Ebook: Computation and Comparison of Efficient Turbulence Models for Aeronautics — European Research Project ETMA

The computation of complex turbulent flows by statistical modelling has already a long history. The most popular two-equation models today were introduced in the early sev­ enties. However these models have been generally tested in rather academic cases. The develope­ ment of computers has led to more and more acurate numerical methods. The interactions betwe~n numerical and modelling techniques are generally not well mastered. Moreover, computation of real life cases, including 3D effects, complex geometries and pressure gra­ dients based on two-equation models with low-Reynolds treatment at the proximity of walls are not really of common use. A large number of models has been proposed; this is perhaps the sign that none of them is really satisfactory, and then the assessment of their generality is not an easy task: it requires a lot of understanding of the physics and a lot of work for testing the large number of relevant cases in order to assess their limits of validity which is a condition for an improved confidence in engineering applications. This is probably why workshops and working groups are frequent and the ETMA consor­ tium has choosen to build a state of the art in theoretical and numerical statistical turbu­ lence modelling for real life computations by taking some marks with respect to previous workshops such as the Stanford meetings (1980,1981); some problems are kept or updated by new experiments, some problems are discarded, some new problems are introduced; the focus is kept on flows with 2D geometries.

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Zielgruppe
Str?mungsmechaniker, Ingenieure,

?ber den Autor/Hrsg
Die Herausgeber sind Sprecher des EU-Projekts ETMA

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Zielgruppe
Str?mungsmechaniker, Ingenieure,

