First Differential Approximation Method and Approximate Viscosity of Difference Schemes
- 1 December 1969
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 12 (12) , II-28-28
- https://doi.org/10.1063/1.1692451
Abstract
When hyperbolic systems are integrated, effects of so‐called approximation viscosity appear. To investigate the latter, there is a very effective method which allows the reduction of the problem of the stability of a difference scheme to the stability (correctness) of a system of differential equations (the so‐called first differential approximation). Such a reduction is possible in the classes of simple and majorant schemes. In a sense, the approximation viscosity of the scheme and its dissipative properties are determined by a first differential approximation. The stated method can be used in the investigation of difference schemes for the problems of compressible and viscous fluid.Keywords
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