Articles | Volume 14, issue 2
https://doi.org/10.5194/gmd-14-859-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-14-859-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Development and technical paper
| 
10 Feb 2021
Development and technical paper |
| 10 Feb 2021
| 10 Feb 2021
Azimuthal averaging–reconstruction filtering techniques for finite-difference general circulation models in spherical geometry
Tong Dang
CAS Key Laboratory of Geospace Environment, School of Earth and Space Sciences, University of Science and Technology of China, Hefei, China
Mengcheng National Geophysical Observatory, University of Science and Technology of China, Hefei, China
CAS Center for Excellence in Comparative Planetology, Hefei, China
High Altitude Observatory, National Center for Atmospheric Research, Boulder, CO, USA
Binzheng Zhang
Department of Earth Sciences, the University of Hong Kong, Pokfulam, Hong Kong SAR, China
High Altitude Observatory, National Center for Atmospheric Research, Boulder, CO, USA
Jiuhou Lei
CORRESPONDING AUTHOR
CAS Key Laboratory of Geospace Environment, School of Earth and Space Sciences, University of Science and Technology of China, Hefei, China
Mengcheng National Geophysical Observatory, University of Science and Technology of China, Hefei, China
CAS Center for Excellence in Comparative Planetology, Hefei, China
Wenbin Wang
High Altitude Observatory, National Center for Atmospheric Research, Boulder, CO, USA
Alan Burns
High Altitude Observatory, National Center for Atmospheric Research, Boulder, CO, USA
Han-li Liu
High Altitude Observatory, National Center for Atmospheric Research, Boulder, CO, USA
Kevin Pham
High Altitude Observatory, National Center for Atmospheric Research, Boulder, CO, USA
Kareem A. Sorathia
Applied Physics Laboratory, Johns Hopkins University, Laurel, MD, USA
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Cited
23 citations as recorded by crossref.
- Altitude Extension of the NCAR‐TIEGCM (TIEGCM‐X) and Evaluation Y. Cai et al. 10.1029/2022SW003227
- Ionospheric Electrodynamic Response to Solar Flares in September 2017 J. Chen et al. 10.1029/2021JA029745
- The Role of Diffuse Electron Precipitation in the Formation of Subauroral Polarization Streams D. Lin et al. 10.1029/2021JA029792
- Ionospheric Investigations Conducted by Chinese Mainland Scientists in 2020–2021 L. LIU et al. 10.11728/cjss2022.04.yg13
- Interplanetary Control of High‐Latitude Thermospheric Winds: Results From HIWIND and Model Simulations Y. Tan et al. 10.1029/2022JA030394
- Statistical models of the variability of plasma in the topside ionosphere: 2. Performance assessment L. Spogli et al. 10.1051/swsc/2024003
- Strategic Study for the Development of Space Physics C. WANG et al. 10.11728/cjss2023.01.yg01
- Multiresolution Data Assimilation for Auroral Energy Flux and Mean Energy Using DMSP SSUSI, THEMIS ASI, and An Empirical Model H. Wu et al. 10.1029/2022SW003146
- Thermospheric Density Perturbations Produced by Traveling Atmospheric Disturbances During August 2005 Storm K. Pham et al. 10.1029/2021JA030071
- Satellite In Situ Electron Density Observations of the Midlatitude Storm Enhanced Density on the Noon Meridional Plane in the F Region During the 20 November 2003 Magnetic Storm C. Lin et al. 10.1029/2021JA029831
- The Response of Geomagnetic Daily Variation and Ionospheric Currents to the Annular Solar Eclipse on 21 June 2020 X. Liu et al. 10.1029/2022JA030494
- Origin of Dawnside Subauroral Polarization Streams During Major Geomagnetic Storms D. Lin et al. 10.1029/2022AV000708
- Global Effects of a Polar Solar Eclipse on the Coupled Magnetosphere‐Ionosphere System X. Chen et al. 10.1029/2021GL096471
- Ameliorating the Courant-Friedrichs-Lewy condition in spherical coordinates: A double FFT filter method for general relativistic MHD in dynamical spacetimes L. Ji et al. 10.1103/PhysRevD.108.104005
- Understanding Strong Neutral Vertical Winds and Ionospheric Responses to the 2015 St. Patrick's Day Storm Using TIEGCM Driven by Data‐Assimilated Aurora and Electric Fields X. Lu et al. 10.1029/2022SW003308
- Ionosphere variability II: Advances in theory and modeling I. Tsagouri et al. 10.1016/j.asr.2023.07.056
- Gradient calculation techniques for multi-point ionosphere/thermosphere measurements from GDC H. Akbari et al. 10.3389/fspas.2024.1231840
- Azimuthal averaging–reconstruction filtering techniques for finite-difference general circulation models in spherical geometry T. Dang et al. 10.5194/gmd-14-859-2021
- Three‐Dimensional Ionospheric Evolution and Asymmetry of the Electron Density Depletion Generated by the 21 June 2020 Annular Solar Eclipse C. Zhai et al. 10.1029/2023JA031725
- Investigation of the Gradient Drift Instability as a Cause of Density Irregularities in Subauroral Polarization Streams C. Rathod et al. 10.1029/2020JA029027
- Modeling the dominance of the gradient drift or Kelvin–Helmholtz instability in sheared ionospheric E × B flows C. Rathod et al. 10.1063/5.0047807
- A Numerical Investigation on the Formation of the Stalling of the Cross‐Polar Jet in Midnight Thermospheric Winds Y. Tan et al. 10.1029/2023JA031489
- Unveiling the Space Weather During the Starlink Satellites Destruction Event on 4 February 2022 T. Dang et al. 10.1029/2022SW003152
23 citations as recorded by crossref.
