Mountain-Wave-Like Spurious Waves Associated with Simulated Cold Fronts due to Inconsistencies between Horizontal and Vertical Resolutions

Shin-ichi Iga Frontier Research Center for Global Change, Japan Agency for Marine-Earth Science and Technology, Yokohama, Japan

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Hirofumi Tomita Frontier Research Center for Global Change, Japan Agency for Marine-Earth Science and Technology, Yokohama, Japan

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Masaki Satoh Center for Climate System Research, University of Tokyo, Kashiwa, Chiba, and Frontier Research Center for Global Change, Japan Agency for Marine-Earth Science and Technology, Yokohama, Japan

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Koji Goto HPC Marketing Promotion Division, First Computers Operation Unit, NEC Corporation, Fuchu, Tokyo, Japan

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Abstract

A newly developed global nonhydrostatic model is used for life cycle experiments (LCEs) of baroclinic waves, and the resolution dependency of frontal structures is examined. LCEs are integrated for 12 days with horizontal grid intervals ranging from 223 to 3.5 km in a global domain. In general, fronts become sharper and corresponding vertical flow strengthens as horizontal resolution increases. However, if the ratio of vertical and horizontal grid intervals is sufficiently small compared to the frontal slope s, the overall frontal structure remains unchanged. In contrast, when the ratio of horizontal and vertical grid intervals exceeds 2s − 4s, spurious gravity waves are generated at the cold front. A linear model for mountain waves quantitatively explains the mechanism of the spurious waves. The distribution of the basic wind is the major factor that determines wave amplitude and propagation. The spurious waves propagate up to a critical level at which the basic wind speed normal to the front is equal to the propagation speed of the front. Results from the linear model suggest that an effective way to eliminate spurious waves is to choose a stretched grid with a smaller vertical grid interval in lower layers where strong horizontal winds exist.

Corresponding author address: Shin-ichi Iga, Frontier Research Center for Global Change, Japan Agency for Marine-Earth Science and Technology, 3173-25 Showa-machi, Kanazawa-ku, Yokohama-city, Kanagawa, 236-0001, Japan. Email: iga@jamstec.go.jp

Abstract

A newly developed global nonhydrostatic model is used for life cycle experiments (LCEs) of baroclinic waves, and the resolution dependency of frontal structures is examined. LCEs are integrated for 12 days with horizontal grid intervals ranging from 223 to 3.5 km in a global domain. In general, fronts become sharper and corresponding vertical flow strengthens as horizontal resolution increases. However, if the ratio of vertical and horizontal grid intervals is sufficiently small compared to the frontal slope s, the overall frontal structure remains unchanged. In contrast, when the ratio of horizontal and vertical grid intervals exceeds 2s − 4s, spurious gravity waves are generated at the cold front. A linear model for mountain waves quantitatively explains the mechanism of the spurious waves. The distribution of the basic wind is the major factor that determines wave amplitude and propagation. The spurious waves propagate up to a critical level at which the basic wind speed normal to the front is equal to the propagation speed of the front. Results from the linear model suggest that an effective way to eliminate spurious waves is to choose a stretched grid with a smaller vertical grid interval in lower layers where strong horizontal winds exist.

Corresponding author address: Shin-ichi Iga, Frontier Research Center for Global Change, Japan Agency for Marine-Earth Science and Technology, 3173-25 Showa-machi, Kanazawa-ku, Yokohama-city, Kanagawa, 236-0001, Japan. Email: iga@jamstec.go.jp

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  • Arakawa, A., and S. Moorthi, 1988: Baroclinic instability in vertically discrete systems. J. Atmos. Sci., 45 , 16881708.

  • Bush, A. B. G., J. C. McWilliams, and W. R. Peltier, 1995: Origins and evolution of imbalance in synoptic-scale baroclinic wave life cycles. J. Atmos. Sci., 52 , 10511069.

    • Search Google Scholar
    • Export Citation
  • Gall, R. G., R. T. Williams, and T. L. Clark, 1988: Gravity waves generated during frontgenesis. J. Atmos. Sci., 45 , 22042218.

  • Gallus, W. A., and J. B. Klemp, 2000: Behavior of flow over step orography. Mon. Wea. Rev., 128 , 11531164.

  • Held, M., and M. J. Suarez, 1994: A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models. Bull. Amer. Meteor. Soc., 75 , 18251830.

    • Search Google Scholar
    • Export Citation
  • Jorgensen, D. P., Z. Pu, P. O. G. Persson, and W-K. Tao, 2003: Variation associated with cores and gaps of a Pacific narrow cold frontal rainband. Mon. Wea. Rev., 131 , 27052729.

