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Stability of a Runge-Kutta method for the Navier-Stokes equation

✍ Scribed by Johan Sowa

Publisher
Springer Netherlands
Year
1990
Tongue
English
Weight
906 KB
Volume
30
Category
Article
ISSN
0006-3835

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## Communicated by W. Tornig A linear stability condition is derived for explicit Runge-Kutta methods to solve the compressible Navier-Stokes equations by central second-order finite-difference and finite-volume methods. The equations in non-conservative form are simplified to quasilinear form, an

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This paper presents a timestep stability analysis for a class of discretisations applied to the linearised form of the Navier-Stokes equations on a 3D domain with periodic boundary conditions. Using a suitable definition of the ''perturbation energy'' it is shown that the energy is monotonically dec