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© 2010 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary © 2010 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary High Lift CFD Simulations with an SST-Based Predictive Laminar to Turbulent Transition Model Robin Steed ANSYS Canada Ltd. Waterloo, Ontario Canada
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Page 1: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary© 2010 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary

High Lift CFD Simulations with an SST-Based Predictive Laminar to Turbulent Transition Model

Robin Steed

ANSYS Canada Ltd.

Waterloo, Ontario

Canada

Page 2: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 2 ANSYS, Inc. Proprietary

Outline

• About ANSYS

• ANSYS CFX Software and Solver Method

• SST g-Rq Transition Turbulence Model

• Model, Grids and Operating Conditions

• Results from SST g-Rq Transition Turbulence

Model

• Comparison to Fully Turbulent SST results

• Conclusions and Recommendations

Page 3: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 3 ANSYS, Inc. Proprietary

• Broad range of advanced

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Page 4: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 4 ANSYS, Inc. Proprietary

CFX Solver

Page 5: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 5 ANSYS, Inc. Proprietary

• General purpose CFD solver– Single solution method for all

flow regimes

• Discretization– Fully implicit

– Element Vertex Finite Volume Method

– Bounded 2nd order upwind advection

• Solution Method– Psuedo-transient relaxation

– Coupled Mass and Momentum (u,v,w,p)

– Linear equations solved using Algebraic Multigrid

ANSYS CFX Software

Page 6: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 6 ANSYS, Inc. Proprietary

New Approach to Transition

Modeling

Page 7: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 7 ANSYS, Inc. Proprietary

Transition Mechanisms

• Natural Transition

• Bypass Transition

• Separation Induced Transition

Effect of Transition

• Increase in wall shear stress.

• Influence on separation behaviour.

• Separation induced transition on suction side determines reattachment point (controls stall, lift and drag)

• Dramatic increase in wall heat transfer

• Change in flow topology.

What is Transition?

Laminar

boundary layer

Turbulent

boundary layer

Transition

region

Page 8: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 8 ANSYS, Inc. Proprietary

Natural Transition

• Result of flow instability magnified in boundary layer (Tollmien-Schlichting instability)

• Occurs under low freestreamturbulence ( < 1%)

• Typical Examples:

• Wind Turbine blades

• Fans of jet engines

• Helicopter blades

• Any aerodynamic body moving in still air

Bypass Transition

• Occurs if flow outside the laminar boundary layer has a high level of turbulence (> 1%).

• Typical Examples:

• Compressor or Turbine blade, where upstream blades have generated large disturbances traveling with the freestream.

Separation Induced Transition

• Takes place after a laminar separation of the boundary layer.

• Leads to a very rapid growth of disturbances and to transition.

• Can occur in any device with a pressure gradients in the laminar region.

• If flow is computed fully turbulent, the separation is missed entirely.

• Typical Examples:

• fans, wind turbines, helicopter blades, axial turbomachinery

Transition Mechanisms

Wave leading to

instability

External disturbance

leading to instability

Strong Inflexional Instability

Produces Turbulence in the

Boundary Layer

Page 9: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 9 ANSYS, Inc. Proprietary

Transition Model Requirements

• Compatible with modern CFD code:

– Unknown application

– Complex geometries

– Unknown grid topology

– Unstructured meshes (no search directions)

– Parallel codes – domain decomposition

• Requirements:

– Absolutely no search algorithms

– Absolutely no integration along lines

– Local formulation

– Different transition mechanisms

– Robust

– No excessive grid resolution

Laminar Flow

Transitional

Fully Turbulent

Page 10: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 10 ANSYS, Inc. Proprietary

SST g-Rq Transition Turbulence

Model Formulation

• SST + two additional transport equations

– Intermittency (g)• Fraction of turbulent vs laminar flow

• Transition onset controlled by relation between vorticityReynolds number and Reθt

– Transition Onset Reynolds number (Rθ)• Used to pass information about free stream conditions

into boundary layer (e.g. impinging wakes)

• New Empirical Correlation

– Similar to Abu-Ghannam and Shaw, improvements for Natural transition

• Modification for Separation Induced Transition

– Forces rapid transition once laminar sep. occurs

– Locally Intermittency can be larger than one

Config1 @ 13 [deg]

