Synthetic Freestream Disturbance for the Numerical Reproduction of Experimental Zero-Pressure-Gradient Bypass Transition Test Cases

Pinto, Brijesh; Lodato, Guido

doi:10.1007/s10494-018-0004-6

Cited by 15 publications

(3 citation statements)

References 36 publications

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“…Using the Klein et al. (2003) digital filter technique, generalised and validated to the present numerical set-up (Pinto & Lodato 2019; Lodato, Tonicello & Pinto 2021), the mean profiles, to which perturbations are superposed, have been evaluated using closed-form relations involving van Driest transformed velocity as described by Touber (2010). Given the correlation tensor of the fluid velocity and typical length scales of the desired turbulence field, realistic velocity fluctuations are prescribed at the inlet boundaries, far enough from the flow zone of interest.…”

Section: Compression/expansion Ramp Simulationmentioning

confidence: 99%

Turbulence kinetic energy transfers in direct numerical simulation of shock-wave–turbulence interaction in a compression/expansion ramp

Tonicello

Lodato

2022

J. Fluid Mech.

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A direct numerical simulation is performed for a supersonic turbulent boundary layer interacting with a compression/expansion ramp at an angle $\alpha =24^{\circ }$ , matching the same operating conditions of the direct numerical simulation by Priebe & Martín (J. Fluid Mech., vol. 699, 2012, pp. 1–49). The adopted numerical method relies on the high-order spectral difference scheme coupled with a bulk-based, low-dissipative, artificial viscosity for shock-capturing purposes (Tonicello et al., Comput. Fluids, vol. 197, 2020, 104357). Filtered and averaged fields are evaluated to study total kinetic energy transfers in the presence of non-negligible compressibility effects. The compression motions are shown to promote forward transfer of kinetic energy down the energy cascade, whereas expansion regions are more likely to experience backscatter of kinetic energy. A standard decomposition of the subgrid scale tensor in deviatoric and spherical parts is proposed to study the compressible and incompressible contributions in the total kinetic energy transfers across scales. On average, the correlation between subgrid scale dissipation and large-scale dilatation is shown to be caused entirely by the spherical part of the Reynolds stresses (i.e. the turbulent kinetic energy). On the other hand, subtracting the spherical contribution, a mild correlation is still noticeable in the filtered fields. For compressible flows, it seems reasonable to assume that the eddy-viscosity approximation can be a suitable model for the deviatoric part of the subgrid scale tensor, which is exclusively causing forward kinetic energy cascade on average. Instead, more complex models are likely to be needed for the spherical part, which, even in statistical average, provides an important mechanism for backscatter.

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Section: Compression/expansion Ramp Simulationmentioning

confidence: 99%

Turbulence kinetic energy transfers in direct numerical simulation of shock-wave–turbulence interaction in a compression/expansion ramp

Tonicello

Lodato

2022

J. Fluid Mech.

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“…It gives a scheme order of p + 1. The SD method is becoming quite mature with simulations of wall bounded-turbulent flows 2016), bypass transition (Pinto and Lodato 2019;Lodato et al 2021); shocks and detonations (Gupta et al 2018;Lodato 2019;Tofailli et al 2021) and with moving meshes (Yu et al 2011;Zhang et al 2016).…”

Section: Introductionmentioning

confidence: 99%

Extension of the Spectral Difference Method to Premixed Laminar and Turbulent Combustion

Marchal

Deniau

Boussuge

et al. 2023

Flow Turbulence Combust

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A Spectral Difference (SD) algorithm on tensor-product elements which solves the reacting compressible Navier-Stokes equations is presented. The classical SD algorithm is shown to be unstable when a multi-species gas where thermodynamic properties depend on temperature and species mass fractions is considered. It is demonstrated that computing primitive variables from conservative variables at solution points and extrapolating them at flux points, rather than conservative variables, make the SD method stable for such case. In addition, a new methodology, more stable, for computing the diffusive fluxes at an interface is detailed. To allow the simulation of combustion, characteristic and wall boundary conditions for multi-species flows in the SD framework are introduced and the thickened flame turbulent combustion model is adapted to the SD context. Validation test cases from one-dimensional and two-dimensional Flow, Turbulence and Combustion laminar flames to a three-dimensional turbulent flame have been performed showing excellent agreement with each of the reference solutions. To the authors' knowledge, this is the first time that a 3D turbulent flame is simulated using the SD method. The interest of employing a high-order method, such as the SD, in combustion is demonstrated: high values of the polynomial degree improve the quality of the results which advocates for the use of p-refinement when simulating reacting flows.

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Section: Introductionmentioning

confidence: 99%

Extension of the Spectral Difference method to premixed laminar and turbulent combustion

Marchal

Deniau

Boussuge

et al. 2022

Preprint

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A Spectral Difference (SD) algorithm on tensor-product elements which solves the reacting compressible Navier-Stokes equations is presented. The classical SD algorithm is shown to be unstable when a multi-species gas where thermodynamic properties depend on temperature and species mass fractions is considered. It is demonstrated that computing primitive variables from conservative variables at solution points and extrapolating them at flux points, rather than conservative variables, make the SD method stable for such case. In addition, a new methodology, more stable, for computing the diffusive fluxes at an interface is detailed. To allow the simulation of combustion, characteristic and wall boundary conditions for multi-species flows in the SD framework are introduced and the thickened flame turbulent combustion model is adapted to the SD context. Validation test cases from one-dimensional and two-dimensional laminar flames to a three-dimensional turbulent flame have been performed showing excellent agreement with each of the reference solutions. To the authors' knowledge, this is the first time that a 3D turbulent flame is simulated using the SD method. The interest of employing a high-order method, such as the SD, in combustion is demonstrated: high values of the polynomial degree improve the quality of the results which advocates for the use of p-refinement when simulating reacting flows.

show abstract

Synthetic Freestream Disturbance for the Numerical Reproduction of Experimental Zero-Pressure-Gradient Bypass Transition Test Cases

Cited by 15 publications

References 36 publications

Turbulence kinetic energy transfers in direct numerical simulation of shock-wave–turbulence interaction in a compression/expansion ramp

Turbulence kinetic energy transfers in direct numerical simulation of shock-wave–turbulence interaction in a compression/expansion ramp

Extension of the Spectral Difference Method to Premixed Laminar and Turbulent Combustion

Extension of the Spectral Difference method to premixed laminar and turbulent combustion

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