| タイトル | Second- and third-order upwind difference schemes for hyperbolic conservation laws |
| 本文（外部サイト） | http://hdl.handle.net/2060/19840025035 |
| 著者（英） | Yang, J. Y. |
| 著者所属（英） | NASA Ames Research Center |
| 発行日 | 1984-07-01 |
| 言語 | eng |
| 内容記述 | Second- and third-order two time-level five-point explicit upwind-difference schemes are described for the numerical solution of hyperbolic systems of conservation laws and applied to the Euler equations of inviscid gas dynamics. Nonliner smoothing techniques are used to make the schemes total variation diminishing. In the method both hyperbolicity and conservation properties of the hyperbolic conservation laws are combined in a very natural way by introducing a normalized Jacobian matrix of the hyperbolic system. Entropy satisfying shock transition operators which are consistent with the upwind differencing are locally introduced when transonic shock transition is detected. Schemes thus constructed are suitable for shockcapturing calculations. The stability and the global order of accuracy of the proposed schemes are examined. Numerical experiments for the inviscid Burgers equation and the compressible Euler equations in one and two space dimensions involving various situations of aerodynamic interest are included and compared. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 84N33106
A-9752
NASA-TM-85959
NAS 1.15:85959 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/158425 |
