High-order compact finite-difference methods on general overset grids

Sherer, Scott E.; Scott, James N.

doi:10.1016/j.jcp.2005.04.017

Cited by 238 publications

(123 citation statements)

References 46 publications

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“…Finally, simulation of more complex geometries involving couplings with structure in aeroelasticity, are also of importance and can be tackled by the use of high-quality block structured grids. Several research teams have developed such techniques with the aim of aeroacoustic [42] and aeroelastic applications [49]. Efforts are also now underway to develop unstructured approaches [48] for realistic applications, even if accuracy and robustness seem still difficult and costly to preserve.…”

Section: Work In Progressmentioning

confidence: 99%

Progress in Direct Noise Computation

Bailly¹,

Bogey²,

Marsden³

2010

Noise Notes

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The needs for accurate and efficient numerical solvers in computational aeroacoustics have motivated the development of low-dispersion and low-dissipation schemes as an alternative to more classical methods of applied mathematics for computational fluid mechanics over the last two decades. These numerical methods have now reached maturity, even if progress is still necessary to take account of specific physics. The paper provides a short overview of some recent developments and applications involving the direct computation of aerodynamic noise with applications to subsonic and supersonic jet noise, to cavity noise and to self-excited internal flows.

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Section: Work In Progressmentioning

confidence: 99%

Progress in Direct Noise Computation

Bailly¹,

Bogey²,

Marsden³

2010

Noise Notes

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“…A variety of polynomial interpolation techniques on both solution values and interface fluxes have been developed [30,32,9,29]. A major con-cern has been interpolation procedures that ensure conservation [6,30,9,29] and stability [5,28,29].…”

Section: Major Radiusmentioning

confidence: 99%

High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids

McCorquodale

Dorr

Hittinger

et al. 2015

Journal of Computational Physics

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We present an approach to solving hyperbolic conservation laws by finitevolume methods on mapped multiblock grids, extending the approach of Colella, Dorr, Hittinger, and Martin (2011) for grids with a single mapping. We consider mapped multiblock domains for mappings that are conforming at inter-block boundaries. By using a smooth continuation of the mapping into ghost cells surrounding a block, we reduce the inter-block communication problem to finding an accurate, robust interpolation into these ghost cells from neighboring blocks. We demonstrate fourth-order accuracy for the advection equation for multiblock coordinate systems in two and three dimensions.

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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%

“…Therefore, the communication between overlapping component grids is performed with high-order interpolation. Following Sherer and Scott, 12 high-order explicit non-optimized Lagrangian polynomials are used to perform the interpolation stage. The interpolation process is performed in the computational domain (ξ, η, ζ, τ ) as in Figure 4.…”

Section: B High-order Interpolationmentioning

confidence: 99%

See 1 more Smart Citation

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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High-order compact finite-difference methods on general overset grids

Cited by 238 publications

References 46 publications

Progress in Direct Noise Computation

Progress in Direct Noise Computation

High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids

A High-Order Algorithm for Compressible LES in CAA Applications

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