Direct numerical simulation of compressible isotropic turbulence interacting with a normal shock wave

Jamme, Stéphane; Torres, Florence; Cazalbou, Jean-Bernard

doi:10.2514/6.1997-2070

Cited by 3 publications

(4 citation statements)

References 17 publications

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“…In fact, as it has been shown before (see e.g. Jamme et al, 2002), the mean compression in the budget equation of vorticity is the main contributor for the amplification of ω 2 y and ω 2 z across the shock. As a consequence, the shear stress is not involved in this phenomenon.…”

Section: Reynolds Stressessupporting

confidence: 65%

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DNS of the Interaction Between a Shock Wave and a Turbulent Shear Flow: Some Effects of Anisotropy

Crespo¹,

Jamme

Chassaing

2007

Proceeding of Fifth International Symposium on Turbulence and Shear Flow Phenomena

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Section: Reynolds Stressessupporting

confidence: 65%

“…More recently, Direct Numerical Simulations (DNS) and Large Eddy Simulations (LES) of shock-turbulence interaction began to emerge (see e.g. Jamme et al, 2002). All the works cited above allowed to understand the main features of shock-turbulence interaction when the upstream turbulent flow is isotropic.…”

Section: Introductionmentioning

confidence: 99%

DNS of the Interaction Between a Shock Wave and a Turbulent Shear Flow: Some Effects of Anisotropy

Crespo¹,

Jamme

Chassaing

2007

Proceeding of Fifth International Symposium on Turbulence and Shear Flow Phenomena

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“…The present test problem is a good model for sound waves that are generated when turbulence interacts with shock structures in a jet plume resulting in broadband noise. The more detailed interaction of shock waves with turbulence has also been studied in Jamme et al [22] and so it is to be expected that the test problem described here plays a role in those simulations, too. The problem was initialized on a two-dimensional domain spanning [0, 1.5] × [0, 1.5] using a uniform grid of 150 × 150 zones.…”

Section: Viic Shock-vortex Interaction Problemmentioning

confidence: 82%

Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy

Balsara¹,

Shu²

2000

Journal of Computational Physics

1,164

949

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In this paper we design a class of numerical schemes that are higher-order extensions of the weighted essentially non-oscillatory (WENO) schemes of G.-S. Jiang and C.-W. Shu (1996) and X.-D. Liu, S. Osher, and T. Chan (1994). Used by themselves, the schemes may not always be monotonicity preserving but coupled with the monotonicity preserving bounds of A. Suresh and H. T. Huynh (1997) they perform very well. The resulting monotonicity preserving weighted essentially non-oscillatory (MPWENO) schemes have high phase accuracy and high order of accuracy. The higher-order members of this family are almost spectrally accurate for smooth problems. Nevertheless, they, have robust shock capturing ability. The schemes are stable under normal CFL numbers. They are also efficient and do not have a computational complexity that is substantially greater than that of the lower-order members of this same family of schemes. The higher accuracy that these schemes offer coupled with their relatively low computational complexity makes them viable competitors to lower-order schemes, such as the older total variation diminishing schemes, for problems containing both discontinuities and rich smooth region structure. We describe the MPWENO schemes here as well as show their ability to reach their designed accuracies for smooth flow. We also examine the role of steepening algorithms such as the artificial compression method in the design of very high order schemes. Several test problems in one and two dimensions are presented. For multidimensional problems where the flow is not aligned with any of the grid directions it is shown that the present schemes have a substantial advantage over lower-order schemes. It is argued that the methods designed here have great utility for direct numerical simulations and large eddy simulations of compressible turbulence. The methodology developed here is applicable to other hyperbolic systems, which is demonstrated by showing 1 that the MPWENO schemes also work very well on magnetohydrodynamical test problems.

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“…Though direct numerical simulations (DNS) have been performed in the past to study the interaction of a shock wave with turbulence [11][12][13][14][15][16] and acoustic waves [17], the current work appears to be the first to use domain decomposition to study the interaction of a shock wave with small perturbations. Domain decomposition has become the method of choice for solving coupled problems in recent times since it provides the flexibility to solve each set of governing equations using the most suitable numerical methods on the most optimal grids.…”

Section: Introductionmentioning

confidence: 99%

A domain decomposition technique for small amplitude wave interactions with shock waves

Elhadidi

Chan

2021

Journal of Computational Physics

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Direct numerical simulation of compressible isotropic turbulence interacting with a normal shock wave

Cited by 3 publications

References 17 publications

DNS of the Interaction Between a Shock Wave and a Turbulent Shear Flow: Some Effects of Anisotropy

DNS of the Interaction Between a Shock Wave and a Turbulent Shear Flow: Some Effects of Anisotropy

Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy

A domain decomposition technique for small amplitude wave interactions with shock waves

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