Numerical simulations of underexpanded supersonic jet and free shear layer using WENO schemes

Cheng, Ting; Lee, K.S.

doi:10.1016/j.ijheatfluidflow.2005.01.006

Cited by 27 publications

(23 citation statements)

References 50 publications

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“…Other researchers have also advocated the WENO method for simulating compressible flows. [64][65][66][67][68] The hybridization of WENO reconstructions with high-order centraldifference or spectral schemes 69 to improve computational efficiency and reduce numerical dissipation in regions away from discontinuities is currently under development and will be used in future investigations of the physics of RichtmyerMeshkov mixing.…”

Section: -17mentioning

confidence: 99%

High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability: Comparison to experimental data and to amplitude growth model predictions

2007

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The reshocked single-mode Richtmyer-Meshkov instability is simulated in two spatial dimensions using the fifth-and ninth-order weighted essentially nonoscillatory shock-capturing method with uniform spatial resolution of 256 points per initial perturbation wavelength. The initial conditions and computational domain are modeled after the single-mode, Mach 1.21 air͑acetone͒/SF 6 shock tube experiment of Collins and Jacobs ͓J. Fluid Mech. 464, 113 ͑2002͔͒. The simulation densities are shown to be in very good agreement with the corrected experimental planar laser-induced fluorescence images at selected times before reshock of the evolving interface. Analytical, semianalytical, and phenomenological linear and nonlinear, impulsive, perturbation, and potential flow models for single-mode Richtmyer-Meshkov unstable perturbation growth are summarized. The simulation amplitudes are shown to be in very good agreement with the experimental data and with the predictions of linear amplitude growth models for small times, and with those of nonlinear amplitude growth models at later times up to the time at which the driver-based expansion in the experiment ͑but not present in the simulations or models͒ expands the layer before reshock. The qualitative and quantitative differences between the fifth-and ninth-order simulation results are discussed. Using a local and global quantitative metric, the prediction of the Zhang and Sohn ͓Phys. Fluids 9, 1106 ͑1997͔͒ nonlinear Padé model is shown to be in best overall agreement with the simulation amplitudes before reshock. The sensitivity of the amplitude growth model predictions to the initial growth rate from linear instability theory, the post-shock Atwood number and amplitude, and the velocity jump due to the passage of the shock through the interface is also investigated numerically.

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Section: -17mentioning

confidence: 99%

High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability: Comparison to experimental data and to amplitude growth model predictions

2007

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“…Ref. [2]), the use of shock-capturing schemes becomes (almost) mandatory [4]. Shock-capturing schemes of formal order of accuracy higher than one are always nonlinear [6], i.e.…”

Section: Introductionmentioning

confidence: 99%

On the spectral properties of shock-capturing schemes

Pirozzoli

2006

Journal of Computational Physics

240

166

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“…A jet impinging on a plane [6][7][8][9][10][11][12][13][14] is another type of compressible jet unsteady flows. Self-oscillations main frequencies are studied in [6][7].…”

Section: Introductionmentioning

confidence: 99%

“…Self-oscillations main frequencies are studied in [6][7]. Numerical flow field simulations are carried out in [8][9][10][11][12][13][14]. The numerical approach LES is used in [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

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Numerical Simulations of Self-Oscillatory Flows near Blunted Bodies, Giving off Opposite Jets

Pinchukov

2014

IJMEA

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New self-oscillatory compressible flows are found and investigated. Self-oscillations are supposed to be produced as a result of resonance interactions of flow "active" elements, namely, elements, amplifying disturbances. Hypothesis is used that contact discontinuities and intersection points of shocks with shocks or shocks with contact discontinuities compose the flow set of "active" elements. Two-dimensional Reynolds-averaged Navier-Stocks equations added by an algebraic turbulence model are solved by an implicit third order Runge-Kutta scheme. Well studied open cavity flow and jet impinging on a plane are calculated to verify the numerical method and the turbulence model. Compressible flows near blunted bodies, giving off supersonic opposite jets from forehead surfaces, are discovered to have self-oscillatory regimes.

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Numerical simulations of underexpanded supersonic jet and free shear layer using WENO schemes

Cited by 27 publications

References 50 publications

High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability: Comparison to experimental data and to amplitude growth model predictions

High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability: Comparison to experimental data and to amplitude growth model predictions

On the spectral properties of shock-capturing schemes

Numerical Simulations of Self-Oscillatory Flows near Blunted Bodies, Giving off Opposite Jets

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