Nonlinear Processes in Geophysics

Application of Advection-Diffusion Equation for Nonlinearly Evolving Precipitation Field
Ji-Hoon Ha
Nonlin. Processes Geophys. Discuss., https//doi.org/10.5194/npg-2023-28,2024
Preprint under review for NPG (discussion: final response, 2 comments)
This study enhances precipitation modeling by addressing the interplay between advection-diffusion effects and source terms. Focused on nonlinearly evolving precipitation, we employed analytic solutions derived through the integral transform technique. Particularly, the field's growth is influenced by source term characteristics (i.e., amplitude, size, timescale) but modulated by advection and diffusion effects. These findings contribute to precipitation-associated water resource management.

Stability and uncertainty assessment of geoelectrical resistivity model parameters: a new hybrid metaheuristic algorithm and posterior probability density function approach
Kuldeep Sarkar, Jit V. Tiwari, and Upendra K. Singh
Nonlin. Processes Geophys., 31, 7–24, https://doi.org/10.5194/npg-31-7-2024, 2024
We evaluated three meta-heuristic algorithms using resistivity data. An enormous solution is assessed and the best-fitted solutions are chosen. The posterior probability density function with a 68.27 % confidence interval, a mean and posterior solution, and correlation and covariance matrix were calculated for the assessment of the uncertainty, stability, and mean model. We found that vPSOGWO provides reliable and consistently better results that are correlated well with borehole information.

Brief Communication: A modified Korteweg–de Vries equation for Rossby–Khantadze waves in a sheared zonal flow of the ionospheric E layer
Laila Zafar Kahlon, Hassan Amir Shah, Tamaz David Kaladze, Qura Tul Ain, and Syed Assad Bukhari
Nonlin. Processes Geophys., 31, 1–6, https://doi.org/10.5194/npg-31-1-2024, 2024
It is shown that sheared Rossby–Khantadze waves can propagate due to inhomogeneities, taking into account the Earth's angular velocity and the magnetic field. Along with the Hall conductivity, these waves can couple in the ionospheric E region.The novelty of the present work is the consideration of magnetic field inhomogeneity, which was not considered before and reduced our considered system of equations to a 1D modified KdV equation.

The dynamic of ion Bernstein-Greene-Kruskal holes in plasmas with regularized κ-distributed electrons
Qiu Ping Lu, Cai Ping Wu, Hui Chen, Xiao Chang Chen, and San Qiu Liu
Nonlin. Processes Geophys. Discuss., https//doi.org/10.5194/npg-2023-25,2024
Preprint under review for NPG (discussion: final response, 4 comments)
As spectral index and cut-off parameter increase, the deeper ion holes are formed and the region where the ion holes exist becomes smaller. On the contrary, the shallower ion holes are formed and the region where the ion holes exist becomes larger when spectral index and cut-off parameter decrease.

Multi-level data assimilation for simplified ocean models
Florian Beiser, Håvard Heitlo Holm, Kjetil Olsen Lye, and Jo Eidsvik
Nonlin. Processes Geophys. Discuss., https//doi.org/10.5194/npg-2023-27,2024
Revised manuscript under review for NPG (discussion: final response, 3 comments)
Efficient search-and-rescue at sea is supported by rapid forecasts of drift trajectories based on a dynamical model and data assimilation of in situ observations. The multi-level approach can accelerate computations by running models on various resolutions. This work explores the practicality of multi-level methods for realistic data assimilation applications by considering a challenging shallow-water case for the ocean dynamics.