Linear and nonlinear acoustic wave propagation in the atmosphere
National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988 - Music - 35 pages
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7000 time steps 9 periods acoustic gravity waves Acoustic Wave Propagation asymptotic expansion compact support Comparison between solutions computational domain consider crucial role derivation dimensional distances domain for full equation 1.3 field equations full nonlinear problem governing equations gravitational field gravity term infinity initial conditions Isothermal Atmosphere Langley Research Center Laplace transform Lax-Wendroff scheme Left eigenvectors lems Linear and Nonlinear linear problem linearized prob MacCamy NASA Nonlinear Acoustic Wave nonlinear correction nonlinear situation nonlinear solution numerical implementation numerical methods numerical scheme numerical treatment obtain the boundary one-dimensional model one-dimensional situation P-Ll periods 300 steps periods 500 periods 900 steps play a crucial Pressure time history Propagation of acoustic radiation boundary condition results reported S. I. Hariharan scale height sequence of linear solutions of P-W sound propagation source Figure three-dimensional situation University of Akron Viscoelasticity wave equation waves without gravity well-posed Yu Ping zero