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

Desquesnes, G.; Terracol, Marc; Manoha, Eric; Sagaut, Pierre

doi:10.1016/j.jcp.2006.05.019

Cited by 54 publications

(41 citation statements)

References 33 publications

(51 reference statements)

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“…The use of overlapping regions can generate spurious acoustic waves as it has been observed by Desquesnes et al 13 In the present paper, the influence of the polynomial order on the accuracy of the optimized finitedifference scheme and on the generation of spurious acoustic waves is characterized. Two numerical test cases are retained: the convection of an inviscid vortex through overset regions and the diffraction of a monopolar acoustic source by a cylinder.…”

Section: B Multi-domain Approachsupporting

confidence: 52%

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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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Section: B Multi-domain Approachsupporting

confidence: 52%

“…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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show abstract

“…[ 22], consists in defining a polynomial approximation P H of the inverse mapping H, such that H(x, y) = (ξ, η). The location of the interpolation point in the computational space is then directly determined by evaluating the polynomial P H at (x 0 , y 0 ).…”

Section: Two-dimensional Interpolationsmentioning

confidence: 99%

“…Yin et Delfs [19] has proposed a first extension of the overset technique with Dispersion Relation Preserving (DRP) schemes [20]. Sherer and Scott [21] have developped the method for compact schemes, and Desquesnes et al [22] have applied it to a CFD/CAA coupling. Emmert et al [23,24] used the Overture libraries to perform overset simulations with eleven-point stencil finite-difference DRP schemes.…”

Section: Introductionmentioning

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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“…Nevertheless, those difficulties can be overcome by the use of overlapping grid methods, also referred to as chimera methods [2] or multidomain methods [21]. These techniques have aroused a certain interest over the last twenty years [12,13,28,32] and recent simulations have shown that it is possible to compute acoustic phenomena on multidomains with high fidelity. Thus, Marsden, Bogey, and Bailly [22] used a chimera method to simulate the diffraction of sound by two cylinders of different diameters in a low Mach number flow.…”

mentioning

confidence: 99%

Development of Noncentered Wavenumber-Based Optimized Interpolation Schemes with Amplification Control for Overlapping Grids

Desvigne¹,

Marsden²,

Bogey³

et al. 2010

SIAM J. Sci. Comput.

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Abstract.A noncentered interpolation technique has been constructed to perform simulations using overlapping grids for complex geometries. High-order centered Lagrange polynomial interpolations and interpolations optimized in the Fourier space are first generalized to the noncentered case. These noncentered interpolations either generate significant dispersion errors or strongly amplify high-wavenumber components. Accordingly, a noncentered high-order wavenumber-based optimized interpolation method is developed with the addition of a nonlinear constraint for the control of the amplitude amplification induced by decentering. High-order piecewise polynomial regressions of the obtained interpolation coefficients are performed. The time stability of the method is investigated in the 1-D case when the interpolation method is used in conjunction with explicit high-order differencing, filtering schemes, as well as a 6-step Runge-Kutta time integration algorithm. A criterion is formulated to predict its stability as a function of the filtering strength and the Courant-FriedrichsLewy constant. Finally, 1-D convection simulations are presented to illustrate the stability and the accuracy of the developed noncentered interpolations.

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

Cited by 54 publications

References 33 publications

A High-Order Algorithm for Compressible LES in CAA Applications

A High-Order Algorithm for Compressible LES in CAA Applications

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

Development of Noncentered Wavenumber-Based Optimized Interpolation Schemes with Amplification Control for Overlapping Grids

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