Mathematical modelling of an unstable bent flow using the selective frequency damping method

TL;DR

This paper applies the selective frequency damping method in an adaptive way to model unstable bent flows, identifying flow patterns and their stability at high Reynolds numbers through eigenvalue analysis.

Contribution

It introduces an adaptive formulation of the selective frequency damping method for modeling unstable bent flows and analyzes flow stability at high Reynolds numbers.

Findings

Flow patterns include steady-state and pulsating flows.

Periodic flow arises from steady-state flow instability.

Eigenvalue problem determines the most dangerous frequency.

Abstract

The selective frequency damping method was applied to a bent flow. The method was used in an adaptive formulation. The most dangerous frequency was determined by solving an eigenvalue problem. It was found that one of the patterns, steady-state or pulsating, may exist at some relatively high Reynolds numbers. The periodic flow occurs due to the instability of the steady-state flow. This numerical method is easy to use but requires a great deal of time for calculations.