On a Boundary Extrapolation Theorem by Kreiss.
Abstract
A hardly known and very important result of Kreiss is proven explicitly: Outflow boundary extrapolation which complements stable dissipative schemes for linear hyperbolic initial value problems, maintains stability. In view of this result, the Lax-Wendroff and the Gottlieb-Turkel schemes are applied to a test problem; as expected from the rate-of-convergence theory by Gustafsson, global order to accuracy is preserved if outflow boundary computations employ extrapolation of (local) accuracy of the same order. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1976
- Accession Number
- ADA032926
Entities
People
- Moshe Goldberg
Organizations
- University of California, Los Angeles