High-Wavenumber Finite Differences and Turbulence Simulations

Details High-Wavenumber Finite Differences and Turbulence Simulations High-Wavenumber Finite Differences and Turbulence Simulations

2004-02-25

arxiv.org/abs/astro-ph/0402606v1

Astronomy and Astrophysics

Astrophysics

20 pages, 7 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

High-Wavenumber Finite Differences and Turbulence Simulations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with High-Wavenumber Finite Differences and Turbulence Simulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-Wavenumber Finite Differences and Turbulence Simulations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-484376