Spectral Modeling and Numerical Simulation of Compressible Homogeneous Sheared Turbulence

Riahi, Mohamed Hedi; Tong, Lili

doi:10.5772/48617

Numerical Simulation - From Theory to Industry 2012

DOI: 10.5772/48617

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Spectral Modeling and Numerical Simulation of Compressible Homogeneous Sheared Turbulence

Mohamed Hedi Riahi¹,

Lili Tong²

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“…be written, in an orthonormal frame of reference (Craya-Herring frame) with bases e(Simone 1995, Simone et al 1997, Riahi et al 2007, Riahi 2008, Riahi and Lili 2011, 2012, as…”

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confidence: 99%

RDT study of non-isentropic compressible homogeneous sheared turbulence

Riahi

Tong

2020

Fluid Dyn. Res.

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The objective of this work is to formulate governing equations for non-isentropic compressible homogeneous sheared turbulence using rapid distortion theory (RDT). Furthermore, we develop a code able to solve these linearized equations. It is possible for this code to address both kinematic and thermal properties i.e. mass density, temperature variances, mass and heat fluxes which are the specific properties of compressible turbulence. RDT code resolves directly evolution equations of two-point spectral correlation. The results of our RDT code are compared with the direct numerical simulation data of Simone et al (1997) and have demonstrated good agreement. The comparisons concern different contributions such as the kinetic turbulent energy, the temporal energy growth rate, the non-dimensional production term, the solenoidal and dilatational contributions of non-dimensional production and the sum of pressure-dilatation terms and rate of kinetic energy dissipation, scaled by the production term. Some results concerning the polytropic coefficient and the energy partition parameter are presented and discussed.

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“…be written, in an orthonormal frame of reference (Craya-Herring frame) with bases e(Simone 1995, Simone et al 1997, Riahi et al 2007, Riahi 2008, Riahi and Lili 2011, 2012, as…”

mentioning

confidence: 99%

RDT study of non-isentropic compressible homogeneous sheared turbulence

Riahi

Tong

2020

Fluid Dyn. Res.

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A study of initial conditions' effects on thermal properties of compressible homogeneous sheared non-isentropic turbulence using rapid distortion theory (RDT)

Riahi

Tong

2023

Can. J. Phys.

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The paper investigates the effect of initial conditions characterized by compressibility of turbulence on the changes in scalar such as density, temperature and pressure within the framework of rapid distortion theory (RDT) in the case of non-isentropic turbulence. This study is a follow-up of the basic work from the J. Fluid Mech. article 330, 307 (1997) carried out by A. Simone, G.N. Coleman and C. Cambon in the case of quasi-isentropic turbulence and the previous work of M. Riahi and T. Lili from Fluid Dyn. Res. article 52, 025501 (2020) in the case of non-isentropic turbulence. RDT is used to examine the behavior of the root mean square (rms) fluctuations of density, temperature and pressure. The coupling between these rms quantities, the partition factor and the polytropic coefficient are also studied. RDT equations are solved numerically using a code which solves directly evolution equations of two-point spectral correlations for compressible homogeneous sheared non-isentropic turbulence. The RDT analysis is carried out for various initial turbulent Mach number Mt0 ranging from 0.1 to 0.4, and the initial compressible turbulence is to be one of the three states concerning the fraction of kinetic energy χ0: solenoidal (χ0=0), mixed (χ0=0.6) and dilatational (χ0=1) (χ0 is the ratio of the initial dilatational kinetic energy to the initial total kinetic energy). It is shown from this study that the changes in scalars are strongly dependent on the initial conditions. Magnitudes and asymptotic values of rms thermodynamics fluctuations and correlations between these thermodynamics fluctuations depend of Mt0. For large times, the isentropic state of the flow is well observed whatever Mt0 and χ0.

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Spectral Modeling and Numerical Simulation of Compressible Homogeneous Sheared Turbulence

Cited by 2 publications

References 18 publications

RDT study of non-isentropic compressible homogeneous sheared turbulence

RDT study of non-isentropic compressible homogeneous sheared turbulence

A study of initial conditions' effects on thermal properties of compressible homogeneous sheared non-isentropic turbulence using rapid distortion theory (RDT)

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