Experimental and numerical study of the laminar separation in hypersonic flow

Chanetz, Bruno; Benay, R.; Bousquet, Jean-Marc; Bur, Reynald; Pot, T.; Grasso, Francesco; Moss, James N.

doi:10.1016/s1270-9638(98)80054-0

Cited by 49 publications

(6 citation statements)

References 8 publications

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“…Several families of finite element spaces designed for the Stokes problem are provided in IV.2 and Chapter VI in [6]. They all satisfy the discrete inf-sup condition (8) and can thus be applied for H f,h and Q h . Finally, standard finite element approximations of H m (Ω p ), such as piecewise linear elements for m = 1, can be applied for H p,h in the porous media region.…”

Section: A Two-grid Algorithmmentioning

confidence: 99%

“…Coupling different models may lead to very singular and complex structures across the interface and strong stiffness due to different scales, which would present considerable numerical difficulties. Examples of coupled multi-model applications include viscous-inviscid flows [4], compressibleincompressible fluids [16], turbulent-laminar flows [8], viscous-porous media flows [10,15,20,26], and inertial confinement fusion (ICF) with high ratio of density and temperature [30].…”

Section: Introductionmentioning

confidence: 99%

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A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow

Xu²

2007

SIAM J. Numer. Anal.

260

131

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We study numerical methods for solving a coupled Stokes-Darcy problem in porous media flow applications. A two-grid method is proposed for decoupling the mixed model by a coarse grid approximation to the interface coupling conditions. Error estimates are derived for the proposed method. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid approach for solving multi-modeling problems. Potential extensions and future directions are discussed.

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Section: A Two-grid Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow

Xu²

2007

SIAM J. Numer. Anal.

260

131

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“…Many comparisons have been made between numerical results with experimental data. 1,2,4,7,17 Although the Knudsen number is relatively small in this case, the comparative studies show that the thermodynamic nonequilibrium (rarefaction) gas effects are substantial and the implementation of the slip boundary condition is needed to improve the numerical results. In the present work, we use the BGK scheme to study this problem and evaluate the slip boundary condition in the numerical solution and compare it with experimental measurements.…”

mentioning

confidence: 99%

Application of Gas-Kinetic Scheme with Kinetic Boundary Conditions in Hypersonic Flow

2005

AIAA Journal

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This work focuses on the application of the gas-kinetic scheme based on the Bhatnagar-Gross-Krook particle collision model in the hypersonic flow simulations. Kinetic boundary conditions with different accommodation coefficients are constructed and implemented in the scheme. The numerical study is based on a laminar shock-wave/boundary-layer interaction in a Mach 10 flow passing through a hollow cylinder flare model. The grid-independent numerical results agree well with experimental measurements. The utilization of the kinetic slip boundary condition is necessary to improve the agreement between the current results, experimental measurements, as well as direct simulation Monte Carlo solutions. The effect of the variation of the accommodation coefficient on the flow solutions is quantitatively evaluated.

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“…Notwithstanding the great strides made in CFD techniques, the ability to predict largescale separated flow features especially at high enthalpy hypersonic flow conditions, is rather poor. More often than not the separation length measured during experiments does not agree well with CFD results (Chanetz B., et al, 1998). The separation length as computed by different CFD codes taking into account various real gas effects in high-enthalpy flow situations varies, and the actual cause of such variations is not clear.…”

Section: Introductionmentioning

confidence: 89%

Visualization of unsteady shock oscillations in the High-enthalpy flow field around double cones

Jagadeesh

Hashimoto

Naitou

et al. 2003

J Vis

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The presence of an adverse pressure gradient, shock/shock interaction and shock wave/boundary layer interaction often induces flow separation around bodies. However, the effect of dissociated flow on separated flow characteristics, especially at hypersonic speeds, is still not clear, and considerable differences are observed between experiments and numerical simulations. In this investigation, the unsteady separated flow features around double cones are visualized in the Shock Wave Research Center (SWRC) free-piston driven shock tunnel at a nominal Mach Number of 6.99 using multiple optical techniques. The time resolved shock structure oscillations in the flow field around double cones (first cone, semi-apex angle = 25q; second cone, semi-apex angles=50q, 65q, 68q and 70q) have been visualized using a high-speed image converter camera (IMACON) at a nominal stagnation enthalpy of 4.8 MJ/kg. In addition, flow visualization studies around the double cone is also carried out using Schlieren and double exposure holographic interferometry in order to precisely locate the separation point and measure the separation length. The presence of a triple shock structure in front of the second cone and a non-linear unsteady shock structure oscillation in the flow field are the significant results from visualization studies on the 25q/65q, 25q/68qand 25q/70q double cones. On the other hand, the flow field around 25q/50q is relatively steady and Type V shock/shock interaction is observed. Illustrative numerical simulation studies are carried out by solving N-S equations to complement the experiments. The simulated flow features around a double cone agree well qualitatively with experiments.

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Experimental and numerical study of the laminar separation in hypersonic flow

Cited by 49 publications

References 8 publications

A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow

A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow

Application of Gas-Kinetic Scheme with Kinetic Boundary Conditions in Hypersonic Flow

Visualization of unsteady shock oscillations in the High-enthalpy flow field around double cones

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