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A spectral Petrov-Galerkin formulation for pipe flow I: Linear stability and transient growth

Abstract:

A spectral Petrov-Galerkin scheme for the numerical approximation of flow in a circular pipe is presented. The mathematical formulation is presented in detail focusing on the analyticity of solenoidal vector fields used for the approximation of the flow. A comprehensive study of linear stability is reported for axisymmetric, non-axisymmetric, streamwise dependent and streamwise independent perturbations . The scheme provides spectral accuracy in all cases studied and the numerical results are...

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Publication date:
2000-09-05
URN:
uuid:95cd1232-3833-4f64-b240-d0ee44a5fdac
Local pid:
oai:eprints.maths.ox.ac.uk:1255

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