Spectral Differentiation Operators and Hydrodynamic Models for Stability of Swirling Fluid Systems

Diana Alina Bistrian; Florica Ioana Dragomirescu; George Savii

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arXiv · 1203.6758

Spectral Differentiation Operators and Hydrodynamic Models for Stability of Swirling Fluid Systems

Diana Alina Bistrian·Florica Ioana Dragomirescu·George Savii

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Abstract

In this paper we develop hydrodynamic models using spectral differential operators to investigate the spatial stability of swirling fluid systems. Including viscosity as a valid parameter of the fluid, the hydrodynamic model is derived using a nodal Lagrangian basis and the polynomial eigenvalue problem describing the viscous spatial stability is reduced to a generalized eigenvalue problem using the companion vector method. For inviscid study the hydrodynamic model is obtained by means of a class of shifted orthogonal expansion functions and the spectral differentiation matrix is derived to approximate the discrete derivatives. The models were applied to a Q-vortex structure, both schemes providing good results.

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BibTeX RIS

Diana Alina Bistrian, Florica Ioana Dragomirescu, George Savii. 2012-03-30. Spectral Differentiation Operators and Hydrodynamic Models for Stability of Swirling Fluid Systems. https://arxiv.org/abs/1203.6758

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