Reynolds stress anisotropy in shock/isotropic turbulence interactions

Grube, Nathan; Martı́n, M. Pino

doi:10.1017/jfm.2020.1070

Cited by 6 publications

(8 citation statements)

References 38 publications

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“…The LIA predictions for the overall TKE amplification factor in calorically perfect gases have been previously found to be in fair agreement with numerical simulations 36,38,39,49 and experiments 33 . However, the way LIA predicts the amplified TKE to be partitioned in the streamwise and transverse directions has not been as successful.…”

Section: Discussionsupporting

confidence: 74%

“…However, the way LIA predicts the amplified TKE to be partitioned in the streamwise and transverse directions has not been as successful. In particular, computational and experimental studies at supersonic Mach numbers have often reported Reynolds stress tensors with dominant streamwise contributions, this being an effect typically attributed to convective non-linearities and molecular transport 49 . Whether these discrepancies subside or persist at hypersonic Mach numbers is an open question of research.…”

Section: Discussionmentioning

confidence: 99%

“…Most early work on the interaction of shock waves with turbulence have been limited to calorically perfect gases in boundary layers [21][22][23][24][25][26][27][28][29][30] , and isotropic free streams [31][32][33][34][35] . Large-scale numerical simulations, including DNS [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50] , LES [51][52][53] , and RANS 54,55 , have been the pacing item for those investigations. Nonetheless, the rapid progress in large-scale numerical simulations during the last decades has not abated the fundamental role that theoretical analyses have played in understanding shock/turbulence interactions by providing closed-form solutions.…”

Section: Introductionmentioning

confidence: 99%

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Thermochemical effects on hypersonic shock waves interacting with weak turbulence

et al. 2021

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Section: Discussionsupporting

confidence: 74%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermochemical effects on hypersonic shock waves interacting with weak turbulence

et al. 2021

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“…These simulations require advanced computational models and algorithms to capture complex flow physics accurately. Researchers employ numerical techniques such as direct numerical simulations (DNS) [61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76] and large eddy simulations (LES) [77][78][79] to capture the intricate details of the flow field and provide valuable insights into the underlying physics of STI problems.…”

Section: Motivationmentioning

confidence: 99%

Linear Theory of Hypersonic Shocks Interacting with Turbulence in Air

Lara

Coello

Renzo

et al. 2023

AIAA SCITECH 2023 Forum

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Agradecimientos y a Ana, gracias por todo lo que me habéis enseñado y demostrarme que no hay que rendirse nunca. A mis abuelos, Juan (Lara) y Mariló, Juan (Cuadra) y Charo, y Juan (Gutierrez) y Mari, por vuestra valiosa ayuda a lo largo de mi vida. A mis hermanos, Javi, María, David y Laura, de quienes continúo aprendiendo constantemente. Sois luz, gracias por enseñarme tanto. A Sandra, Rubén, Sensi y, por supuesto, Aroa, por llegar a nuestras vidas. A Carmen, por darme tan buenos consejos y hacerme sentir como en casa. A mis tíos, especialmente a Juan (Lara), Caroli, Mari Carmen, Estrella, Jessi, Fran, Elena, José Manuel y Flas, gracias por vuestro apoyo y hacerme crecer como persona. Estéis donde estéis, Juan (Cuadra) y Diego, me habría encantado hablar de ciencia con vosotros. A mis primos, en especial a Mari Carmen (Cuadra), Juan y Gonzalo. Sois todos magníficos y no hay palabras suficientes para describir lo que significáis para mí. Habéis contribuido a mi crecimiento personal, y espero seguir mejorando a vuestro lado. Este trabajo va dedicado a todos vosotros.

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“…the amplification factor becomes a function of only. Furthermore, Grube & Martín (2021) studied the redistribution of energy between the transverse and streamwise Reynolds stresses in the shock–turbulence interaction using LIA and DNS. They developed a model for nonlinear interactions using LIA and the eddy viscosity approximation to quantify the redistribution of energy between transverse and streamwise Reynolds stresses.…”

Section: Introductionmentioning

confidence: 99%

A weakly nonlinear framework to study shock–vorticity interaction

2022

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Linear interaction analysis (LIA) is routinely used to study the shock–turbulence interaction in supersonic and hypersonic flows. It is based on the inviscid interaction of elementary Kovásznay modes with a shock discontinuity. LIA neglects nonlinear effects, and hence it is limited to small-amplitude disturbances. In this work, we extend the LIA framework to study the fundamental interaction of a two-dimensional vorticity wave with a normal shock. The predictions from a weakly nonlinear framework are compared with high-order accurate numerical simulations over a range of wave amplitudes ( $\epsilon$ ), incidence angles ( $\alpha$ ) and shock-upstream Mach numbers ( $M_1$ ). It is found that the nonlinear generation of vorticity at the shock has a significant contribution from the intermodal interaction between vorticity and acoustic waves. Vorticity generation is also strongly influenced by the curvature of the normal shock wave, especially for high incidence angles. Further, the weakly nonlinear analysis is able to predict the correct scaling of the nonlinear effects observed in the numerical simulations. The analysis also predicts a Mach number dependent limit for the validity of LIA in terms of the maximum possible amplitude of the upstream vorticity wave.

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Reynolds stress anisotropy in shock/isotropic turbulence interactions

Abstract: Abstract

Cited by 6 publications

References 38 publications

Thermochemical effects on hypersonic shock waves interacting with weak turbulence

Thermochemical effects on hypersonic shock waves interacting with weak turbulence

Linear Theory of Hypersonic Shocks Interacting with Turbulence in Air

A weakly nonlinear framework to study shock–vorticity interaction

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