Numerical Study of Compressible Mixing Layers Using High-Order WENO Schemes

Chaudhuri, A.; Hadjadj, A.; Chinnayya, A.; Palerm, Sandrine

doi:10.1007/s10915-010-9429-3

Cited by 48 publications

(31 citation statements)

References 19 publications

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“…Detailed descriptions of the applied methodology and validation of CHOC-WAVES code can be found in the authors previous works [51][52][53][54]. The convective fluxes are discretized using the sixth-order locally-conservative skew-symmetric split-centered formulation proposed in [55].…”

Section: Methodsmentioning

confidence: 99%

Effect of wall temperature in supersonic turbulent boundary layers: A numerical study

Hadjadj

Ben-Nasr

Shadloo

et al. 2015

International Journal of Heat and Mass Transfer

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Section: Methodsmentioning

confidence: 99%

Effect of wall temperature in supersonic turbulent boundary layers: A numerical study

Hadjadj

Ben-Nasr

Shadloo

et al. 2015

International Journal of Heat and Mass Transfer

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“…The time operator ∂U/∂t is advanced using a third-order Runge-Kutta TVD scheme. For the spatial derivative, ∂F/∂ξ , a fifth-order weighted essentially non-oscillatory scheme (WENO5) 1997;Ngomo et al 2010;Chaudhuri et al 2011). The coupling between the hydrodynamic solver and the source terms is made through the Strang splitting (Chinnayya, Hadjadj & Ngomo 2013).…”

Section: Methodsmentioning

confidence: 99%

Mean structure of one-dimensional unstable detonations with friction

2014

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WOS:000332844200022International audienceThis investigation deals with the study of the mean structure of a mildly unstable non-ideal detonation wave. The analysis is based on the integration of one-dimensional reactive Euler equations with friction forces using a third-order Runge-Kutta scheme and a fifth-order weighted essentially non-oscillatory (WENO5) spatial discretization. A one-step Arrhenius reaction mechanism is used for modelling the chemical reaction. When the frictional forces are active, the limit cycle based on the post-shock pressure reveals an enhanced pulsating behaviour of the downstream subsonic reaction zone compared to the ideal case. The results show that the detonation-velocity deficit increases as the mean reaction zone becomes thicker compared to the generalized ZND model. A new master equation, based on the Favre-averaged quantities, is derived and analysed along with new sonicity and thermicity conditions. The analysis of the species, momentum and energy balances reveals that the presence of mechanical fluctuations within the reaction zone constitutes another source of energy withdrawal, meaning that the detonation deviates from its laminar structure. Furthermore, the compressibility of the flow is analysed and the relationships between the fluctuations of temperature, velocity and reactive scalar are discussed in terms of strong Reynolds analogies

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“…In order to achieve an order of two, the Strang splitting is used instead of the previous Lie splitting. This achieves the coupling between the hydrodynamic solver and the source terms (see also [31,34]). …”

Section: Numerical Proceduresmentioning

confidence: 99%