Komminaho, J. and Johansson, A.V. (2000) Development of a Spectrally Accurate DNS Code for Cylindrical Geometries, Part V of J. Komminaho, Direct Numerical Simulation of Turbulent Flow in Plane and Cylindrical Geometries. Docoral Thesis, Royal Institute of Technology, Stockholm.

has been cited by the following article:

• TITLE: Effects of the Reynolds and Weissenberg’s Numbers on the Stability of Linear Pipe Flow of Viscous Fluid

  AUTHORS: Ibrahima Kama, Mamadou Lamine Sow, Kodjo Kpode, Cheikh Mbow

  KEYWORDS: Viscoelastic Fluids, Oldroyd-B Model, Linear Stability, Petrov-Galerkin, Generalized Eigenvalue Problem

  JOURNAL NAME: Modern Mechanical Engineering, Vol.8 No.4, November 30, 2018

  ABSTRACT: A Fourier-Chebyshev Petrov-Galerkin spectral method is described for high accuracy computation of linearized dynamics for flow in a circular pipe. The code used here is based on solenoidal velocity variables and is written in FORTRAN. Systematic studies are presented of the dependence of eigenval-ues and other quantities on the axial and azimuthal wave numbers; the Reyn-olds’ number of up to 107 and the Weissenberg’s number that is considered lower here. The flow will be considered stable if all the real parts of the ei-genvalues obtained are negative and unstable if only one of these values is positive.