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A Comparison of Strategies for Simulating Vehicle Heat Protection Test Cycles in 3D
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Find your FIT A Comparison of Strategies for Simulating Vehicle Heat Protection Test Cycles in 3D The Thermal Management Process 2 The Thermal Management Process The ideal process minimizes the cost of each step Source Model Meshing
A Comparison of Strategies for Simulating Vehicle Heat Protection Test Cycles in 3D
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Meshing Source Inputs Model Construction Calculation Model Revision Post Processing Communicate Results
The ideal process minimizes the cost of each step
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Meshing Source Inputs Model Construction Calculation Model Revision Post Processing Communicate Results
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Calculation
Speed (m/s)
Method 1 Method 2 Method 3
Simulation methods Approach to evaluation Results Conclusions
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Conjugate Heat Transfer
Methods Approach Results Conclusions
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CFD Coupling
CFD TAITherm
Surface temps (Twall) Convection coefficients or fluid velocities & fluid temperatures (h and Tfluid)
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Test Cycle Duration(s) Transient Solid Domain - TAITherm
Tw HTC & Tf Tw
Coupling Interval
Step Wise
Tw HTC & Tf Tw Repeated Process
Methods Approach Results Conclusions
CFD CFD
Psuedo-Transient
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CFD
Steady-state repr. t=0
TAITherm
Steady-state at t=0
CFD
Steady-state repr. t=4
1 2 3 4 5 6 7 8 9 Time
CFD
Steady-state repr. t=9
TAITherm Initial Thermal Model (estimated convection) TAITherm
Transient from t=0 to t=4
1
2 3 4 5
Methods Approach Results Conclusions
CFD
Steady-state repr. t=0
TAITherm
Steady-state at t=0
CFD
Steady-state repr. t=4
1 2 3 4 5 6 7 8 9 Time
CFD
Steady-state repr. t=9
TAITherm Initial Thermal Model (estimated convection) TAITherm
Transient from t=0 to t=4
1
2 3 4 5
CFD
Steady-state repr. t=4
TAITherm
Transient from t=0 to t=4
Heat Transfer Coefficient Time
Run Thermal model with initial CFD HTC and Tf Tw CFD Data from time = 0 CFD Data from time = 4, prior to transient coupling CFD Data from time = 4, after 1st transient coupling loop
Methods Approach Results Conclusions
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CFD
Steady-state repr. t=0
TAITherm
Steady-state at t=0
CFD
Steady-state repr. t=4
1 2 3 4 5 6 7 8 9 Time
CFD
Steady-state repr. t=9
TAITherm Initial Thermal Model (estimated convection) TAITherm
Transient from t=0 to t=4
1
2 3 4 5
CFD
Steady-state repr. t=4
TAITherm
Transient from t=0 to t=4
Heat Transfer Coefficient Time
Run Thermal model with updated CFD HTC and Tf Tw
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CFD
Steady-state repr. t=0
TAITherm
Steady-state at t=0
CFD
Steady-state repr. t=4
1 2 3 4 5 6 7 8 9 Time
CFD
Steady-state repr. t=9
TAITherm Initial Thermal Model (estimated convection) TAITherm
Transient from t=0 to t=4
1
2 3 4 5
CFD
Steady-state repr. t=4
TAITherm
Transient from t=0 to t=4
Heat Transfer Coefficient Time
Run Thermal model with updated CFD
Psuedo-Transient
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CFD
Steady-state repr. t=0
TAITherm
Steady-state at t=0
CFD
Steady-state repr. t=4
1 2 3 4 5 6 7 8 9 Time
CFD
Steady-state repr. t=9
TAITherm Initial Thermal Model (estimated convection) TAITherm
Transient from t=0 to t=4
1
2 3 4 5
TAITherm
Transient from t=4 to t=9
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Methods Approach Results Conclusions
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Surrogate Modeling Process
Sample range of vehicle operating conditions Compute a steady state CHT solution at each operating condition Fit an equation to the convective boundary conditions Run transient thermal model using surrogate model to approximate convective boundary conditions 1D 2D
