Abstract
A global magnetohydrodynamic (MHD) model describes the solar-terrestrial system and the physical processes that live in it. Information obtained from satellites provides input to MHD model to compose a more realistic initial state for the equations and, therefore, more accurate simulations. However, the use of high resolution in time data can produce numerical instabilities that quickly interrupt the simulations. Moreover, satellite time series may have gaps which could be a problem in this context. In order to contribute to the overcoming of such challenges, we propose in this work a methodology based on a variant of the continuous wavelet transform to introduce environmental satellite data on the global resistive MHD model originally developed by Prof. Ogino at the University of Nagoya. Our methodology uses a simplified time-scale version of the original data that preserves the most important spectral features of the phenomena of interest. Then, we can do a long-term integration using this MHD model without any computational instability, while preserving the main time-scale features of the original data set and even overcome possible occurrence of gaps on the satellite data. This methodology also contributes to keeping more realistic physical results.
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References
J.P. Antoine, R. Murenzi, P. Vandergheynst, S.T. Ali. Two-Dimensional Wavelets and Their Relatives (Cambridge University, Cambridge, 2008)
S.H. Brecht, J.G. Lyon, J.A. Fedder, K. Hain, J. Geophys. Res. 87, 6098 (1982)
S.H. Brecht, J.G. Lyon, J.A. Fedder, K. Hain, Geophys. Res. Lett. 8, 397–400 (1981)
W.H. Campbell, Introduction to Geomagnetic Fields (Cambridge, New York, 2003)
I.A. Daglis (ed.), Effects of Space Weather on Technology Infrastructure (Kluwer Academics, Dordrecht, 2004)
M.O. Domingues, O. Mendes, M.K. Kaibara, E. Bernardes, Rev. Bras. Ensino Fís. 38, 3 (2016)
M.O. Domingues, O. Mendes, A.M. da Costa, Adv. Space Res. 35(5), 831–842 (2005)
M. Farge, Annu. Rev. Fluid Mech. 24, 395–457 (1992)
J.A. Fedder, S.P. Slinker, J.G. Lyon, R.D. Elphinstorne, J. Geophys. Res. 100, 19083–19093 (1995)
P. Frick, S.L. Baliunas, D. Galyagln, D. Sokoloff, W. Soon, Astrophys. J. 483, 426 (1997)
W.D. Gonzalez, F.L. Guarnieri, A.L. Clua-Gonzalez, E. Echer, M.V. Alves, T. Ogino, B.T. Tsurutani, Vol. 167. (2006)
D. Gubbins, Time Series Analysis and Inverse Theory for Geophysicists (Cambridge University, Cambridge, 2004)
M.G. Kivelson, C.T. Russell (eds.), Introduction to Space Physics (Cambridge, New York, 1996)
J.N. Leboeuf, T. Tajima, C.F. Kennel, J.M. Dawson, Geophys. Res. Lett. 8, 257 (1981)
J.N. Leboeuf, T. Tajima, C.F. Kennel, J.M. Dawson, Geophys. Res. Lett. 5, 609 (1978)
L.R. Lyon, J. Geophys. Res. 103, 14781–14785 (1998)
J.G. Lyon, J.A. Fedder, J.D. Huba, J. Geophys. Res. 91, 8057 (1986)
J.G. Lyon, S.H. Brecht, J.D. Huba, J.A. Fedder, P.J. Palmadesso, Phys. Rev. Lett. 46, 1038–1041 (1981)
J.G. Lyon, S.H. Brecht, J.A. Fedder, P.J. Palmadesso, Geophys. Res. Lett. 7, 712 (1980)
O. Mendes, M.O. Domingues, A.M. da Costa, Adv. Space Res. 35(5), 812–828 (2005)
T. Ogino, R.J. Walker, M. Ashour-Abdalla, IEEE Trans. Plasma Sci. 20(6), 817 (1992)
T. Ogino, J. Geophys. Res. 91, 6791 (1986)
T. Ogino, R.J. Walker, M. Ashour-Abdalla, J.M. Dawson, J. Geophys. Res. 90, 10835–10842 (1985)
K.S. Park, T. Ogino, Earth Planets Space. 58, 633–643 (2006)
J. Raeder, R.L. McPherron, L.A. Frank, S. Kokubun, G. Lu, T. Mukai, W.R. Paterson, J.B. Sigwarth, H.J. Singer, J.A. Slavin, J. Geophys. Res. 106, 381–395 (2001)
J. Raeder, J. Berchem, M. Ashour-Abdalla, J. Geophys. Res. 103, 14787–14797 (1998)
J. Skála, F. Baruffa, J. Büchner, M. Rampp, A&A. A48, 580 (2015)
K. Scherer, H. Fichtner, B. Heber, U. Mall (eds.), Space Weather The physics Behind a Slogan (Springer, New York, 2005)
T. Strutz. Data Fitting and Uncertainty (A Practical Introduction to Weighted Least Squares and Beyond) (Springer, New York, 2016)
B.T. Tsurutani, W.D. Gonzalez, Planet. Space Sci. 35, 405 (1987)
U.-H. Wong, H.-C. Wong, Y. Ma, Comput. Phys. Commun. 185(1), 144–152 (2014)
C.C. Wu, J. Geophys. Res. 89, 12 (1984)
C.C. Wu, Geophys. Res. Lett. 10, 545 (1983)
C.C. Wu, R.J. Walker, J.M. Dawson, Geophys. Res. Lett. 8, 523 (1981)
Acknowledgments
The authors thank to CNPq (306038/2015 − 34 and 312246/2013 − 7), FAPESP (2015/25624 − 2), and FINEP/CTINFRA (01120527 − 00) projects by the financial support; LAC/CTE and DGE/CEA, Embrace Program at INPE, by the scientific environment and computational facilities. MSL and MOD thank to MCTIC/INPE (project 454779/2015-1 and 170073/2016-5) and TWAS-CNPq sandwich PhD program by the MSL visiting scholarships. VEM and OM thank to MCTIC/INPE (project 454779/2015-1 and 170085/2016-3) by the VEM visiting scholarship. Authors also thank to the OMNIweb data service team by the data sets, to Prof. Dr. T. Ogino from University of Nagoya, Japan, by the 3D-MHD code and discussions that motivated this work, and to Prof. Dr. P. Frick from University of Perm, Russia, by the gaped wavelet code and discussions on signal treatments and the reviser for the pertinent comments that help in the improvement of the text. MSL thanks also A. K. F. Gomes, Dr. E. Evangelista,M.Moreira Lopes, and L.Magrini for the scientific discussions that improved the present work.
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Lorenzo, M.S., Domingues, M.O., Mecías, A.L. et al. On the Use of Space-Environmental Satellite Data for Global Magnetohydrodynamic Simulations. Braz J Phys 46, 703–713 (2016). https://doi.org/10.1007/s13538-016-0464-x
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DOI: https://doi.org/10.1007/s13538-016-0464-x