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Emulating and calibrating the multiple‐fidelity Lyon–Fedder–Mobarry magnetosphere–ionosphere coupled computer model
Author(s) -
Heaton Matthew J.,
Kleiber William,
Sain Stephan R.,
Wiltberger Michael
Publication year - 2015
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/rssc.12064
Subject(s) - earth's magnetic field , ionosphere , field (mathematics) , magnetosphere , set (abstract data type) , algorithm , computer science , geophysics , physics , mathematics , magnetic field , quantum mechanics , pure mathematics , programming language
Summary The Lyon–Fedder–Mobarry global magnetosphere–ionosphere coupled model LFM‐MIX is used to study Sun–Earth interactions by simulating geomagnetic storms. This work focuses on relating the multifidelity output from LFM‐MIX to field observations of ionospheric conductance. Given a set of input values and solar wind data, LFM‐MIX numerically solves the magnetohydrodynamic equations and outputs a bivariate spatiotemporal field of ionospheric energy and flux. Of particular interest here are LFM‐MIX input settings required to match corresponding output with field observations. To estimate these input settings, a multivariate spatiotemporal statistical LFM‐MIX emulator is constructed. The statistical emulator leverages the multiple fidelities such that the less computationally demanding yet lower fidelity LFM‐MIX is used to provide estimates of the higher fidelity output. The higher fidelity LFM‐MIX output is then used for calibration by using additive and non‐linear discrepancy functions.