Uniform Sampling of Vehicle Speed OLHC of Vehicle Speed and Inlet Temperature Coupled CHT solutions Linear Interpolation Gaussian Anisotropic Kriging Coupled CHT solutions Leveraged Existing Software Features Custom Developed Coupling Harness
Methods Approach Results Conclusions
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Traditional Conjugate Heat Transfer Simulation Stepwise Transient Surrogate Models Pros Cons
costs
allocation
assumption
allocation
assumption Psuedo Transient
allocation
Methods Approach Results Conclusions
assumptions
Process automation software from ThermoAnalytics
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Meshing Source Inputs Model Construction Calculation Model Revision Post Processing Communicate Results
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model
points based on Drive Cycle Profile
cases
transient thermal model
model
models
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model with all CFD points
up SS CFD models
CFD models
models
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bay geometry
Methods Approach Results Conclusions
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50 100 150 200 250 300 350 400 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 1600 1800 2000
Tf(K) HTC (w/m2K) Time (s)
HTC Tf
Crank Case Manifolds Head Block
Methods Approach Results Conclusions
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Inlet Pressure Outlet Pressure Outlet
295 300 305 310 315 320 325 330 335 2 4 6 8 10 12 14 16 500 1000 1500 2000
Inlet Temperature (K) Inlet Speed (m/s) Time (s)
Inlet Speed Inlet Temperature
Methods Approach Results Conclusions
25 5 10 15 20 25 30 35 40 500 1000 Speed (m/s) Time (s)
Cycle 1
5 10 15 20 25 30 35 40 1000 2000 3000 4000 Speed (m/s) Time (s)
Cycle 3
5 10 15 20 25 30 35 40 500 1000 1500 2000 Speed (m/s) Time (s)
Cycle 2
Duration (s) Max Speed (m/s)
Volatility 1350 1800 3600 38.8 18.0 2.98 36.5 12.9 0.27 31.4 18.6 0.06
Methods Approach Results Conclusions
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Methods Approach Results Conclusions
Cycle 1 Cycle 2 Cycle 3
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Stepwise Transient Prediction - Temperature
Cycle 1 Cycle 2 Cycle 3
6 node average
5 10 15 20 25 30 35 40 45 300 350 400 450 500 550 200 400 600 800 1000 1200 1400 Vehicle Speed (m/s) Temperature (K) Time (s) CHT Stepwise - 30s Vehicle Speed 5 10 15 20 25 30 35 40 300 320 340 360 380 400 420 500 1000 1500 2000 Vehicle Speed (m/s) Temperature (K) Time (s)
CHT Stepwise - 30s Vehicle Speed
Methods Approach Results Conclusions
300 320 340 360 380 400 420 440 500 1000 1500 2000 2500 3000 3500
Temperature (K) Time (s)
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5 10 15 20 25 30 35 40 45 300 350 400 450 500 550 500 1000 Vehicle Speed (m/s) Temperature (K) Time (s) CHT 1D Surrogate 2D Surrogate Vehicle Speed
5 10 15 20 25 30 35 40 300 320 340 360 380 400 420 440 500 1000 1500 2000
Vehicle Speed (m/s) Temperature (K) Time (s)
CHT 1D Surrogate 2D Surrogate Vehicle Speed
Cycle 1 Cycle 2 Cycle 3
5 10 15 20 25 30 35 300 320 340 360 380 400 420 440 500 1000 1500 2000 2500 3000 3500
Vehicle Speed (m/s) Temperature (K) Time (s)
CHT 1D Surrogate 2D Surrogate Vehicle Speed
Surrogate Model Transient Prediction – Temperature
6 node average
Methods Approach Results Conclusions
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Cycle 1 Cycle 2 Cycle 3
5 10 15 20 25 30 35 40 45 300 350 400 450 500 550 200 400 600 800 1000 1200 1400
Vehicle Speed (m/s) Temperature (K) Time (s)
CHT Psuedo-Transient 30s Vehicle Speed 5 10 15 20 25 30 35 40 300 320 340 360 380 400 420 500 1000 1500 2000
Vehicle Speed (m/s) Temperature (K) Time (s)
CHT Psuedo-Transient 30s Vehicle Speed
Psuedo Transient Prediction – Temperature
6 node average
Methods Approach Results Conclusions
300 320 340 360 380 400 420 440 1000 2000 3000
Temperature (K) Time (s)
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0.0 1.0 2.0 3.0 4.0 5.0 6.0 1D Surrogate 2D Surrogate Stepwise - 30s Psuedo-Transient 30s