?ber den Autor/Hrsg
Die Herausgeber sind Sprecher des EU-Projekts ETMA
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Test Case 1: Supersonic mixing layers....Pages 3-10
Numerical Simulation and Modeling of an Unsteady Supersonic Mixing-Layer Flow....Pages 11-19
A modified k-? model derived by homogenization techniques....Pages 20-27
Compressibility Models Applied to Supersonic Mixing Layers....Pages 28-36
Numerical simulation of supersonic mixing layers at different convective Mach numbers with a k — ? model....Pages 37-44
Supersonic Mixing Layer....Pages 45-51
Synthesis on compressible mixing layers....Pages 52-57
Front Matter....Pages 59-59
The Supersonic Flow Over An Axisymmetric Rearward Facing Step. Synthesis of Results.....Pages 61-67
Supersonic Rearward-Facing Step Calculations using an Explicit Fractional-Step Method and a Two-Equation Turbulence Model....Pages 68-75
Front Matter....Pages 76-85
Presentation of Test Cases TC-2A, TC-2B, TC-2C, TC-2D Twodimensional, Incompressible, Wall Flows with Separation....Pages 87-87
Incompressible Recirculating Flows....Pages 89-94
Computational Results on Test Cases TC-2C and TC2-D Two Dimensional, Incompressible Flows with Recirculation....Pages 95-102
Incompressible Recirculating Flows....Pages 103-110
Numerical Solution of the Turbulent Flow Over a Fence Using Two Equation Models....Pages 111-118
Computations of Separating and Reattaching Flows with High- and Low-Re-Number Second-Moment Closures....Pages 119-126
Incompressible Recirculating Flows....Pages 127-140
Synthesis of Test Cases TC-2C and TC-2D Twodimensional, Incompressible Flow Past Wall-Mounted Obstacles....Pages 141-153
Front Matter....Pages 154-161
Specification of Test Case TC3....Pages 163-163
A Numerical Evaluation of a New Algebraic Turbulence Model....Pages 165-179
Front Matter....Pages 180-189
Flat Plate Boundary Layers....Pages 163-163
Application of Turbulence Models to Incompressible Boundary Layers in Aeronautics....Pages 190-197
The Samuel-Joubert Test Case Computed by a Boundary-Layer Method....Pages 198-205
Applications of the Finite Element Method to the Reynolds-Averaged Navier-Stokes Equations....Pages 206-214
Simulations of Compressible Turbulent Boundary Layer using a Low Reynolds k — ? Model....Pages 215-222
Solutions of Non-Equilibrium Wall Boundary Layers with a Low-Re-Number Second Moment Closure....Pages 223-230
Synthesis on Test Case TC3 of ETMA Workshop....Pages 231-240
Front Matter....Pages 241-255
ETMA Test Case 6 Shock Reflection on a Flat Plate Description of the Test Case....Pages 257-257
Numerical Simulation of Shock Reflection with a Compressible K — ? Model....Pages 259-266
Simulations of Shock Reflection on Flat Plate using a Low Reynolds k — ? Model....Pages 267-274
Assessment of a One-Equation Pointwise Turbulence Model for Compressible Flow. — Testcase TC6.....Pages 275-282
ETMA Test Case 6 Shock Reflection on a Flat Plate Synthesis of the Calculations....Pages 283-290
Front Matter....Pages 291-298
Supersonic Compression Ramp Flow. Synthesis of Results.....Pages 299-299
Study of the Supersonic Compression Ramp Flow Using the k-? Turbulence Model with and Without Algebraic Reynolds Stress Modifications....Pages 301-310
Numerical Simulation of Compression Ramp Flows with a Compressible K — ? Model....Pages 311-322
Computation of a shock wave boundary layer interaction on compression ramp flow configuration....Pages 323-330
The shock / turbulent boundary layer interaction over the Princeton 20° and 24° ramps....Pages 331-335
Computations on the Compression Ramp Using Explicit Algebraic Reynolds Stress Models....Pages 336-349
Numerical simulation of a 24° compression ramp by a k — ? model with compressibility terms....Pages 350-363
Front Matter....Pages 364-371
Test Case TC5: Two Dimensional Transonic Bump....Pages 373-373
Front Matter....Pages 375-377
Assessment of a One-Equation Pointwise Turbulence Model for Compressible Flow....Pages 373-373
Numerical simulation of the flow over a 2D transonic bump with extended separation....Pages 378-385
Calculation of a Two Dimensional Transonic Bump with a Multiple-Time-Scale Turbulence Model....Pages 386-395
Extension of an Incompressible Algorithm for Compressible Flow Calculations; Validation on a Transsonic Flow in a Bump.....Pages 396-403
Computation of a shock wave boundary layer interaction in a nozzle with different anisotropic tubulence models....Pages 404-411
2-D Transonic Bump Flow Calculations Using an Explicit Fractional-Step Method....Pages 412-419
Computations on the Transonic Bump using Explicit Algebraic Reynolds Stress Models....Pages 420-431
TC5 Synthesis....Pages 432-441
Front Matter....Pages 442-455
Presentation of TC8: Flow around airfoil (steady)....Pages 456-471
Transonic Navier-Stokes Computations on Unstructured Grids using a Differential Reynolds Stress Model....Pages 473-473
Implicit Multigrid Computations of a Airfoil Flow....Pages 475-478
Unstructured Grid Solutions using k-? with Wall Functions....Pages 479-486
The Dornier 2D Navier-Stokes Approach Applied to Transonic Airfoil Flow....Pages 487-495
Flow Calculations Past RAE 2822 and MBB-A3 Airfoils for the ETMA Workshop Using the Navier Stokes Code ARC2D....Pages 496-502
Calculation of the RAE2822 transonic airfoil using the k — ? model....Pages 503-513
Application of an Unstructured Grid Flow Solver to Compressible Turbulent Flows....Pages 514-521
Front Matter....Pages 522-527
Presentation of the Test-Case TC8 bis....Pages 528-534
Prediction of the Unsteady Transonic Turbulent Flow Around a Circular-arc Aerofoil....Pages 535-535
Unsteady Separated Turbulent Flows Computation with Wall-Laws and k — ? Model....Pages 537-537
Front Matter....Pages 538-548
Unsteady Flow Over a Circular Arc Airfoil....Pages 549-560
Synthesis on the unsteady transonic flow around a circular-arc aerofoil (TC8bis)....Pages 535-535
Elements of Synthesis and Conclusion....Pages 561-567
Back Matter....Pages 568-572
....Pages 573-580