A unified well-posed computational approach for the 2D Orr-Sommerfeld problem

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Abstract

In this paper, we present a unified well-posed implicit formulation for nonlinear 2D Orr-Sommerfeld equation (OSE) enabling straightforward, efficient computation of travelling wave and steady solutions. We illustrate the ease and utility of our approach by computing classical travelling wave results of planar Poiseuille flows and novel steady solutions of the perturbed planar Couette flow, employing the path-following software AUTO.

Original languageEnglish (US)
Pages (from-to)541-557
Number of pages17
JournalJournal of Computational Physics
Volume199
Issue number2
DOIs
StatePublished - Sep 20 2004
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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