Two-Dimensional Supersonic Flow

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Andrea Beck - One of the best experts on this subject based on the ideXlab platform.

  • rans simulation of turbulent boundary layer shock interactions on a generic inlet structure
    17th AIAA Computational Fluid Dynamics Conference, 2005
    Co-Authors: Andrea Beck
    Abstract:

    Within the framework of the German Special Research Group SFB 259 “High Temperature Problems of Reusable Space Transportation Systems”, generic ramjet inlet configurations are investigated both experimentally and numerically in Supersonic Flow conditions. A special focus is put on identifying the geometric parameters that dominate the interaction of the shock waves with the turbulent boundary layer along the inlet wall. To this end, the Two-Dimensional Supersonic Flow over two consecutive compression ramps was simulated numerically, using the DLR Finite-Volume Flower code on a structured grid to solve the full Reynolds – Averaged Navier – Stokes equations. The effects of turbulence were modeled with the help of the Baldwin-Lomax algebraic model and a selection of kderivatives. Experimentally measured boundary layer data was employed to create physically sound inFlow profiles and to gain estimates for the turbulent quantities at the inFlow face. The simulations focused on the predictive capabilities of the chosen RANS models for the coupled shock-boundary layer interactions on a double ramp as well as on the qualitative and quantitative effects of varying ramp angles on the Flow field. Based on comparison with available experimental data, Menter’s SST kmodel was identified as the most suitable approach for this type of problem. It was the only model that predicted the separation zones and associated shock locations with acceptable accuracy. It was found that while the other three models show a trend towards an acceptable qualitative agreement, their quantitative predictions are too poor to serve in a detailed design process of the inlet geometry. Thus, to achieve a certain trustworthiness of the solution, the high computational cost associated with the SST model has to be accepted.

Andrea D Beck - One of the best experts on this subject based on the ideXlab platform.

  • rans simulation of turbulent boundary layer shock interactions on a generic inlet structure cfd student paper competition
    2005
    Co-Authors: Andrea D Beck
    Abstract:

    Within the framework of the German Special Research Group SFB 259 “High Temperature Problems of Reusable Space Transportation Systems”, generic ramjet inlet configurations are investigated both experimentally and numerically in Supersonic Flow conditions. A special focus is put on identifying the geometric parameters that dominate the interaction of the shock waves with the turbulent boundary layer along the inlet wall. To this end, the Two-Dimensional Supersonic Flow over two consecutive compression ramps was simulated numerically, using the DLR Finite-Volume Flower code on a structured grid to solve the full Reynolds ‐ Averaged Navier ‐ Stokes equations. The effects of turbulence were modeled with the help of the Baldwin-Lomax algebraic model and a selection of k-�derivatives. Experimentally measured boundary layer data was employed to create physically sound inFlow profiles and to gain estimates for the turbulent quantities at the inFlow face. The simulations focused on the predictive capabilities of the chosen RANS models for the coupled shock-boundary layer interactions on a double ramp as well as on the qualitative and quantitative effects of varying ramp angles on the Flow field. Based on comparison with available experimental data, Menter’s SST k-� model was identified as the most suitable approach for this type of problem. It was the only model that predicted the separation zones and associated shock locations with acceptable accuracy. It was found that while the other three models show a trend towards an acceptable qualitative agreement, their quantitative predictions are too poor to serve in a detailed design process of the inlet geometry. Thus, to achieve a certain trustworthiness of the solution, the high computational cost associated with the SST model has to be accepted.

Jose P Tamagno - One of the best experts on this subject based on the ideXlab platform.

  • numerical simulations using tvd schemes of two dimensional Supersonic Flow in chemical equilibrium
    International Journal of Computational Methods, 2017
    Co-Authors: J Saldia, Sergio Elaskar, Jose P Tamagno
    Abstract:

    A numerical scheme for the solution of both unsteady and steady-state, Two-Dimensional Euler equations considering gas in chemical equilibrium, is presented. Three alternatives of the Total Variation Diminishing (TVD) Harten–Yee scheme are implemented. One of them is a technique based on the adaptive use of different limiter functions in each wave of the inter-cell Riemann problem. With this technique, the undesirable effects of the artificial viscosity on the capture of contact discontinuities are reduced, without loss of robustness in nonlinear waves resolution. In order to verify the accuracy of the proposed scheme, results of the unsteady Flow in cylindrical explosions, and of the steady-state solution of hypersonic Flow over a blunt body, are presented. Finally, comparisons considering accuracy of results and convergence properties between the three Harten–Yee schemes are carried out.

J Saldia - One of the best experts on this subject based on the ideXlab platform.

  • numerical simulations using tvd schemes of two dimensional Supersonic Flow in chemical equilibrium
    International Journal of Computational Methods, 2017
    Co-Authors: J Saldia, Sergio Elaskar, Jose P Tamagno
    Abstract:

    A numerical scheme for the solution of both unsteady and steady-state, Two-Dimensional Euler equations considering gas in chemical equilibrium, is presented. Three alternatives of the Total Variation Diminishing (TVD) Harten–Yee scheme are implemented. One of them is a technique based on the adaptive use of different limiter functions in each wave of the inter-cell Riemann problem. With this technique, the undesirable effects of the artificial viscosity on the capture of contact discontinuities are reduced, without loss of robustness in nonlinear waves resolution. In order to verify the accuracy of the proposed scheme, results of the unsteady Flow in cylindrical explosions, and of the steady-state solution of hypersonic Flow over a blunt body, are presented. Finally, comparisons considering accuracy of results and convergence properties between the three Harten–Yee schemes are carried out.

John D. Anderson - One of the best experts on this subject based on the ideXlab platform.

  • computational fluid dynamics the basics with applications
    1995
    Co-Authors: John D. Anderson
    Abstract:

    Part I*Basic Thoughts and Equations 1 Philosophy of Computational Fluid Dynamics 2 The Governing Equations of Fluid Dynamics Their Derivation, A Discussion of Their Physical Meaning, and A Presentation of Forms Particularly Suitable to CFD 3 Mathematical Behavior of Partial Differential Equations The Impact on Computational Fluid Dynamics Part II*Basics of the Numerics 4 Basic Aspects of Discretization 5 Grids and Meshes, With Appropriate Transformations 6 Some Simple CFD Techniques A Beginning Part III*Some Applications 7 Numerical Solutions of Quasi-One-Dimensional Nozzle Flows 8 Numerical Solution of A Two-Dimensional Supersonic Flow Prandtl-Meyer Expansion Wave 9 Incompressible Couette Flow Numerical Solution by Means of an Implicit Method and the Pressure Correction Method 10 Incompressible, Inviscid Slow Over a Circular Cylinder Solution by the Technique Relaxation Part IV*Other Topics 11 Some Advanced Topics in Modern CFD A Discussion 12 The Future of Computational Fluid Dynamics Appendixes A Thomas's Algorithm for the Solution of A Tridiagonal System of Equations References