## An analytic study of mesh refinement applied to the wave equationBurt J. Morse, Michael S. Moss, Robert William Jones, Environmental Research Laboratories (U.S.). Weather Modification Program Office U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, Weather Modification Program Office, 1973 - Science - 42 pages |

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50 hours advection experiments analogs backscatter COARSE GRID POINTS COARSE MESH GRID continuity and thermodynamic continuity conditions dashed curve dashed lines represent dependent variables dispersion Environmental Research Laboratories Evolution of pressure experiments I.4 finite difference equations fourth-order fp*u gravity wave experiments grid I arrangements grid integration hours for experiments Hurricane Research Laboratory incident to interface incident wave initial disturbance integration scheme linear interpolation lines represent location MESH GRID POINTS mesh interface momentum points nested grid system NHRL one-dimensional ORIGIN Figure perturbation phase speed point on coarse POINTS FROM ORIGIN Pressure profiles primitive equation profiles from experiment reflected waves sinusoidal slab symmetry solid curve spatial Table thermodynamic equations three-dimensional hurricane model transmitted from interface transmitted wave uniform coarse grid uniform fine grid uniform grid v,w v,w Various Incident Wavelengths velocity Vertical dashed lines vn+l wave equation wave propagating Waves incident waves with coefficients