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Non-oscillatory spectral fourier methods for shock wave calculations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Shu, Chi-Wang Gottlieb, David Cai, Wei |
| Copyright Year | 1988 |
| Description | A non-oscillatory spectral Fourier method is presented for the solution of hyperbolic partial differential equations. The method is based on adding a nonsmooth function to the trigonometric polynomials which are the usual basis functions for the Fourier method. The high accuracy away from the shock is enhanced by using filters. Numerical results confirm that no oscillations develop in the solution. Also, the accuracy of the spectral solution of the inviscid Burgers equation is shown to be higher than a fixed order. |
| File Size | 768652 |
| Page Count | 33 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19880016764 |
| Archival Resource Key | ark:/13960/t0gv0gz7g |
| Language | English |
| Publisher Date | 1988-06-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Shock Waves Accuracy Partial Differential Equations Nonoscillatory Action Fourier Analysis Hyperbolic Functions Spectral Methods Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |