Control of the Dissipativity of Lax-Wendroff Type Methods for First Order Systems of Hyperbolic Equations.
Abstract
Lax-Wendroff methods for hyperbolic systems have two characteristics which are sometimes troublesome. They are sometimes too dissipative--they may smooth the solution excessively--and their dissipative behavior does not affect all modes of the solution equally. Both of these difficulties can be remedied by adding properly chosen accretive terms. We develop modifications of the Lax-Wendroff method which equilibrate the dissipativity over the fundamental modes of the solution and allow the magnitude of the dissipation to be controlled. We show that these methods are stable for the mixed initial boundary value problem and develop analogous formulations for the two-step Lax-Wendroff and MacCormack methods. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1977
- Accession Number
- ADA040399
Entities
People
- Joseph Oliger
- Tony F. C. Chan
Organizations
- Stanford University