RMSE (K)
Manifold
Cycle 1 Cycle 2 Cycle 3 0.0 1.0 2.0 3.0 4.0 5.0 6.0 1D Surrogate 2D Surrogate Stepwise - 30s Psuedo-Transient 30s
RMSE (K)
Top Wall
Cycle 1 Cycle 2 Cycle 3
55 node average 6 node average
0.5 1 1.5 2 2.5 3 3.5 4 1D Surrogate 2D Surrogate Stepwise - 30s Psuedo-Transient 30s
RMSE(K)
Total Accuracy
Methods Approach Results Conclusions
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0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18
1 D S u r r
a t e 2 D S u r r
a t e S t e p w i s e 3 s C H T S
v e T i m e P s u e d
r a n s i e n t 3 s
CPU-hr/sec. duration
Cycle Compute Cost
Cycle 1 Cycle 2 Cycle 3
Methods Approach Results Conclusions
0.002 0.111 0.004 0.281 0.006 0.000 0.050 0.100 0.150 0.200 0.250 0.300
1 D S u r r
a t e 2 D S u r r
a t e S t e p w i s e 3 s C H T S
v e T i m e P s u e d
r a n s i e n t 3 s
CPU-hr/sec. duration
Total Compute Cost
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Methods Approach Results Conclusions
0.5 1 1.5 2 2.5 3 3.5 4 4.5 0.0001 0.001 0.01 0.1 1
RMSE (K)
CPU-hr/sec 1D Surrogate Stepwise 30s 2D Surrogate Psuedo-Transient 30s CHT Solve Time
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Methods Approach Results Conclusions
0.5 1 1.5 2 2.5 3 3.5 4 0.0001 0.001 0.01 0.1 1
RMSE (K) CPU-hr/sec
1D Surrogate Stepwise 30s 2D Surrogate Psuedo-Transient 30s CHT Solve Time
Cycle 1
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Cycle 3
6 node average
Methods Approach Results Conclusions
Psuedo Transient Prediction – Temperature
300 320 340 360 380 400 420 500 1000 1500 2000 2500 3000 3500
Temperature (K) Time (s)
CHT Psuedo-Transient 30s Psuedo-Transient 60s Psuedo-Transient 120s Psuedo-Transient Manual
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Methods Approach Results Conclusions
2.40 2.45 2.50 2.55 2.60 Psuedo-Transient 30s Psuedo-Transient 60s Psuedo-Transient 120s Psuedo-Transient Manual
RMSE (K)
Manifold
Cycle 3
6 node average
2.70 2.72 2.74 2.76 2.78 2.80 2.82 2.84 2.86 2.88 2.90 Psuedo-Transient 30s Psuedo-Transient 60s Psuedo-Transient 120s Psuedo-Transient Manual
RMSE (K)
Top Wall
Cycle 3 2.6 2.62 2.64 2.66 2.68 2.7 Psuedo-Transient 30s Psuedo-Transient 60s Psuedo-Transient 120s Psuedo-Transient Manual
RMSE(K)
Total Accuracy
55 node average
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Methods Approach Results Conclusions
2.645 2.65 2.655 2.66 2.665 2.67 2.675 2.68 20 40 60 80 100 120 140
RMSE (K) Number of Coupling Points
Cycle 2
Psuedo-Transient 30s Psuedo-Transient 60s Psuedo-Transient 120s Psuedo-Transient Manual
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Methods Approach Results Conclusions
5000 10000 15000 20000 25000 1D Surrogate Stepwise 30s Psuedo-Transient 30 sec Psuedo-Transient 60 sec Psuedo-Transient 120 sec Psuedo-Transient Manual Selection
Time (s)
Total Solve Time Sample Point Computation Time Thermal Simulation Time CFD Run Time
5 10 15 20 25 30 35 40 1000 2000 3000 4000 Speed (m/s) Time (s)
Cycle 3
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Methods Approach Results Conclusions
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Method 1 Method 2 Method 3
techsupport@thermoanalytics.com
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1.
Disch, M., Widdecke, N., Wiedemann, J., Reister, H. et al., "Numerical Simulation of the Transient Heat-Up
2.
Kaushik, S., "Thermal Management of a Vehicle's Underhood and Underbody Using Appropriate Math- Based Analytical Tools and Methodologies," SAE Technical Paper 2007-01-1395, 2007
3.
Pryor, J., Pierce, M., Fremond, E., and Michou, Y., "Development of Transient Simulation Methodologies for Underhood Hot Spot Analysis of a Truck," SAE Technical Paper 2011-01-0651, 2011
4.
Haehndel, K., Pere, A., Frank, T., Christel, F. et al., "A Numerical Investigation of Dampening Dynamic Profiles for the Application in Transient Vehicle Thermal Management Simulations," SAE Technical Paper 2014-01-0642, 2014
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