Articles | Volume 8, issue 10
https://doi.org/10.5194/gmd-8-3007-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-8-3007-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Model description paper
| 
01 Oct 2015
Model description paper |
| 01 Oct 2015
A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1.0)
V. Bayona
CORRESPONDING AUTHOR
Institute for Mathematics Applied to Geosciences, National Center for Atmospheric Research, Boulder, CO 80305, USA
N. Flyer
Institute for Mathematics Applied to Geosciences, National Center for Atmospheric Research, Boulder, CO 80305, USA
G. M. Lucas
Department of Aerospace Engineering Sciences, University of Colorado Boulder, Boulder, CO, USA
A. J. G. Baumgaertner
Department of Aerospace Engineering Sciences, University of Colorado Boulder, Boulder, CO, USA
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Cited
31 citations as recorded by crossref.
- Medusa J. Slak & G. Kosec https://doi.org/10.1145/3450966
- Extensive layer clouds in the global electric circuit: their effects on vertical charge distribution and storage R. Harrison et al. https://doi.org/10.1098/rspa.2019.0758
- Transport schemes in spherical geometries using spline-based RBF-FD with polynomials D. Gunderman et al. https://doi.org/10.1016/j.jcp.2020.109256
- Smaller stencil preconditioners for linear systems in RBF-FD discretizations M. Koch et al. https://doi.org/10.1007/s11075-024-01835-7
- Inverse multi-quadric RBF for computing the weights of FD method: Application to American options F. Soleymani et al. https://doi.org/10.1016/j.cnsns.2018.04.011
- RBF-FD meshless optimization using direct search (GLODS) in the analysis of composite plates C. Roque & J. Madeira https://doi.org/10.1016/j.enganabound.2017.10.019
- Initial-boundary value problems for the equations of the global atmospheric electric circuit A. Kalinin & N. Slyunyaev https://doi.org/10.1016/j.jmaa.2017.01.025
- On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy N. Flyer et al. https://doi.org/10.1016/j.jcp.2016.05.026
- Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries V. Bayona et al. https://doi.org/10.1016/j.apm.2021.01.032
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs V. Bayona et al. https://doi.org/10.1016/j.jcp.2016.12.008
- Thunderstorm generators operating as voltage sources in global electric circuit models N. Slyunyaev et al. https://doi.org/10.1016/j.jastp.2018.12.013
- The DC and AC global electric circuits and climate D. Siingh et al. https://doi.org/10.1016/j.earscirev.2023.104542
- Analysis of the Diurnal Variation of the Global Electric Circuit Obtained From Different Numerical Models J. Jánský et al. https://doi.org/10.1002/2017JD026515
- Mathematical Simulation of the Ionospheric Electric Field as a Part of the Global Electric Circuit V. Denisenko et al. https://doi.org/10.1007/s10712-018-9499-6
- How Nodes Layout, Refinement and Velocity Discretization Influence Convergence of the Meshless Lattice Boltzmann Method D. Strzelczyk & M. Matyka https://doi.org/10.2139/ssrn.4070398
- Mixed convection flow through a hot porous elliptic cylinder in a cavity with two-sided lid motion: A local radial basis functions-based meshless approach J. Chowdhury & Y. Sanyasiraju https://doi.org/10.1016/j.ijthermalsci.2025.110254
- Influence of the Choice of Boundary Conditions on the Distribution of the Electric Field in Models of the Global Electric Circuit N. Denisova & A. Kalinin https://doi.org/10.1007/s11141-019-09932-7
- The representation of ionospheric potential in the global chemistry-climate model SOCOL A. Karagodin et al. https://doi.org/10.1016/j.scitotenv.2019.134172
- RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function F. Soleymani & S. Zhu https://doi.org/10.1016/j.camwa.2020.11.010
- Time-space-domain mesh-free finite difference based on least squares for 2D acoustic-wave modeling B. Li et al. https://doi.org/10.1190/geo2016-0464.1
- Study of the convergence of the Meshless Lattice Boltzmann Method in Taylor–Green, annular channel and a porous medium flows D. Strzelczyk & M. Matyka https://doi.org/10.1016/j.compfluid.2023.106122
- Numerical Solution of Heat Equation in Polar Cylindrical Coordinates by the Meshless Method of Lines A. Hussain et al. https://doi.org/10.1155/2021/8862139
- Modeling the Seasonal Dynamics of the Diurnal Variation of the Global Electric Circuit N. Ilin et al. https://doi.org/10.1134/S0001433819050086
- Determining the time constant of the global atmospheric electric circuit through modelling and observations M. Rycroft et al. https://doi.org/10.1016/j.jastp.2024.106267
- An Investigation of Radial Basis Function-Finite Difference (RBF-FD) Method for Numerical Solution of Elliptic Partial Differential Equations S. Yensiri & R. Skulkhu https://doi.org/10.3390/math5040054
- Implementation of Ionospheric Generators in the Numerical Model of the Global Electric Circuit F. Kuterin & N. Slyunyaev https://doi.org/10.1134/S0016793220060080
- Numerical Study on an RBF-FD Tangent Plane Based Method for Convection–Diffusion Equations on Anisotropic Evolving Surfaces N. Adil et al. https://doi.org/10.3390/e24070857
- Hybrid absorbing boundary condition for piecewise smooth curved boundary in 2D acoustic finite difference modelling B. Li et al. https://doi.org/10.1071/EG17012
- On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation A. Chernov https://doi.org/10.13108/2021-13-3-152
- Mixed convection and entropy generation in a lid-driven cavity with multiple porous elliptic heat sources using a local RBF-based meshfree scheme J. Chowdhury & S. Yedida https://doi.org/10.1016/j.icheatmasstransfer.2025.109633
- Anisotropic radial basis function methods for continental size ice sheet simulations G. Cheng & V. Shcherbakov https://doi.org/10.1016/j.jcp.2018.06.020
31 citations as recorded by crossref.
