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

Prashant G. Mehta

doi:10.1016/j.jcp.2004.02.018

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 language	English (US)
Pages (from-to)	541-557
Number of pages	17
Journal	Journal of Computational Physics
Volume	199
Issue number	2
DOIs	https://doi.org/10.1016/j.jcp.2004.02.018
State	Published - Sep 20 2004
Externally published	Yes

ASJC Scopus subject areas

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

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10.1016/j.jcp.2004.02.018

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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.",

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

Abstract

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