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A high order splitting scheme for the Navier–Stokes equations with variable viscosity

✍ Scribed by G.-S. Karamanos; S.J. Sherwin

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 209 KB
Volume: 33
Category: Article
ISSN: 0168-9274
DOI: 10.1016/s0168-9274(99)00112-9

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✦ Synopsis

The objective of this paper is to extend the splitting scheme of Karniadakis et al. (1991) to temporally and spatially varying viscosity, while retaining the decoupling of the viscous term. The derivation of the algorithm and a simplified von Neumann stability analysis for the one-dimensional diffusion equation is presented, demonstrating that for a linear diffusion equation, the scheme is unconditionally stable if the implicit part of the viscosity is larger than the explicit part.

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