International Journal of Research and Scientific Innovation (IJRSI)
Glimm Scheme and Operator Splitting for Simulating Radial Transport of a Pollutant in an Atmosphere
Published February 18, 2026 • Vol. 13, Issue 1, pp. 2433–2440Open Access
DOI: 10.51244/IJRSI.2026.13010215
Abstract
Aiming to describe transport phenomena in an atmosphere containing a pollutant, assuming radial transport of the pollutant and the atmosphere as an ideal isothermal gas, this work yields a nonlinear hyperbolic system of three partial differential equations that represent mass and momentum conservation for the air-pollutant mixture and the pollutant mass balance. The hyperbolic nature of the system demands a numerical method capable of handling discontinuities. In this context, Glimm's scheme is naturally chosen for the numerical simulation, combined with an operator-splitting technique to account for the non-homogeneous portion of the operator, arising naturally from the problem's spherical geometry.
Keywords: Glimm Scheme, Operator, Splitting, Simulating, Radial Transport, Pollutant
| Journal | International Journal of Research and Scientific Innovation (IJRSI) |
|---|---|
| ISSN | 2321-2705 |
| Volume / Issue | Volume 13, Issue 1 |
| Pages | 2433–2440 |
| Publication date | February 18, 2026 |
| DOI | 10.51244/IJRSI.2026.13010215 |
| Publisher | RSIS International |
| License | Open Access |
How to cite this article
Rogério M. Saldanha da Gama, & Maria Laura Martins-Costa (2026). Glimm Scheme and Operator Splitting for Simulating Radial Transport of a Pollutant in an Atmosphere. International Journal of Research and Scientific Innovation (IJRSI), 13(1), 2433-2440. https://doi.org/10.51244/IJRSI.2026.13010215
BibTeX
@article{Rogrio2026,
title = {Glimm Scheme and Operator Splitting for Simulating Radial Transport of a Pollutant in an Atmosphere},
author = {Rogério M. Saldanha da Gama and Maria Laura Martins-Costa},
journal = {International Journal of Research and Scientific Innovation (IJRSI)},
volume = {13},
number = {1},
pages = {2433--2440},
year = {2026},
doi = {10.51244/IJRSI.2026.13010215},
publisher = {RSIS International}
}