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Non-oscillatory central differencing for hyperbolic conservation laws
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Tadmor, Eitan Nessyahu, Haim |
| Copyright Year | 1988 |
| Description | Many of the recently developed high resolution schemes for hyperbolic conservation laws are based on upwind differencing. The building block for these schemes is the averaging of an appropriate Godunov solver; its time consuming part involves the field-by-field decomposition which is required in order to identify the direction of the wind. Instead, the use of the more robust Lax-Friedrichs (LxF) solver is proposed. The main advantage is simplicity: no Riemann problems are solved and hence field-by-field decompositions are avoided. The main disadvantage is the excessive numerical viscosity typical to the LxF solver. This is compensated for by using high-resolution MUSCL-type interpolants. Numerical experiments show that the quality of results obtained by such convenient central differencing is comparable with those of the upwind schemes. |
| File Size | 1654995 |
| Page Count | 56 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19890001211 |
| Archival Resource Key | ark:/13960/t19k97d5t |
| Language | English |
| Publisher Date | 1988-09-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Nonoscillatory Action Conservation Laws High Resolution Hyperbolic Functions Approximation Difference Equations Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
