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Second- and third-order upwind difference schemes for hyperbolic conservation laws
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Yang, J. Y. |
| Copyright Year | 1984 |
| Description | 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. |
| File Size | 1512876 |
| Page Count | 51 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19840025035 |
| Archival Resource Key | ark:/13960/t3sv2f08c |
| Language | English |
| Publisher Date | 1984-07-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Conservation Laws Accuracy Computational Fluid Dynamics Gas Dynamics Finite Difference Theory Inviscid Flow Nonlinearity Entropy Tvd Schemes Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
