Mountain waves and Gaussian beams

Multiscale Modeling and Simulation

Volumn 6, Issue 2, 2007, Pages 688-709

  Tanushev, Nicolay M ^a   Qian, Jianliang ^b   Ralston, James V ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b WICHITA STATE UNIVERSITY   (United States)

Author keywords

Geometric optics; Orographic waves; Ray tracing; Superpositions of Gaussian beams

Indexed keywords

ATMOSPHERIC TURBULENCE; BESSEL FUNCTIONS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DYNAMICS; ELECTROMAGNETIC FIELD THEORY; ELECTROMAGNETIC FIELDS; ELECTROMAGNETISM; FLUID DYNAMICS; FLUID MECHANICS; GAUSSIAN DISTRIBUTION; GAUSSIAN NOISE (ELECTRONIC); LANDFORMS; LASER BEAMS; LINEARIZATION; MAGNETISM; PARTIAL DIFFERENTIAL EQUATIONS; SOLUTIONS; TRELLIS CODES; WAVES;

AIR FLOWS; APPLIED MATHEMATICS; APPROXIMATE SOLUTIONS; BASIC EQUATIONS; GAUSSIAN; HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS; LINEARIZED SYSTEMS; MOUNTAIN WAVES; STATIONARY SOLUTIONS; SYSTEM OF EQUATIONS; TIME-DEPENDENT SOLUTIONS; WAVE FIELDS;

GAUSSIAN BEAMS;

EID: 45849084964     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/060673667     Document Type: Article

References (11)

1. D. BROUTMAN, J. ROTTMAN, AND S. D. ECKERMANN, Maslov's method for stationary hydrostatic mountain waves, Q. J. R. Meteorol. Soc., 128 (2002), pp. 1159-1171.
2. D. BROUTMAN, J. ROTTMAN, AND S. D. ECKERMANN, Ray methods for internal waves in the atmosphere and ocean, in Annual Review of Fluid Mechanics, Annu. Rev. Fluid Mech. 36, Annual Reviews, Palo Alto, CA, 2004, pp. 233-253.
3. V. CERVENY, M. POPOV, AND I. PSENCIK, Computation of wave fields in inhomogeneous media - Gaussian beam approach, Geophys. J. R. Astr. Soc., 70 (1982), pp. 109-128.
4. N. R. HILL, Prestack Gaussian-beam depth migration, Geophysics, 66 (2001), pp. 1240-1250.
5. L. HÖRMANDER, On the existence and the regularity of solutions of linear pseudo-differential equations, Enseignement Math. (2), 17 (1971), pp. 99-163.
6. P. D. LAX AND R. S. PHILLIPS, Local boundary conditions for dissipative symmetric linear differential operators, Comm. Pure Appl. Math., 13 (1960), pp. 427-455.
7. S. LEUNG, J. QIAN, AND R. BURRIDGE, Eulerian Gaussian Beams for High Frequency Wave Propagation, preprint, 2007.
8. NOAA, NASA, AND USAF, U.S. Standard Atmosphere 1976, U.S. Government Printing Office, Washington, P.C., 1976.
9. J. RALSTON, Gaussian beams and the propagation of singularities, in Studies in Partial Differential Equations, MAA Stud. Math. 23, Math Association of America, Washington, D.C., 1982, pp. 206-248.
10. J. RAUCH, Symmetric positive systems with boundary characteristic of constant multiplicity, Trans Amer. Math. Soc., 291 (1985), pp. 167-187.
11. G. J. SHUTTS, Stationary gravity-wave structure in flows with directional wind shear, Q. J. R. Meteorol. Soc., 124 (1998), pp. 1421-1442.