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High-order energy stable weno schemes (Document No: 20080018695)
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Carpenter, Mark H. Yamaleev, Nail K. |
| Copyright Year | 2008 |
| Description | A new third-order Energy Stable Weighted Essentially NonOscillatory (ESWENO) finite difference scheme for scalar and vector linear hyperbolic equations with piecewise continuous initial conditions is developed. The new scheme is proven to be stable in the energy norm for both continuous and discontinuous solutions. In contrast to the existing high-resolution shock-capturing schemes, no assumption that the reconstruction should be total variation bounded (TVB) is explicitly required to prove stability of the new scheme. A rigorous truncation error analysis is presented showing that the accuracy of the 3rd-order ESWENO scheme is drastically improved if the tuning parameters of the weight functions satisfy certain criteria. Numerical results show that the new ESWENO scheme is stable and significantly outperforms the conventional third-order WENO finite difference scheme of Jiang and Shu in terms of accuracy, while providing essentially nonoscillatory solutions near strong discontinuities. |
| File Size | 505604 |
| Page Count | 26 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_20080018695 |
| Archival Resource Key | ark:/13960/t50g8n77d |
| Language | English |
| Publisher Date | 2008-05-05 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Discontinuity High Resolution Stability Error Analysis Difference Equations Essentially Non-oscillatory Schemes Scalars Truncation Errors Linear Equations Hyperbolic Differential 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 |
