Experimental "Maslov" Mountain Wave Forecasts

Dave Broutman: Computational Physics, Inc., Springfield, VA
Stephen Eckermann: Code 7646, Naval Research Lab, Washington, DC


   During SOLVE2, Code 7646 at NRL is issuing forecasts of mountain wave temperature amplitudes in the stratosphere, as well as turbulence at flight altitudes due to mountain wave breaking (see here). These forecasts are provided by NRL's Mountain Wave Forecast Model (MWFM), and forecasts are being issued using both the original hydrostatic MWFM 1 model and the newer ray-based nonhydrostatic rotational MWFM 2 model.
   We are currently involved in work to test a new method of forecasting mountain wave properties using the so-called "Maslov" method. If successful, we hope these algorithms will form the basis for a "next generation" MWFM 3 model. This work, led by Dr. Dave Broutman, involves numerical mountain wave solutions that combine aspects of the gravity wave ray-tracing formalism used in MWFM 2 model with a Fourier transform solution method for arbitrary topography commonly used in analytical solutions of mountain wave flow problems. The method potentially offers a nice compromise between the numerical speed and generality to arbitrary flow regimes of numerical ray solutions and the greater realism and accuracy of wave patterns generated by normal mode Fourier transform solutions. For more information and background, consult the references listed below.
   The forecasts issued here are sporadic and experimental. Our goal here is to compare the output from early versions of the Maslov code during SOLVE 2 with more operational forecast products provided by the MWFM, 3DLOM, and ECMWF model. Such forecast-mode comparisons, it is hoped, will aid initial assessments of the feasibility of using a version of the Maslov code as a new dynamical kernel for the next generation MWFM.

REFERENCES:
Broutman, D., J. W. Rottman and S. D. Eckermann, A hybrid method for analyzing wave propagation from a localized source, with application to mountain waves, Q. J. R. Meteorol. Soc., 127, 129-146, 2001.
Broutman, D., J. W. Rottman and S. D. Eckermann, Maslov's method for stationary hydrostatic mountain waves, Q. J. R. Meteorol. Soc., 128, 1159-1172, 2002.
Broutman, D., J. W. Rottman and S. D. Eckermann, A simplified Fourier method for nonhydrostatic mountain waves, J. Atmos. Sci., (submitted), 2003.


Latest Test Forecast
Svalbard
:  29 January 2003 @12:00Z

Maslov Forecast
Vertical Velocity at 20 km

MWFM 2 Forecast
Peak Temperature Amplitudes at 70hPa (~18 km)

click to enlarge

click to enlarge
In this example, a south-southeastward flow pattern is leading to generation of a small amplitude ship wave-like mountain wave pattern over Svalbard (Spitzbergen). Similar features are evident in the MWFM 2 peak temperature ray forecast to the right, with both showing the eastward portion of the pattern suppressed in amplitude and less confined compared to the southwestward portion. Weak wraparound is evident to the top-left and bottom-right of the Maslov plot. The DC-8 will fly over Svalbard at ~12Z today.