Preprints
https://doi.org/10.5194/gmd-2021-122
https://doi.org/10.5194/gmd-2021-122

Submitted as: model description paper 27 May 2021

Submitted as: model description paper | 27 May 2021

Review status: this preprint is currently under review for the journal GMD.

UBER v1.0: A universal kinetic equation solver for radiation belts

Liheng Zheng1, Lunjin Chen1, Anthony A. Chan2, Peng Wang3, Zhiyang Xia1, and Xu Liu1 Liheng Zheng et al.
  • 1William B. Hanson Center for Space Sciences, Department of Physics, University of Texas at Dallas, Richardson, Texas, USA
  • 2Department of Physics and Astronomy, Rice University, Houston, Texas, USA
  • 3Department of Earth, Planetary and Space Sciences, University of California at Los Angeles, Los Angeles, California, USA

Abstract. Recent proceedings in the radiation belt studies have proposed new requirements for numerical methods to solve the kinetic equations involved. In this article, we present a numerical solver that can solve the general form of radiation belt Fokker-Planck equation and Boltzmann equation in arbitrarily provided coordinate systems, and with user-specified boundary geometry, boundary conditions, and equation terms. The solver is based upon the mathematical theory of stochastic differential equations, whose computational accuracy and efficiency are greatly enhanced by specially designed adaptive algorithms and variance reduction technique. The versatility and robustness of the solver is exhibited in three example problems. The solver applies to a wide spectrum of radiation belt modeling problems, including the ones featuring non-diffusive particle transport such as that arises from nonlinear wave-particle interactions.

Liheng Zheng et al.

Status: open (until 22 Jul 2021)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse

Liheng Zheng et al.

Data sets

UBER v1.0: A universal kinetic equation solver for radiation belts Liheng Zheng, Lunjin Chen, Anthony A. Chan, Peng Wang, Zhiyang Xia, Xu Liu https://doi.org/10.5281/zenodo.4686050

Model code and software

zheng-lh/UBER: First release of UBER Liheng Zheng https://doi.org/10.5281/zenodo.4671646

Liheng Zheng et al.

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Short summary
Earth’s Van Allen belts are studied by solving a particular kind of equations that could be notoriously difficult when different physical processes are acting together. In this article, we describe a numerical code that can solve these equations with unprecedented freedom from the numerous restrictions of existing models, even the ones that no other can solve. The abilities of our code could mean a breakthrough of Van Allen belt studies from the diffusive into the non-diffusive transport regime.