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Time dependent wave envelope finite difference analysis of sound propagation
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Baumeister, K. J. |
| Copyright Year | 1984 |
| Description | A transient finite difference wave envelope formulation is presented for sound propagation, without steady flow. Before the finite difference equations are formulated, the governing wave equation is first transformed to a form whose solution tends not to oscillate along the propagation direction. This transformation reduces the required number of grid points by an order of magnitude. Physically, the transformed pressure represents the amplitude of the conventional sound wave. The derivation for the wave envelope transient wave equation and appropriate boundary conditions are presented as well as the difference equations and stability requirements. To illustrate the method, example solutions are presented for sound propagation in a straight hard wall duct and in a two dimensional straight soft wall duct. The numerical results are in good agreement with exact analytical results. |
| File Size | 681040 |
| Page Count | 15 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19840024048 |
| Archival Resource Key | ark:/13960/t0jt4h430 |
| Language | English |
| Publisher Date | 1984-01-01 |
| Access Restriction | Open |
| Subject Keyword | Acoustics Finite Element Method Time Dependence Boundary Value Problems Gas Dynamics Finite Difference Theory Wave Equations Acoustic Propagation Boundary Conditions Computational Grids Mach Number Transformations Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
