Abstract
We analyze the energy stability of the standard MUSCL scheme. The analysis is possible by reformulating the MUSCL scheme in the framework of summation-by-parts (SBP) operators including an artificial dissipation. The effect of different slope limiters is studied. It is found that all the slope limiters do not lead to the correct sign of the entries in the dissipation matrix. The implication of that is discussed for both linear and nonlinear scalar problems.
| Original language | English |
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| Title of host publication | 7th South African Conference on Computational and Applied Mechanics (SACAM 2010) |
| Subtitle of host publication | Pretoria, South Africa, 10-13 January 2010 |
| Editors | Schalk Kok, Helen Mary Inglis, Daniel Nicolas Wilke |
| Publisher | South African Association for Theoretical and Applied Mechanics (SAAM) |
| Pages | 353-360 |
| Number of pages | 8 |
| ISBN (Electronic) | 978-0-62049-192-1 |
| ISBN (Print) | 978-1-63439-714-8 |
| Publication status | Published - 2010 |
| Event | 7th South African Conference on Computational and Applied Mechanics, SACAM 2010 - Pretoria, South Africa Duration: 10 Jan 2010 → 13 Jan 2010 Conference number: 7 |
Conference
| Conference | 7th South African Conference on Computational and Applied Mechanics, SACAM 2010 |
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| Abbreviated title | SACAM 2010 |
| Country/Territory | South Africa |
| City | Pretoria |
| Period | 10/01/10 → 13/01/10 |
Keywords
- Artificial dissipation
- Energy estimates and numerical stability
- MUSCL scheme
- Summation-by-parts form