| Title:
|
Nambova mechanika v dynamice atmosféry (Czech) |
| Title:
|
Nambu Mechanics in Atmospheric Dynamics (English) |
| Author:
|
Procházková, Zuzana |
| Author:
|
Šácha, Petr |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
64 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
220-228 |
| Summary lang:
|
Czech |
| . |
| Category:
|
physics |
| . |
| Summary:
|
Nambova mechanika je zobecněním mechaniky hamiltonovské dovolující využít další zachovávající se veličiny stejným způsobem jako hamiltonián. V následujícím článku představíme její formalismus a ukážeme konkrétní tvar rovnic pro volný setrvačník, dvojrozměrné nestlačitelné proudění a pro model mělké vody. V závěru pak zmíníme, k čemu se formalismus používá. (Czech) |
| . |
| Date available:
|
2020-02-20T12:47:25Z |
| Last updated:
|
2023-09-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148022 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Blender, R., Badin, G.: Construction of Hamiltonian and Nambu forms for the shallow water equations.. Fluids 2 (2017), 24. 10.3390/fluids2020024 |
| Reference:
|
[4] Gaßmann, A.: A global hexagonal C-grid non-hydrostatic dynamical core (icon-iap) designed for energetic consistency.. Q. J. R. Meteorol. Soc. 139 (2013), 152–175. 10.1002/qj.1960 |
| Reference:
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| Reference:
|
[6] Hirt, M., Schielicke, L., Müller, A., Névir, P.: Statistics and dynamics of blockings with a point vortex model.. Tellus A 70 (2018), 1–20. 10.1080/16000870.2018.1458565 |
| Reference:
|
[7] Nambu, Y.: Generalized Hamiltonian dynamics.. Phys. Rev. D 7 (1973), 2405–2412. Zbl 1027.70503, MR 0455611, 10.1103/PhysRevD.7.2405 |
| Reference:
|
[8] Névir, P., Blender, R.: A Nambu representation of incompressible hydrodynamics using helicity and enstrophy.. J. Phys. A 26 (1993), L1189. MR 1253027 |
| Reference:
|
[9] Névir, P., Sommer, M.: Energy-vorticity theory of ideal fluid mechanics.. J. Atmos. Sci. 66 (2009), 2073–2084. 10.1175/2008JAS2897.1 |
| Reference:
|
[10] Procházková, Z.: Application of the Nambu mechanics formalism in atmospheric dynamics.. Bakalářská práce. MFF UK, 2019. |
| Reference:
|
[11] Salazar, R., Kurgansky, M. V.: Nambu brackets in fluid mechanics and magnetohydrodynamics.. J. Phys. A 43 (2010), 305501. MR 2659627 |
| Reference:
|
[12] Salmon, R.: A general method for conserving quantities related to potential vorticity in numerical models.. Nonlinearity 18 (2005), R1. MR 2164722, 10.1088/0951-7715/18/5/R01 |
| Reference:
|
[13] Sommer, M., Névir, P.: A conservative scheme for the shallow-water system on a staggered geodesic grid based on a Nambu representation.. Q. J. R. Meteorol. Soc. 135 (2009), 485–494. 10.1002/qj.368 |
| . |
