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      The Structure of the Large-Scale Heliosphere as Seen by Current Models

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          Abstract

          This review summarizes the current state of research aiming at a description of the global heliosphere using both analytical and numerical modeling efforts, particularly in view of the overall plasma/neutral flow and magnetic field structure, and its relation to energetic neutral atoms. Being part of a larger volume on current heliospheric research, it also lays out a number of key concepts and describes several classic, though still relevant early works on the topic. Regarding numerical simulations, emphasis is put on magnetohydrodynamic (MHD), multi-fluid, kinetic-MHD, and hybrid modeling frameworks. Finally, open issues relating to the physical relevance of so-called “croissant” models of the heliosphere, as well as the general (dis)agreement of model predictions with observations are highlighted and critically discussed.

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          A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics

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            The Angular Momentum of the Solar Wind

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              Adaptive numerical algorithms in space weather modeling

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                Author and article information

                Contributors
                jk@tp4.rub.de
                kdialynas@phys.uoa.gr
                federico.fraternale@uah.edu
                andre.galli@space.unibe.ch
                jacob.heerikhuisen@waikato.ac.nz
                izmod@iki.rssi.ru
                kmarc@bu.edu
                mopher@bu.edu
                np0002@uah.edu
                Journal
                Space Sci Rev
                Space Sci Rev
                Space Science Reviews
                Springer Netherlands (Dordrecht )
                0038-6308
                1572-9672
                31 May 2022
                31 May 2022
                2022
                : 218
                : 4
                : 36
                Affiliations
                [1 ]GRID grid.5570.7, ISNI 0000 0004 0490 981X, Theoretische Physik IV, , Ruhr-Universität Bochum, ; 44780 Bochum, Germany
                [2 ]GRID grid.417593.d, ISNI 0000 0001 2358 8802, Office of Space Research and Technology, , Academy of Athens, ; 10679 Athens, Greece
                [3 ]GRID grid.265893.3, ISNI 0000 0000 8796 4945, Center for Space Plasma and Aeronomic Research, , University of Alabama in Huntsville, ; Huntsville, AL 35899 USA
                [4 ]GRID grid.5734.5, ISNI 0000 0001 0726 5157, University of Bern, ; Bern, Switzerland
                [5 ]GRID grid.49481.30, ISNI 0000 0004 0408 3579, Department of Mathematics and Statistics, , University of Waikato, ; Hamilton, 3240 New Zealand
                [6 ]GRID grid.14476.30, ISNI 0000 0001 2342 9668, Moscow Center of Fundamental and Applied Mathematics, , Lomonosov Moscow State University, ; Moscow, Russia
                [7 ]GRID grid.426428.e, ISNI 0000 0004 0405 8736, Space Research Institute (IKI) of Russian Academy of Sciences, ; Moscow, Russia
                [8 ]GRID grid.189504.1, ISNI 0000 0004 1936 7558, Astronomy Department, , Boston University, ; Boston, MA 02215 USA
                [9 ]GRID grid.38142.3c, ISNI 000000041936754X, Radcliffe Institute for Advanced Study at Harvard University, ; Cambridge, MA USA
                Author information
                http://orcid.org/0000-0001-6122-9376
                http://orcid.org/0000-0002-5231-7929
                http://orcid.org/0000-0002-4700-2762
                http://orcid.org/0000-0003-2425-3793
                http://orcid.org/0000-0001-7867-3633
                http://orcid.org/0000-0002-1748-0982
                http://orcid.org/0000-0002-3479-1766
                http://orcid.org/0000-0002-8767-8273
                http://orcid.org/0000-0002-6409-2392
                Article
                902
                10.1007/s11214-022-00902-6
                9156516
                1dc92fc3-d40a-4eae-8734-e9942034ffa2
                © The Author(s) 2022

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 2 February 2022
                : 6 May 2022
                Funding
                Funded by: FundRef http://dx.doi.org/10.13039/501100001659, Deutsche Forschungsgemeinschaft;
                Award ID: FI 706/23-1
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/100000104, National Aeronautics and Space Administration;
                Award ID: NAS597271, NNX07AJ69G, NNN06AA01C
                Award ID: 80NSSC19K0260,80NSSC18K1649, 80NSSC18K1212
                Award ID: 80NSSC19K0260, 80NSSC18K1649, 80NSSC18K1212
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/100000001, National Science Foundation;
                Award ID: PHY-2010450
                Award ID: 2031611
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/501100008982, National Science Foundation;
                Award ID: 2031611
                Award Recipient :
                Funded by: Ruhr-Universität Bochum (1007)
                Categories
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                © Springer Nature B.V. 2022

                heliosphere,analytical,numerical,modeling
                heliosphere, analytical, numerical, modeling

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