difference discretization for LES with double decomposition of the subgrid‐scale stresses

Efficient Large-eddy Simulations of Low Mach Number Flows Using Preconditioning and Multigrid

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