### Abstract

The renormalization group equations (RGEs) describing spontaneous inertia-gravity wave (GW) radiation from part of a balanced flow through a quasi resonance that were derived in a companion paper by Yasuda et al. are validated through numerical simulations of the vortex dipole using the Japan Meteorological Agency nonhydrostatic model (JMA-NHM). The RGEs are integrated for two vortical flow fields: the first is the initial condition that does not contain GWs used for the JMA-NHM simulations, and the second is the simulated thirtieth-day field by the JMA-NHM. The theoretically obtained GW distributions in both RGE integrations are consistent with the numerical simulations using the JMA-NHM. This result supports the validity of the RGE theory. GW radiation in the dipole is physically interpreted either as the mountain-wave-like mechanism proposed by McIntyre or as the velocity-variation mechanism proposed by Viúdez. The shear of the large-scale flow likely determines which mechanism is dominant. In addition, the distribution of GW momentum fluxes is examined based on the JMA-NHM simulation data. The GWs propagating upward from the jet have negative momentum fluxes, while those propagating downward have positive ones. The magnitude of momentum fluxes is approximately proportional to the sixth power of the Rossby number between 0.15 and 0.4.

Original language | English |
---|---|

Pages (from-to) | 984-1009 |

Number of pages | 26 |

Journal | Journal of the Atmospheric Sciences |

Volume | 72 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2015 |

### Fingerprint

### Keywords

- Atmospheric
- Differential equations
- Filtering techniques
- Inertia-gravity waves
- Jets
- Waves

### ASJC Scopus subject areas

- Atmospheric Science

### Cite this

*Journal of the Atmospheric Sciences*,

*72*(3), 984-1009. https://doi.org/10.1175/JAS-D-13-0371.1

**A theoretical study on the spontaneous radiation of inertia-gravity waves using the renormalization group method. Part II : Verification of the theoretical equations by numerical simulation.** / Yasuda, Yuki; Sato, Kaoru; Sugimoto, Norihiko.

Research output: Contribution to journal › Article

*Journal of the Atmospheric Sciences*, vol. 72, no. 3, pp. 984-1009. https://doi.org/10.1175/JAS-D-13-0371.1

}

TY - JOUR

T1 - A theoretical study on the spontaneous radiation of inertia-gravity waves using the renormalization group method. Part II

T2 - Verification of the theoretical equations by numerical simulation

AU - Yasuda, Yuki

AU - Sato, Kaoru

AU - Sugimoto, Norihiko

PY - 2015

Y1 - 2015

N2 - The renormalization group equations (RGEs) describing spontaneous inertia-gravity wave (GW) radiation from part of a balanced flow through a quasi resonance that were derived in a companion paper by Yasuda et al. are validated through numerical simulations of the vortex dipole using the Japan Meteorological Agency nonhydrostatic model (JMA-NHM). The RGEs are integrated for two vortical flow fields: the first is the initial condition that does not contain GWs used for the JMA-NHM simulations, and the second is the simulated thirtieth-day field by the JMA-NHM. The theoretically obtained GW distributions in both RGE integrations are consistent with the numerical simulations using the JMA-NHM. This result supports the validity of the RGE theory. GW radiation in the dipole is physically interpreted either as the mountain-wave-like mechanism proposed by McIntyre or as the velocity-variation mechanism proposed by Viúdez. The shear of the large-scale flow likely determines which mechanism is dominant. In addition, the distribution of GW momentum fluxes is examined based on the JMA-NHM simulation data. The GWs propagating upward from the jet have negative momentum fluxes, while those propagating downward have positive ones. The magnitude of momentum fluxes is approximately proportional to the sixth power of the Rossby number between 0.15 and 0.4.

AB - The renormalization group equations (RGEs) describing spontaneous inertia-gravity wave (GW) radiation from part of a balanced flow through a quasi resonance that were derived in a companion paper by Yasuda et al. are validated through numerical simulations of the vortex dipole using the Japan Meteorological Agency nonhydrostatic model (JMA-NHM). The RGEs are integrated for two vortical flow fields: the first is the initial condition that does not contain GWs used for the JMA-NHM simulations, and the second is the simulated thirtieth-day field by the JMA-NHM. The theoretically obtained GW distributions in both RGE integrations are consistent with the numerical simulations using the JMA-NHM. This result supports the validity of the RGE theory. GW radiation in the dipole is physically interpreted either as the mountain-wave-like mechanism proposed by McIntyre or as the velocity-variation mechanism proposed by Viúdez. The shear of the large-scale flow likely determines which mechanism is dominant. In addition, the distribution of GW momentum fluxes is examined based on the JMA-NHM simulation data. The GWs propagating upward from the jet have negative momentum fluxes, while those propagating downward have positive ones. The magnitude of momentum fluxes is approximately proportional to the sixth power of the Rossby number between 0.15 and 0.4.

KW - Atmospheric

KW - Differential equations

KW - Filtering techniques

KW - Inertia-gravity waves

KW - Jets

KW - Waves

UR - http://www.scopus.com/inward/record.url?scp=84929456306&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929456306&partnerID=8YFLogxK

U2 - 10.1175/JAS-D-13-0371.1

DO - 10.1175/JAS-D-13-0371.1

M3 - Article

AN - SCOPUS:84929456306

VL - 72

SP - 984

EP - 1009

JO - Journals of the Atmospheric Sciences

JF - Journals of the Atmospheric Sciences

SN - 0022-4928

IS - 3

ER -