Meseguer, A. and Trefethen, Lloyd N. (2000) A spectral Petrov-Galerkin formulation for pipe flow I: Linear stability and transient growth. Technical Report. Unspecified. (Submitted)
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 in agreement with former works. A parametric exploration of pseudospectra and transient growth has been carried out for the aforementioned cases.
This research was supported by UK Engineering and Physical Sciences Research Council Grant GR/M30890.
|Item Type:||Technical Report (Technical Report)|
|Subjects:||H - N > Numerical analysis|
|Research Groups:||Numerical Analysis Group|
|Deposited By:||Lotti Ekert|
|Deposited On:||21 May 2011 16:06|
|Last Modified:||29 May 2015 18:57|
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