    • Search Google Scholar
    • Export Citation
  • Klemp, J. B., and R. B. Wilhemson, 1978: The simulation of three-dimensional convective storm dynamics. J. Atmos. Sci., 35 , 10701096.

    • Search Google Scholar
    • Export Citation
  • Lean, H. W., and P. A. Clark, 2003: The effects of changing resolution on mesoscale modelling of line convection and slantwise circulations in FASTEX IOPl6. Quart. J. Roy. Meteor. Soc., 129 , 22552278.

    • Search Google Scholar
    • Export Citation
  • Lindzen, R. S., and M. Fox-Rabinovitz, 1989: Consistent vertical and horizontal resolution. Mon. Wea. Rev., 117 , 25752583.

  • Lorenz, E. N., 1960: Energy and numerical weather prediction. Tellus, 12 , 364373.

  • Methven, J., and B. Hoskins, 1998: Spirals in potential vorticity. Part I: Measures of structure. J. Atmos. Sci., 55 , 20532079.

  • Pecnick, M. J., and D. Keyser, 1989: The effect of spatial resolution on the simulation of upper-tropospheric frontogenesis using a sigma-coordinate primitive-equation model. Meteor. Atmos. Phys., 40 , 137149.

    • Search Google Scholar
    • Export Citation
  • Persson, P. O. G., and T. T. Warner, 1991: Model generation of spurious gravity waves due to inconsistency of the vertical and horizontal resolution. Mon. Wea. Rev., 119 , 917935.

    • Search Google Scholar
    • Export Citation
  • Persson, P. O. G., and T. T. Warner, 1993: Nonlinear hydrostatic conditional symmetric instability: Implications for numerical weather prediction. Mon. Wea. Rev., 121 , 18211833.

    • Search Google Scholar
    • Export Citation
  • Polvani, L. M., R. K. Scott, and S. J. Thomas, 2004: Numerically converged solutions of the global primitive equations for testing the dynamical core of atmospheric GCMs. Mon. Wea. Rev., 132 , 25392552.

    • Search Google Scholar
    • Export Citation
  • Redelsperger, J-L., and Coauthors, 2000: A GCSS model intercomparison for a tropical squall line observed during TOGA-COARE. I: Cloud-resolving models. Quart. J. Roy. Meteor. Soc., 126 , 823863.

    • Search Google Scholar
    • Export Citation
  • Satoh, M., H. Tomita, H. Miura, S. Iga, and T. Nasuno, 2005: Development of a global cloud resolving model—A multi-scale structure of tropical convections. J. Earth Simul., 3 , 19.

    • Search Google Scholar
    • Export Citation
  • Skamarock, W. C., and J. B. Klemp, 1992: The stability of time-split numerical methods for the hydrostatic and the nonhydrostatic elastic equations. Mon. Wea. Rev., 120 , 21092127.

    • Search Google Scholar
    • Export Citation
  • Snyder, C., W. C. Skamarock, and R. Rotunno, 1993: Frontal dynamics near and following frontal collapse. J. Atmos. Sci., 50 , 31943211.

    • Search Google Scholar
    • Export Citation
  • Thorncroft, C. D., B. J. Hoskins, and M. E. McIntyre, 1993: Two paradigms of baroclinic-wave life-cycle behavior. Quart. J. Roy. Meteor. Soc., 119 , 1755.

    • Search Google Scholar
    • Export Citation
  • Tomita, H., and M. Satoh, 2004: A new dynamical framework of nonhydrostatic global model using the icosahedral grid. Fluid Dyn. Res., 34 , 357400.

    • Search Google Scholar
    • Export Citation
  • Tomita, H., M. Tsugawa, M. Satoh, and K. Goto, 2001: Shallow water model on a modified icosahedral grid by spring dynamics. J. Comput. Phys., 174 , 579613.

    • Search Google Scholar
    • Export Citation
  • Tomita, H., M. Satoh, and K. Goto, 2002: An optimization of the icosahedral grid modified by spring dynamics. J. Comput. Phys., 183 , 307331.

    • Search Google Scholar
    • Export Citation
  • Tomita, H., H. Miura, S. Iga, T. Nasuno, and M. Satoh, 2005: A global cloud-resolving simulation: Preliminary results from an aqua planet experiment. Geophys. Res. Lett., 32 .L08805, doi:10.1029/2005GL022459.

    • Search Google Scholar
    • Export Citation
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