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Stability analysis of a Galerkin/Runge-Kutta Navier-Stokes discretisation on unstructured tetrahedral grids

Abstract:

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 decreasing for both the original p.d.e. and the semi-discrete system of o.d.e.'s arising from a Galerkin discretisation on a tetrahedral grid. Using recent theoretical results concerning algebraic and g...

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Publication status:
Published

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Publisher copy:
10.1006/jcph.1996.5616

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
JOURNAL OF COMPUTATIONAL PHYSICS
Volume:
132
Issue:
2
Pages:
201-214
Publication date:
1997-04-01
DOI:
ISSN:
0021-9991
Source identifiers:
31286
Language:
English
Pubs id:
pubs:31286
UUID:
uuid:5f445a4a-e0e4-41af-accf-f2adcd2cfd8d
Local pid:
pubs:31286
Deposit date:
2012-12-19

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