Numerical Stabilizers and Computing Time for Second Order Accurate Schemes.
Abstract
The effects of various numerical stabilizers on the computing time for hyperbolic systems in more than one spatial variable are delineated and tested on a CDC 6600. The results are not only compared on the basis of real computing time, but are also compared at each time step with analytic solutions. It is shown that while the two-step method of Richtmyer gives the minimum computing time, it also has by far the largest errors of all the schemes and is particularly bad near boundaries. An alternate scheme, based on an original extension of Strang's method, is shown to give very rapid covergence and small error, even for the hydrodynamic equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1972
- Accession Number
- AD0753165
Entities
People
- B. Eilon
- D. Gottlieb
- G. Zwas
Organizations
- Tel Aviv University