- Medusa J. Slak & G. Kosec https://doi.org/10.1145/3450966
- Extensive layer clouds in the global electric circuit: their effects on vertical charge distribution and storage R. Harrison et al. https://doi.org/10.1098/rspa.2019.0758
- Transport schemes in spherical geometries using spline-based RBF-FD with polynomials D. Gunderman et al. https://doi.org/10.1016/j.jcp.2020.109256
- Smaller stencil preconditioners for linear systems in RBF-FD discretizations M. Koch et al. https://doi.org/10.1007/s11075-024-01835-7
- Inverse multi-quadric RBF for computing the weights of FD method: Application to American options F. Soleymani et al. https://doi.org/10.1016/j.cnsns.2018.04.011
- RBF-FD meshless optimization using direct search (GLODS) in the analysis of composite plates C. Roque & J. Madeira https://doi.org/10.1016/j.enganabound.2017.10.019
- Initial-boundary value problems for the equations of the global atmospheric electric circuit A. Kalinin & N. Slyunyaev https://doi.org/10.1016/j.jmaa.2017.01.025
- On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy N. Flyer et al. https://doi.org/10.1016/j.jcp.2016.05.026
- Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries V. Bayona et al. https://doi.org/10.1016/j.apm.2021.01.032
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs V. Bayona et al. https://doi.org/10.1016/j.jcp.2016.12.008
- Thunderstorm generators operating as voltage sources in global electric circuit models N. Slyunyaev et al. https://doi.org/10.1016/j.jastp.2018.12.013
- The DC and AC global electric circuits and climate D. Siingh et al. https://doi.org/10.1016/j.earscirev.2023.104542
- Analysis of the Diurnal Variation of the Global Electric Circuit Obtained From Different Numerical Models J. Jánský et al. https://doi.org/10.1002/2017JD026515
- Mathematical Simulation of the Ionospheric Electric Field as a Part of the Global Electric Circuit V. Denisenko et al. https://doi.org/10.1007/s10712-018-9499-6
- How Nodes Layout, Refinement and Velocity Discretization Influence Convergence of the Meshless Lattice Boltzmann Method D. Strzelczyk & M. Matyka https://doi.org/10.2139/ssrn.4070398
- Mixed convection flow through a hot porous elliptic cylinder in a cavity with two-sided lid motion: A local radial basis functions-based meshless approach J. Chowdhury & Y. Sanyasiraju https://doi.org/10.1016/j.ijthermalsci.2025.110254
- Influence of the Choice of Boundary Conditions on the Distribution of the Electric Field in Models of the Global Electric Circuit N. Denisova & A. Kalinin https://doi.org/10.1007/s11141-019-09932-7
- The representation of ionospheric potential in the global chemistry-climate model SOCOL A. Karagodin et al. https://doi.org/10.1016/j.scitotenv.2019.134172
- RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function F. Soleymani & S. Zhu https://doi.org/10.1016/j.camwa.2020.11.010
- Time-space-domain mesh-free finite difference based on least squares for 2D acoustic-wave modeling B. Li et al. https://doi.org/10.1190/geo2016-0464.1
- Study of the convergence of the Meshless Lattice Boltzmann Method in Taylor–Green, annular channel and a porous medium flows D. Strzelczyk & M. Matyka https://doi.org/10.1016/j.compfluid.2023.106122
- Numerical Solution of Heat Equation in Polar Cylindrical Coordinates by the Meshless Method of Lines A. Hussain et al. https://doi.org/10.1155/2021/8862139
- Modeling the Seasonal Dynamics of the Diurnal Variation of the Global Electric Circuit N. Ilin et al. https://doi.org/10.1134/S0001433819050086
- Determining the time constant of the global atmospheric electric circuit through modelling and observations M. Rycroft et al. https://doi.org/10.1016/j.jastp.2024.106267
- An Investigation of Radial Basis Function-Finite Difference (RBF-FD) Method for Numerical Solution of Elliptic Partial Differential Equations S. Yensiri & R. Skulkhu https://doi.org/10.3390/math5040054
- Implementation of Ionospheric Generators in the Numerical Model of the Global Electric Circuit F. Kuterin & N. Slyunyaev https://doi.org/10.1134/S0016793220060080
- Numerical Study on an RBF-FD Tangent Plane Based Method for Convection–Diffusion Equations on Anisotropic Evolving Surfaces N. Adil et al. https://doi.org/10.3390/e24070857
- Hybrid absorbing boundary condition for piecewise smooth curved boundary in 2D acoustic finite difference modelling B. Li et al. https://doi.org/10.1071/EG17012
- On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation A. Chernov https://doi.org/10.13108/2021-13-3-152
- Mixed convection and entropy generation in a lid-driven cavity with multiple porous elliptic heat sources using a local RBF-based meshfree scheme J. Chowdhury & S. Yedida https://doi.org/10.1016/j.icheatmasstransfer.2025.109633
- Anisotropic radial basis function methods for continental size ice sheet simulations G. Cheng & V. Shcherbakov https://doi.org/10.1016/j.jcp.2018.06.020
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