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Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010 ©2010 by The Royal Society

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Page 1: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Black-box calibration for complex-system simulation

by Alexander I. J. Forrester

Philosophical Transactions AVolume 368(1924):3567-3579

August 13, 2010

©2010 by The Royal Society

Page 2: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

(a) Contours of the true Branin function compared with (b) a Kriging prediction based on 20 sample points (dots) (from Forrester & Keane (2008)).

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 3: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Kriging prediction of L/D based on data from 12 wind-tunnel tests.

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 4: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Kriging prediction of L/D based on data from 120 VGK simulations (figure 2 caption explains plot).

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 5: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Co-Kriging prediction of L/D based on data from 120 VGK simulations and 12 wind-tunnel tests (figure 2 caption explains the plot).

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 6: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Rear-wing design variables.

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 7: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

(a) Hill-climb race-car rear-wing geometry and (b) half-car geometry (which is used for the ‘full-car’ simulations).

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 8: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Simulated flow over a baseline rear wing in isolation.

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 9: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Simulated flow over a baseline rear wing behind the full car.

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 10: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Kriging prediction of L/D based on 20 full-car simulations.

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 11: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Kriging prediction of L/D based on 120 rear-wing simulations (figure 9 caption explains the plot).

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 12: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Co-Kriging prediction of L/D based on 10 full-car and 120 rear-wing simulations (figure 9 caption explains the plot).

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 13: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

L/D values for the 10 full-car simulations and five infill points and their rear-wing-only simulation counterparts (it is the full-car values we are minimizing).

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society

Page 14: Black-box calibration for complex-system simulation by Alexander I. J. Forrester Philosophical Transactions A Volume 368(1924):3567-3579 August 13, 2010

Alexander I. J. Forrester Phil. Trans. R. Soc. A 2010;368:3567-3579

©2010 by The Royal Society