An overlapped grid technique for high resolution CAA schemes for complex geometries

Delfs, Jan

doi:10.2514/6.2001-2199

Cited by 39 publications

(29 citation statements)

References 11 publications

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“…Such an approach has two main interests. The first one is to benefit of the numerical properties of Cartesian grid for propagation and those of body-fitted mesh for geometrically complex boundary conditions as clearly stated by Delfs [11]. The second one is its flexibility since it renders the use of structured grids for complex geometry much easier [10,9,5].…”

Section: Introductionmentioning

confidence: 99%

On the use of a high order overlapping grid method for coupling in CFD/CAA

Desquesnes

Terracol

Manoha

et al. 2006

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 99%

On the use of a high order overlapping grid method for coupling in CFD/CAA

Desquesnes

Terracol

Manoha

et al. 2006

Journal of Computational Physics

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“…In order to go past this limit, overset-grid techniques are used with high-order interpolation procedure to preserve the high-order spatial accuracy. [11][12][13] This is addressed in the following.…”

Section: Extension To Complex Geometriesmentioning

confidence: 99%

A High-Order Algorithm for Compressible LES in CAA Applications

Daude¹,

Emmert²,

Lafon³

et al. 2008

14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference)

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A high-order finite-difference algorithm is proposed in the aim of LES and CAA applications. The subgrid scale dissipation is performed by the explicit high-order numerical filter used for numerical stability purpose. A shock-capturing non-linear filter is also implemented to deal with compressible discontinuous flows. In order to tackle complex geometries, an overset-grid approach is used. High-order interpolations make it possible to ensure the communication between overlapping domains. The whole algorithm is first validated on canonical flow problems to illustrate both its properties for shock-capturing as well as for accurate wave propagation. Then, the influence of the multi-domain approach on the high-order spatial accuracy is assessed. Afterwards, the algorithm is extended to dynamic mesh applications with overlapping grids. Finally, two industrial cases are presented to highlight the potential of the proposed algorithm.

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“…Chessire and Henshaw [11] have obtained theoretical results for elliptic problems on composite meshes, and show that the interpolation scheme should be at least of the same order as the finite-difference scheme. Delfs et al [32] indicate that a second-order interpolation is not sufficient to propagate acoustic waves from an airfoil grid to a background Cartesian grid. The errors can be reduced by using high-order interpolation in the sense of Taylor's expansion truncation, as illustrated by Sherer and Scott [21].…”

Section: Properties Of An Interpolation Schemementioning

confidence: 99%

Study of interpolation methods for high-accuracy computations on overlapping grids

Chicheportiche

Gloerfelt

2012

Computers & Fluids

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractOverset strategy can be an efficient way to keep high-accuracy discretization by decomposing a complex geometry in topologically simple subdomains.Apart from the grid assembly algorithm, the key point of overset technique lies in the interpolation processes which ensure the communications between the overlapping grids. The family of explicit Lagrange and optimized interpolation schemes is studied. The a priori interpolation error is analyzed in the Fourier space, and combined with the error of the chosen discretization to highlight the modification of the numerical error. When high-accuracy algorithms are used an optimization of the interpolation coefficients can enhance the resolvality, which can be useful when high-frequency waves or small turbulent scales need to be supported by a grid. For general curvilinear grids in more than one space dimension, a mapping in a computational space followed by a tensorization of 1-D interpolations is preferred to a direct evaluation of the coefficient in the physical domain. A high-order extension of the isoparametric mapping is accurate and robust since it avoids the inversion of a matrix which may be ill-conditioned. A posteriori error analyses indicate that the interpolation stencil size must be tailored to the accuracy of the discretization scheme. For well discretized wavelengthes, the resultsshow that the choice of a stencil smaller than the stencil of the corresponding finite-difference scheme can be acceptable. Besides the gain of optimization to capture high-frequency phenomena is also underlined. Adding order contraints to the optimization allows an interesting trade-off when a large range of scales is considered. Finally, the ability of the present overset strategy to preserve accuracy is illustrated by the diffraction of an acoustic source by two cylinders, and the generation of acoustic tones in a rotor-stator interaction.Some recommandations are formulated in the closing section.

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An overlapped grid technique for high resolution CAA schemes for complex geometries

Cited by 39 publications

References 11 publications

On the use of a high order overlapping grid method for coupling in CFD/CAA

On the use of a high order overlapping grid method for coupling in CFD/CAA

A High-Order Algorithm for Compressible LES in CAA Applications

Study of interpolation methods for high-accuracy computations on overlapping grids

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