Numerical simulation of the effect of local volume energy supply on high-speed boundary layer stability

Федоров, А. В.; Рыжов, А. А.; Soudakov, Vitaly; Utyuzhnikov, Sergey

doi:10.1016/j.compfluid.2014.04.026

Cited by 2 publications

(3 citation statements)

References 23 publications

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“…First, the largest sensitivity is close to the leading edge. This large sensitivity upstream of the forcing was already highlighted by Fedorov et al (2014) through the analysis of the effect of a local volume energy source term. Then, two local maxima of the gradient in the heating zone seem to correspond with the maximal forcing and response zones.…”

Section: Sensitivity Of the Second Mack Mode To Steady Wall Heatingmentioning

confidence: 70%

“…To find the optimal location of a wall heating device, DNS simulations of supersonic flows were carried out. Fedorov et al (2014) showed that the region upstream of the neutral point is optimal to place a heating device in order to stabilise the second Mack mode but Soudakov, Fedorov & Egorov (2015) underlined that this location depends on the receptivity region for a sharp cone at Mach 6. Recent studies (Zhao et al 2018;Batista & Kuehl 2020) found that cooling upstream of the synchronisation point and heating downstream damp the second Mack mode.…”

Section: Introductionmentioning

confidence: 99%

“…Fedorov et al. (2014) showed that the region upstream of the neutral point is optimal to place a heating device in order to stabilise the second Mack mode but Soudakov, Fedorov & Egorov (2015) underlined that this location depends on the receptivity region for a sharp cone at Mach 6. Recent studies (Zhao et al.…”

Section: Introductionmentioning

confidence: 99%

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Adjoint-based linear sensitivity of a supersonic boundary layer to steady wall blowing–suction/heating–cooling

Poulain,

Content,

Rigas

et al. 2024

J. Fluid Mech.

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For a Mach $4.5$ flat-plate adiabatic boundary layer, we study the sensitivity of the first, second Mack modes and streaks to steady wall-normal blowing/suction and wall heat flux. The global instabilities are characterised in frequency space with resolvent gains and their gradients with respect to wall-boundary conditions are derived through a Lagrangian-based method. The implementation is performed in the open-source high-order finite-volume code BROADCAST and algorithmic differentiation is used to access the high-order state derivatives of the discretised governing equations. For the second Mack mode, the resolvent optimal gain decreases when suction is applied upstream of Fedorov's mode $S$ /mode $F$ synchronisation point, leading to stabilisation, and the converse when applied downstream. The largest suction gradient is in the region of branch I of mode $S$ neutral curve. For heat-flux control, strong heating at the leading edge stabilises both the first and second Mack modes, the former being more sensitive to wall-temperature control. Streaks are less sensitive to any boundary control in comparison with the Mack modes. Eventually, we show that an optimal actuator consisting of a single steady heating strip located close to the leading edge manages to damp the linear growth of all three instability mechanisms.

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Section: Sensitivity Of the Second Mack Mode To Steady Wall Heatingmentioning

confidence: 70%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Adjoint-based linear sensitivity of a supersonic boundary layer to steady wall blowing–suction/heating–cooling

Poulain,

Content,

Rigas

et al. 2024

J. Fluid Mech.

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Shock stability of a novel flux splitting scheme

Wei,

Shang,

Jiao

et al. 2024

MATH

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<abstract><p>This article introduced the HLL-CPS-T flux splitting scheme, which is characterized by low dissipation and robustness. A detailed theoretical analysis of the dissipation and shock stability of this scheme was provided. In comparison to Toro's TV flux splitting scheme, the HLL-CPS-T scheme not only exhibits accurate capture of contact discontinuity, but also demonstrates superior shock stability, as evidenced by its absence of 'carbuncle' phenomenon. Through an examination of the disturbance attenuation properties of physical quantities in the TV and HLL-CPS-T schemes, an inference was derived: The shock stability condition for an upwind method in the velocity perturbation was damped. Theoretical analysis was given to verify the reasonableness of this inference. Numerical experiments were carefully selected to test the robustness of the new splitting scheme.</p></abstract>

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Numerical simulation of the effect of local volume energy supply on high-speed boundary layer stability

Cited by 2 publications

References 23 publications

Adjoint-based linear sensitivity of a supersonic boundary layer to steady wall blowing–suction/heating–cooling

Adjoint-based linear sensitivity of a supersonic boundary layer to steady wall blowing–suction/heating–cooling

Shock stability of a novel flux splitting scheme

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