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Time Integration Schemes for the Unsteady Navier-stokes Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bijl, Hester Carpenter, Mark H. Vatsa, Veer N. |
| Copyright Year | 2001 |
| Abstract | The e ciency and accuracy of several time integration schemes are investigated for the unsteady Navier-Stokes equations. This study focuses on the e ciency of higher-order Runge-Kutta schemes in comparison with the popular Backward Di erencing Formulations. For this comparison an unsteady two-dimensional laminar ow problem is chosen, i.e. ow around a circular cylinder at Re=1200. It is concluded that for realistic error tolerances (smaller than 10 ) fourthand fth-order Runge Kutta schemes are the most e cient. For reasons of robustness and computer storage, the fourth-order RungeKutta method is recommended. The e ciency of the fourth-order Runge-Kutta scheme exceeds that of second-order Backward Di erence Formula (BDF2) by a factor of 2:5 at engineering error tolerance levels (10 1-10 2). E ciency gains are more dramatic at smaller tolerances. |
| File Format | PDF HTM / HTML |
| DOI | 10.2514/6.2001-2612 |
| Alternate Webpage(s) | http://techreports.larc.nasa.gov/ltrs/PDF/2001/aiaa/NASA-aiaa-2001-2612.pdf |
| Alternate Webpage(s) | http://www.cs.odu.edu/~mln/ltrs-pdfs/NASA-aiaa-2001-2612.pdf |
| Alternate Webpage(s) | https://doi.org/10.2514/6.2001-2612 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
