<p>This work numerically investigates the interaction of shock waves with sinusoidal fuel-air interfaces using an enhanced detonationFoam solver, which employs a detailed nine-species, twenty-one-step H<InlineEquation ID="IEq1"> <EquationSource Format="TEX">$_2$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>2</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>-O<InlineEquation ID="IEq2"> <EquationSource Format="TEX">$_2$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>2</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> chemical mechanism. Effects of shock strength, interface amplitude, and interface thickness on the evolution of shocked interface are examined. Two distinct ignition modes are identified: weak ignition at <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$Ma = 2.0$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mi>a</mi> <mo>=</mo> <mn>2.0</mn> </mrow> </math></EquationSource> </InlineEquation> where transverse waves create localized ignition sites at spike and bubble tips, and strong ignition at <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$Ma = 2.7$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mi>a</mi> <mo>=</mo> <mn>2.7</mn> </mrow> </math></EquationSource> </InlineEquation> where intense shock compression triggers rapid ignition across the interface. Combustion generally exerts negligible influence on interface evolution in both regimes, with dimensionless amplitude evolution collapsing onto a single curve regardless of reaction activity. Large-amplitude interfaces exhibit more complex ignition behavior with multiple triple points and Mach stems inducing multi-site ignition. A modified VMG model (Vandenboomgaerde, et al. Phys Rev E 58(2):1874–1882, 1998) incorporating a reduction factor successfully predicts the linear growth rate across different amplitudes, confirming that hydrodynamic effects dominate instability evolution even with enhanced combustion complexity. Interface diffusion-layer thickness introduces regime-dependent effects on ignition. In the weak-ignition regime, a non-monotonic behavior emerges: moderate thickening advances ignition by reducing scalar dissipation rate, while excessive thickening delays ignition by attenuating shock-induced compression. In contrast, under strong-ignition conditions, interface thickening consistently delays ignition as it weakens the abrupt thermal compression. For thick interfaces at high Mach numbers, combustion-enhanced viscosity plays a significant role, and the instability evolution is governed by the combined effects of baroclinic torque and viscous vorticity production. The heat release rate peaks briefly after ignition and rapidly decays as mixing becomes insufficient, explaining the limited overall influence of combustion on instability growth in non-premixed configurations.</p>

Interaction of shock wave with sinusoidal fuel-air interface

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2026年7月20日

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Jianwen Liu,
Pengfei Yang,
Wan Cheng,
Juchun Ding,
Xisheng Luo

摘要

This work numerically investigates the interaction of shock waves with sinusoidal fuel-air interfaces using an enhanced detonationFoam solver, which employs a detailed nine-species, twenty-one-step H $_2$ $_{2}$ -O $_2$ $_{2}$ chemical mechanism. Effects of shock strength, interface amplitude, and interface thickness on the evolution of shocked interface are examined. Two distinct ignition modes are identified: weak ignition at $Ma = 2.0$ $M a = 2.0$ where transverse waves create localized ignition sites at spike and bubble tips, and strong ignition at $Ma = 2.7$ $M a = 2.7$ where intense shock compression triggers rapid ignition across the interface. Combustion generally exerts negligible influence on interface evolution in both regimes, with dimensionless amplitude evolution collapsing onto a single curve regardless of reaction activity. Large-amplitude interfaces exhibit more complex ignition behavior with multiple triple points and Mach stems inducing multi-site ignition. A modified VMG model (Vandenboomgaerde, et al. Phys Rev E 58(2):1874–1882, 1998) incorporating a reduction factor successfully predicts the linear growth rate across different amplitudes, confirming that hydrodynamic effects dominate instability evolution even with enhanced combustion complexity. Interface diffusion-layer thickness introduces regime-dependent effects on ignition. In the weak-ignition regime, a non-monotonic behavior emerges: moderate thickening advances ignition by reducing scalar dissipation rate, while excessive thickening delays ignition by attenuating shock-induced compression. In contrast, under strong-ignition conditions, interface thickening consistently delays ignition as it weakens the abrupt thermal compression. For thick interfaces at high Mach numbers, combustion-enhanced viscosity plays a significant role, and the instability evolution is governed by the combined effects of baroclinic torque and viscous vorticity production. The heat release rate peaks briefly after ignition and rapidly decays as mixing becomes insufficient, explaining the limited overall influence of combustion on instability growth in non-premixed configurations.