Transition

Turbulence Intensity

Reθt = 260

)0,1Re193.2

Remax(~

t

vonsetF

q

Vorticity Re number profiles

y

uyv

2

Re

),(Re tTuft qq

01 gP

),(Re q Tuft

Page 11: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 11 ANSYS, Inc. Proprietary

The NASA Trap Wing Model

Validating Transition

Page 12: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 12 ANSYS, Inc. Proprietary

• Ideal test case for industrial application of transition model

• Low Reynolds number– 1e6 transition will be a factor

• Complex 3D wing– Opportunity for multiple, interacting

transition mechanisms

– Changes in flow topology can lead to large scale effect

• Difficult problem– Known difficulty capturing stall

• Could transition help?

• Validation– Good experimental data available

• Sharing and feedback– Excellent venue for gaining feedback

from expert users

HiLiPW-1 Trap Wing Model

Page 13: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 13 ANSYS, Inc. Proprietary

Trap Wing Model

Page 14: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 14 ANSYS, Inc. Proprietary

• Workshop grid

– Configuration 1

– Hex A-v1

• Operating Conditions

– Mach = 0.2

– Reynolds number = 4.3 million• based on mean aerodynamic chord

– Reference Temperature = 288.89 K

(530 R)

• Y+ < 1

Model, Grids and Operating

Conditions

Transition

α6 13 21 28 32 34 37

Extra-coarse

Coarse

Medium

Nodes Elements

Extra-coarse 6,068,737 5,957,632

Coarse 20,356,741 20,107,008

Medium 48,104,801 47,661,056

Fine 161,853,985 160,856,064

Page 15: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 15 ANSYS, Inc. Proprietary

SST g-Rq Transition Results

Lift Coefficient

Page 16: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 16 ANSYS, Inc. Proprietary

SST g-Rq Transition Results

Drag Coefficient

Page 17: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 17 ANSYS, Inc. Proprietary

SST g-Rq Transition Results

Moment Coefficient

Page 18: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 18 ANSYS, Inc. Proprietary

SST g-Rq Transition Results

Skin Friction @ α=28°

Laminar Separation Bubbles

Separation Induced Transition

Page 19: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 19 ANSYS, Inc. Proprietary

Comparison to SST Fully Turbulent SST

Lift Coefficient

Page 20: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 20 ANSYS, Inc. Proprietary

Comparison to SST Fully Turbulent SST

Drag Coefficient

Page 21: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 21 ANSYS, Inc. Proprietary

Comparison to SST Fully Turbulent SST

Moment Coefficient

Page 22: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 22 ANSYS, Inc. Proprietary

Comparison to SST Fully Turbulent SST

Laminar separation on slat

Laminar

Separation

Bubble

Normalized

Turbulence

Intensity = 0.17

a=34°20%

18%

16%

14%

12%

10%

8%

6%

4%

2%

0%

Page 23: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 23 ANSYS, Inc. Proprietary

Comparison to Fully Turbulent SST

results

Fully Turbulent Transitional

= 0.70

a=13°

Page 24: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 24 ANSYS, Inc. Proprietary

Comparison of Transitional, Fully Turbulent and

Experimental values @ α=13°, 28°, 34°

Separation

Page 25: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 25 ANSYS, Inc. Proprietary

Premature stall @ α=34°

Tra

nsitio

nal

Fully

Turb

ule

nt

Page 26: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 26 ANSYS, Inc. Proprietary

SST g-Rq Transition Results

Lift Coefficient

Page 27: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 27 ANSYS, Inc. Proprietary

Conclusions and

Recommendations

• Conclusions

– SST g-Rq transition model agrees well with

experimental data at all grid levels and most α

– Laminar separation leads to premature stall

prediction at high α

– Stall prediction improves with mesh refinement

• Transition optimized grid may be required

• Future work

– Investigate the influence of grid refinement

near transition zones

Page 28: High Lift CFD Simulations with an SST-Based Predictive ...•Many CFD solutions –General purpose solvers • FLUENTand CFX –General purpose grid generation • ICEM CFD and ANSYS

© 2010 ANSYS, Inc. All rights reserved. 28 ANSYS, Inc. Proprietary© 2010 ANSYS, Inc. All rights reserved. 28 ANSYS, Inc. Proprietary

Robin Steed

ANSYS Canada Ltd.

Waterloo, Ontario

Canada


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