High-Wavenumber Finite Differences and Turbulence Simulations
| dc.creator | Maron, Jason | |
| dc.date | 2004-02-25 | |
| dc.date.accessioned | 2026-07-07T02:12:23Z | |
| dc.date.available | 2026-07-07T02:12:23Z | |
| dc.description | We introduce a fluid dynamics algorithm that performs with nearly spectral accuracy, but uses finite-differences instead of FFTs to compute gradients and thus executes 10 times faster. The finite differencing is not based on a high-order polynomial fit. The polynomial scheme has supurb accuracy for low-wavenumber gradients but fails at high wavenumbers. We instead use a scheme tuned to enhance high-wavenumber accuracy at the expense of low wavenumbers, although the loss of low-wavenumber accuracy is negligibly slight. A tuned gradient is capable of capturing all wavenumbers up to 80 percent of the Nyquist limit with an error of no worse than 1 percent. The fact that gradients are based on finite differences enables diverse geometries to be considered and eliminates the parallel communications bottleneck. | |
| dc.description | 20 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0402606 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0402606 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/7436 | |
| dc.subject | Astrophysics | |
| dc.title | High-Wavenumber Finite Differences and Turbulence Simulations | |
| dc.type | text |