| タイトル | Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws |
| 本文（外部サイト） | http://hdl.handle.net/2060/19980007543 |
| 著者（英） | Shu, Chi-Wang |
| 著者所属（英） | Institute for Computer Applications in Science and Engineering |
| 発行日 | 1997-11-01 |
| 言語 | eng |
| 内容記述 | In these lecture notes we describe the construction, analysis, and application of ENO (Essentially Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes for hyperbolic conservation laws and related Hamilton- Jacobi equations. ENO and WENO schemes are high order accurate finite difference schemes designed for problems with piecewise smooth solutions containing discontinuities. The key idea lies at the approximation level, where a nonlinear adaptive procedure is used to automatically choose the locally smoothest stencil, hence avoiding crossing discontinuities in the interpolation procedure as much as possible. ENO and WENO schemes have been quite successful in applications, especially for problems containing both shocks and complicated smooth solution structures, such as compressible turbulence simulations and aeroacoustics. These lecture notes are basically self-contained. It is our hope that with these notes and with the help of the quoted references, the reader can understand the algorithms and code them up for applications. |
| NASA分類 | Numerical Analysis |
| レポートNO | NASA/CR-97-206253
NAS 1.26:206253
ICASE-97-65 |
| 権利 | No Copyright |
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