Numerical Methods for High-Speed Flows

Pirozzoli, Sergio

doi:10.1146/annurev-fluid-122109-160718

Cited by 399 publications

(221 citation statements)

References 137 publications

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“…The flow solver relies on central sixth-order discretization of the convective terms of the Navier-Stokes equations cast in fully split form (Pirozzoli 2011), which guarantees discrete conservation of the total kinetic energy in the limit case of inviscid, incompressible flow, also in the presence of grid stretching in the coordinate directions. This approach allows robust spatial discretization of the convective terms without the addition of any spurious numerical dissipation in the form of upwinding or filtering.…”

Section: Computational Setupmentioning

confidence: 99%

Early evolution of the compressible mixing layer issued from two turbulent streams

Pirozzoli

Bernardini²,

Marié³

et al. 2015

J. Fluid Mech.

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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. Direct numerical simulation of the spatially developing mixing layer issuing from two turbulent streams past a splitter plate is carried out under mild compressibility conditions. The study mainly focuses on the early evolution of the mixing region, where transition occurs from a wake-like to a canonical mixing-layer-like behaviour, corresponding to the filling-up of the initial momentum deficit. The mixing layer is found to initially grow faster than linearly, and then at a sub-linear rate further downstream. The Reynolds stress components are in close agreement with reference experiments and follow a continued slow decay till the end of the computational domain. These observations are suggestive of the occurrence of incomplete similarity in the developing turbulent mixing layer. Coherent eddies are found to form in the close proximity of the splitter plate trailing edge, that are mainly organized in bands, initially skewed and then parallel to the spanwise direction. Dynamic mode decomposition is used to educe the dynamically relevant features, and it is found to be capable of singling out the coherent eddies responsible for mixing layer development.

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Section: Computational Setupmentioning

confidence: 99%

Early evolution of the compressible mixing layer issued from two turbulent streams

Pirozzoli

Bernardini²,

Marié³

et al. 2015

J. Fluid Mech.

Self Cite

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“…Especially, some low dissipative WENO type schemes have been proposed, such as compact-WENO [11,12], WENO-Z [13], WENO-SYMBO [14], TWENO [15], which have been successfully used for multi-scales capture. As Pirozzoli [16] reviewed and suggested that the hybridization of a high-order compact scheme with the WENO scheme is good choice for the DNS and larger eddy simulation (LES) of turbulent compressible flows. Moreover, it is still an arduous work to enhance the robust or stability of such low dissipative and high resolutive methods, especially for the case of flow with high Mach number or high Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

Direct Numerical Simulation on Mach Number and Wall Temperature Effects in the Turbulent Flows of Flat-Plate Boundary Layer

Liang

2014

Commun. Comput. Phys.

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Abstract. In this paper, direct numerical simulation (DNS) is presented for spatially evolving turbulent boundary layer over an isothermal flat-plate at Ma ∞ = 2.25,5,6,8. When Ma ∞ = 8, two cases with the ratio of wall-to-reference temperature T w /T ∞ = 1.9 and 10.03 are considered respectively. The wall temperature approaches recovery temperatures for other cases. The characteristics of compressible turbulent boundary layer (CTBL) affected by freestream Mach number and wall temperature are investigated. It focuses on assessing compressibility effects and the validity of Morkovin's hypothesis through computing and analyzing the mean velocity profile, turbulent intensity, the strong Reynolds analogy (SRA) and possibility density function of dilatation term. The results show that, when the wall temperature approaches recovery temperature, the effects of Mach number on compressibility is insignificant. As a result, the compressibility effect is very weak and the Morkovin's hypothesis is still valid for Mach number even up to 8. However, when Mach number equal to 8, the wall temperature effect on the compressibility is sensitive. In this case, when T w /T ∞ = 1.9, the Morkovin's hypothesis is not fully valid. The validity of classical SRA depends on wall temperature directly. A new modified SRA is proposed to eliminate such negative factor in near wall region. Finally the effects of Mach number and wall temperature on streaks are also studied.

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“…However, unless otherwise noted, all central difference results reported in this paper use the Kennedy and Gruber flux in Eq. (14). The flux values for G i,j+ 1 2 ,k and H i,j,k+ 1 2 , formed at the half-nodes in the j-and k-direction respectively, are formed in the same way.…”

Section: Methodsmentioning

confidence: 99%

Studies of Inviscid Flux Schemes for Acoustics and Turbulence Problems

Morris

2013

51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

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The last two decades have witnessed tremendous growth in computational power, the development of computational fluid dynamics (CFD) codes which scale well over thousands of processors, and the refinement of unstructured grid-generation tools which facilitate rapid surface and volume gridding of complex geometries. Thus, engineering calculations of 10 7 -10 8 finite-volume cells have become routine for some types of problems. Although the Reynolds Averaged Navier Stokes (RANS) approach to modeling turbulence is still in extensive and wide use, increasingly large-eddy simulation (LES) and hybrid RANS-LES approaches are being applied to resolve the largest scales of turbulence in many engineering problems. However, it has also become evident that LES places different requirements on the numerical approaches for both the spatial and temporal discretization of the Navier Stokes equations than does RANS. In particular, LES requires high time accuracy and minimal intrinsic numerical dispersion and dissipation over a wide spectral range. In this paper, the performance of both central-difference and upwind-biased spatial discretizations is examined for a one-dimensional acoustic standing wave problem, the Taylor-Green vortex problem, and the turbulent channel flow problem.

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Numerical Methods for High-Speed Flows

Cited by 399 publications

References 137 publications

Early evolution of the compressible mixing layer issued from two turbulent streams

Early evolution of the compressible mixing layer issued from two turbulent streams

Direct Numerical Simulation on Mach Number and Wall Temperature Effects in the Turbulent Flows of Flat-Plate Boundary Layer

Studies of Inviscid Flux Schemes for Acoustics and Turbulence Problems

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