González Tabernero, Víctor; Castro, Manuel J.; García-Rodríguez, J. A. High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms. (English) Zbl 07833974 Appl. Math. Comput. 469, Article ID 128528, 21 p. (2024). MSC: 65M08 × Cite Format Result Cite Review PDF Full Text: DOI
Carlino, Michele Giuliano; Gaburro, Elena Well balanced finite volume schemes for shallow water equations on manifolds. (English) Zbl 1511.76060 Appl. Math. Comput. 441, Article ID 127676, 25 p. (2023). MSC: 76M12 65M08 65M06 74S20 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Ruigang; Liu, Quansheng; Yang, Liangui Semi-analytical and numerical study on equatorial Rossby solitary waves under non-traditional approximation. (English) Zbl 1513.76159 Zeidan, Dia (ed.) et al., Numerical fluid dynamics. Methods and computations. Singapore: Springer. Forum Interdiscip. Math., 69-92 (2022). MSC: 76U65 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Toghraei, Iman; Billant, Paul Dynamics of a stratified vortex under the complete Coriolis force: two-dimensional three-components evolution. (English) Zbl 1515.76160 J. Fluid Mech. 950, Paper No. A29, 36 p. (2022). MSC: 76U60 76D17 76E20 76M45 76M22 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Paldor, Nathan; Shamir, Ofer; Garfinkel, Chaim. I. Barotropic instability of a zonal jet on the sphere: from non-divergence through quasi-geostrophy to shallow water. (English) Zbl 1482.76136 Geophys. Astrophys. Fluid Dyn. 115, No. 1, 15-34 (2021). MSC: 76U60 76E20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Singh, Ankit; Deepu, P. Effect of Coriolis force on the linear stability of subaqueous dunes with erodible and non-erodible beds. (English) Zbl 07413650 Phys. Lett., A 419, Article ID 127745, 10 p. (2021). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Khakimzyanov, Gayaz; Dutykh, Denys; Fedotova, Zinaida Dispersive shallow water wave modelling. III: Model derivation on a globally spherical geometry. (English) Zbl 1488.76017 Commun. Comput. Phys. 23, No. 2, 315-360 (2018). MSC: 76B15 76B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kloosterziel, R. C.; Carnevale, G. F.; Orlandi, P. Equatorial inertial instability with full Coriolis force. (English) Zbl 1374.86012 J. Fluid Mech. 825, 69-108 (2017). MSC: 86A05 76U05 76E30 × Cite Format Result Cite Review PDF Full Text: DOI
Yano, Jun-Ichi Inertio-gravity waves under the non-traditional \(f\)-plane approximation: singularity in the large-scale limit. (English) Zbl 1383.76166 J. Fluid Mech. 810, 475-488 (2017). MSC: 76E20 76U05 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Tort, Marine; Ribstein, Bruno; Zeitlin, Vladimir Symmetric and asymmetric inertial instability of zonal jets on the \(f\)-plane with complete Coriolis force. (English) Zbl 1338.76129 J. Fluid Mech. 788, 274-302 (2016). MSC: 76U05 × Cite Format Result Cite Review PDF Full Text: DOI