- Altitude Extension of the NCAR‐TIEGCM (TIEGCM‐X) and Evaluation Y. Cai et al. 10.1029/2022SW003227
- Ionospheric Electrodynamic Response to Solar Flares in September 2017 J. Chen et al. 10.1029/2021JA029745
- The Role of Diffuse Electron Precipitation in the Formation of Subauroral Polarization Streams D. Lin et al. 10.1029/2021JA029792
- Ionospheric Investigations Conducted by Chinese Mainland Scientists in 2020–2021 L. LIU et al. 10.11728/cjss2022.04.yg13
- Interplanetary Control of High‐Latitude Thermospheric Winds: Results From HIWIND and Model Simulations Y. Tan et al. 10.1029/2022JA030394
- Statistical models of the variability of plasma in the topside ionosphere: 2. Performance assessment L. Spogli et al. 10.1051/swsc/2024003
- Strategic Study for the Development of Space Physics C. WANG et al. 10.11728/cjss2023.01.yg01
- Multiresolution Data Assimilation for Auroral Energy Flux and Mean Energy Using DMSP SSUSI, THEMIS ASI, and An Empirical Model H. Wu et al. 10.1029/2022SW003146
- Thermospheric Density Perturbations Produced by Traveling Atmospheric Disturbances During August 2005 Storm K. Pham et al. 10.1029/2021JA030071
- Satellite In Situ Electron Density Observations of the Midlatitude Storm Enhanced Density on the Noon Meridional Plane in the F Region During the 20 November 2003 Magnetic Storm C. Lin et al. 10.1029/2021JA029831
- The Response of Geomagnetic Daily Variation and Ionospheric Currents to the Annular Solar Eclipse on 21 June 2020 X. Liu et al. 10.1029/2022JA030494
- Origin of Dawnside Subauroral Polarization Streams During Major Geomagnetic Storms D. Lin et al. 10.1029/2022AV000708
- Global Effects of a Polar Solar Eclipse on the Coupled Magnetosphere‐Ionosphere System X. Chen et al. 10.1029/2021GL096471
- Ameliorating the Courant-Friedrichs-Lewy condition in spherical coordinates: A double FFT filter method for general relativistic MHD in dynamical spacetimes L. Ji et al. 10.1103/PhysRevD.108.104005
- Understanding Strong Neutral Vertical Winds and Ionospheric Responses to the 2015 St. Patrick's Day Storm Using TIEGCM Driven by Data‐Assimilated Aurora and Electric Fields X. Lu et al. 10.1029/2022SW003308
- Ionosphere variability II: Advances in theory and modeling I. Tsagouri et al. 10.1016/j.asr.2023.07.056
- Gradient calculation techniques for multi-point ionosphere/thermosphere measurements from GDC H. Akbari et al. 10.3389/fspas.2024.1231840
- Azimuthal averaging–reconstruction filtering techniques for finite-difference general circulation models in spherical geometry T. Dang et al. 10.5194/gmd-14-859-2021
- Three‐Dimensional Ionospheric Evolution and Asymmetry of the Electron Density Depletion Generated by the 21 June 2020 Annular Solar Eclipse C. Zhai et al. 10.1029/2023JA031725
- Investigation of the Gradient Drift Instability as a Cause of Density Irregularities in Subauroral Polarization Streams C. Rathod et al. 10.1029/2020JA029027
- Modeling the dominance of the gradient drift or Kelvin–Helmholtz instability in sheared ionospheric E × B flows C. Rathod et al. 10.1063/5.0047807
- A Numerical Investigation on the Formation of the Stalling of the Cross‐Polar Jet in Midnight Thermospheric Winds Y. Tan et al. 10.1029/2023JA031489
- Unveiling the Space Weather During the Starlink Satellites Destruction Event on 4 February 2022 T. Dang et al. 10.1029/2022SW003152
Latest update: 03 Nov 2025
Short summary
This paper describes a numerical treatment (ring average) to relax the time step in finite-difference schemes when using spherical and cylindrical coordinates with axis singularities. The ring average is used to develop a high-resolution thermosphere–ionosphere coupled community model. The technique is a significant improvement in space weather modeling capability, and it can also be adapted to more general finite-difference solvers for hyperbolic equations in spherical and polar geometries.
This paper describes a numerical treatment (ring average) to relax the time step in...
