شبیه‌سازی عددی مستقیم چرخش اقیانوسی شبه‌ژئوستروفیک یک ‎لایه

1. Stewart, R. H. “Introduction to physical oceanography”, Oceanography, Texas A&M University Libraries, 2008.
2. Plata, L., Filonov, A., Tereshchenko, I., Nelly, L., Monzón, C., Avalos, D., and Vargas, C. “Geostrophic currents in the presence of an internal waves field in Bahía de Banderas, México”, e-Gnosis., Vol. 4. No. 18, 2006. Doi: 10.7773/cm.v33i2.1013
3. Reid, J. L., and Mantyla, A. W. “The effect of the geostrophic flow upon coastal sea elevations in the northern North Pacific Ocean”, J. Geophys. Res. Vol. 81, No. 18, pp. 3100-3110, 1976. Doi: 10.1029/jc081i018p03100
4. Edwards, T. K., Smith, L. M., and Stechmann, S. N., “Spectra of atmospheric water in precipitating quasi-geostrophic turbulence”, Geophys. Astro. Fluid. Vol. 114, No. 6, pp.715-741, 2020. Doi: 10.1080/03091929.2019.1692205
5. Arakawa, A., “Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part I”, J. Comput. Phys. Vol. 135, No. 2, pp.103-114, 1997. Doi: 10.1006/jcph.1997.5697
6. Lilly, D. K., “On the computational stability of numerical solutions of time-dependent non-linear geophysical fluid dynamics problems”, Mon. Weather. Rev. Vol. 93, No. 1, pp.11-25, 1965. Doi: 0493(1965)093%3C0011:otcson%3E2.3.co;2
7. Edwards, T. K., Smith, L. M., and Stechmann, S. N., “Spectra of atmospheric water in precipitating quasi-geostrophic turbulence”, Geophys. Astro. Fluid. Vol. 114, No. 6, pp.715-741, 2020. Doi: 10.1080/03091929.2019.1692205
8. Barbi, G., Capacci, D., Chierici, A., Chirco, L. Giovacchini, V., and Manservisi, S., “A numerical approach to the fractional Laplacian operator with applications to quasi-geostrophic flows”, J. Phys. pp.012013, 2022. Doi: 10.1088/1742-6596/2177/1/012013
9. Rahman, S. M., San, O. and Rasheed, A., “A hybrid approach for model order reduction of barotropic quasi-geostrophic turbulence”, Fluids. Vol. 3, No. 4, pp.86, 2018. Doi: 10.3390/fluids3040086
10. Williamson, D. L., “Integration of the barotropic vorticity equation on a spherical geodesic grid”, Tellus. Vol. 20, No. 4, pp.642-653, 1968. Doi: 10.1111/j.2153-3490.1968.tb00406.x
11. Li, Y., and Chao, J., “Preferred equilibrium solutions of the barotropic vorticity equation”, Theor. Appl. Climatol. Vol. 141, No. 1-2, pp.433-441, 2020. Doi: 10.1007/s00704-020-03232-1
12. Abd-el-Malek, M. B., and Amin, A. M., “Lie group method for solving viscous barotropic vorticity equation in ocean climate models”, Computer Math. Appl. Vol. 75, No. 4, pp.1443-1461, 2018. Doi: 10.1016/j.camwa.2017.11.016
13. Mou, C., Wang, Z., Wells, D. R., Xie., and X. Iliescu, T., “Reduced order models for the quasi-geostrophic equations: A brief survey”, Fluids, Vol. 6, No. 1, pp.16, 2020. Doi: 10.3390/fluids6010016
14. Jamal, S., “New multipliers of the barotropic vorticity equations”, Anal. Math. Phys. Vol. 10, No. 2, pp.21, 2020. doi: 10.1007/s13324-020-00365-4
15. Maulik, R., and San, O., “Dynamic modeling of horizontal eddy viscosity coefficient for quasigeostrophic ocean circulation problems”, J. Ocean. Eng. And Sci. Vol. 1, pp.300-324, 2016. Doi: 10.1016/j.joes.2016.08.002
16. San, O. and Iliescu, T., “A Stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation”, Adv. Comp. Math. Vol. 41, pp.1289-1319, 2015. Doi: 10.1007/s10444-015-9417-0
17. San, O. Steples, A. E., Wang, Z. and Iliescu, T., “Approximate deconvolution large eddy simulation of barotropic ocean circulation model”, Ocean. Model. Vol. 4, No. 2, 120-132, 2011. doi:10.1016/j.ocemod.2011.08.003

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