Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897159 | Physica D: Nonlinear Phenomena | 2008 | 5 Pages |
Abstract
The numerical simulation of the 3D incompressible Euler equations is analyzed with respect to different integration methods. The numerical schemes we considered include spectral methods with different strategies for dealiasing and two variants of finite difference methods. Based on this comparison, a Kida-Pelz-like initial condition is integrated using adaptive mesh refinement and estimates on the necessary numerical resolution are given. This estimate is based on analyzing the scaling behavior similar to the procedure in critical phenomena and present simulations are put into perspective.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tobias Grafke, Holger Homann, Jürgen Dreher, Rainer Grauer,