Moving Finite Elements in 2-D.
Abstract
The moving finite element (MFE) method is a new PDE solutio method which has shown significant promise in 1-D for the numerical solution of some of the most difficult problems under study with extremely large, but finite, gradients. The overall the present research is to explore further the promise of the continous mode moving properties of the MFE method in 2-D. For this, both the logical structure of the MFE method and its reduction to practice in 2-D are under investigation of this project. In this first year's effort, results of several test examples involving conservation equations have shown the MFE method to be a robust PDE solver in 2-D. Burger-like equations which generate non-uniform, skewed waveforms with extremely large gradients in 2-D have been solved stably and accurately on an 8 x 8 grid of moving nodes. Examples of scalar waves propagating on closed, circular paths have been solved with similar levels of effectiveness on a 6 x 6 MFE grid mesh. The node behavior in all examples tested to date has been extremely flexible and easily controlled with no grid tangling or biasing effects. The MFE code architecture in 2-D is found to be amenable to vector and parallel processing computational methods and advanced computers. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 07, 1982
- Accession Number
- ADA117078
Entities
People
- Robert J. Gelinas