One-dimensional turbulence (ODT) is a simulation methodology that represents the essential physics of three-dimensional turbulence through stochastic resolution of the full range of length and time scales on a one-dimensional domain. In the present study, full compressible modifications are incorporated into ODT methodology, based on an Eulerian framework and a conservative form of the governing equations. In the deterministic part of this approach, a shock capturing scheme is introduced for the first time. In the stochastic part, one-dimensional eddy events are modeled and sampled according to standard methods for compressible flow simulation. Time advancement adjustments are made to balance comparable time steps between the deterministic and stochastic parts in compressible flows. Canonical shock–turbulence interaction cases involving Richtmyer–Meshkov instability at Mach numbers 1.24, 1.5, and 1.98 are simulated to validate the extended model. The ODT results are compared with available reference data from large eddy simulations and laboratory experiments. The introduction of a shock capturing scheme significantly improves the performance of the ODT method, and the results for turbulent kinetic energy are qualitatively improved compared with those of a previous compressible Lagrangian ODT method [Jozefik et al., “Simulation of shock–turbulence interaction in non-reactive flow and in turbulent deflagration and detonation regimes using one-dimensional turbulence,” Combust. Flame 164, 53 (2016)]. For the time evolution of profiles of the turbulent mixing zone width, ensemble-averaged density, and specific heat ratio, the new model also yields good to reasonable results. Furthermore, it is found that the viscous penalty parameter Z of the ODT model is insensitive to compressibility effects in turbulent flows without wall effects. A small value of Z is appropriate for turbulent flows with weak wall effects, and the parameter Z serves to suppress extremely small eddy events that would be dissipated instantly by viscosity.
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March 2023
Research Article|
March 08 2023
One-dimensional turbulence modeling of compressible flows: II. Full compressible modification and application to shock–turbulence interaction
Tianyun Gao (高天运)
;
Tianyun Gao (高天运)
(Conceptualization, Formal analysis, Investigation, Methodology, Writing – original draft)
1
Science and Technology on Scramjet Laboratory, National University of Defense Technology
, Changsha 410073, China
2
International Studies College, National University of Defense Technology
, Nanjing 210039, China
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Heiko Schmidt
;
Heiko Schmidt
(Conceptualization, Methodology, Supervision, Writing – review & editing)
3
Brandenburg Technical University Cottbus-Senftenberg
, Siemens-Halske-Ring 14, Cottbus 03046, Germany
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Marten Klein
;
Marten Klein
(Conceptualization, Investigation, Methodology, Writing – review & editing)
3
Brandenburg Technical University Cottbus-Senftenberg
, Siemens-Halske-Ring 14, Cottbus 03046, Germany
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Jianhan Liang (梁剑寒)
;
Jianhan Liang (梁剑寒)
a)
(Funding acquisition, Methodology, Supervision)
1
Science and Technology on Scramjet Laboratory, National University of Defense Technology
, Changsha 410073, China
a)Authors to whom correspondence should be addressed: [email protected], [email protected], and [email protected]
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Mingbo Sun (孙明波)
;
Mingbo Sun (孙明波)
a)
(Investigation, Supervision)
1
Science and Technology on Scramjet Laboratory, National University of Defense Technology
, Changsha 410073, China
a)Authors to whom correspondence should be addressed: [email protected], [email protected], and [email protected]
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Chongpei Chen (陈崇沛)
;
Chongpei Chen (陈崇沛)
a)
(Methodology, Writing – review & editing)
1
Science and Technology on Scramjet Laboratory, National University of Defense Technology
, Changsha 410073, China
a)Authors to whom correspondence should be addressed: [email protected], [email protected], and [email protected]
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Qingdi Guan (关清帝)
Qingdi Guan (关清帝)
(Data curation)
1
Science and Technology on Scramjet Laboratory, National University of Defense Technology
, Changsha 410073, China
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a)Authors to whom correspondence should be addressed: [email protected], [email protected], and [email protected]
Physics of Fluids 35, 035116 (2023)
Article history
Received:
December 02 2022
Accepted:
February 09 2023
Citation
Tianyun Gao, Heiko Schmidt, Marten Klein, Jianhan Liang, Mingbo Sun, Chongpei Chen, Qingdi Guan; One-dimensional turbulence modeling of compressible flows: II. Full compressible modification and application to shock–turbulence interaction. Physics of Fluids 1 March 2023; 35 (3): 035116. https://doi.org/10.1063/5.0137435
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