HOC simulation of Moffatt eddies and its flow topology in the triangular cavity flow

TL;DR

This paper employs high-order compact (HOC) simulation to analyze Moffatt eddies and flow topology in triangular cavity flows, revealing vortex characteristics and topological structures in viscous incompressible fluids.

Contribution

It introduces a new HOC simulation approach for Moffatt vortices and applies topological point theory to elucidate flow structures in cavity flows.

Findings

Identification of Moffatt vortices with computed size and intensity ratios

Analysis of flow topology using critical point theory

Enhanced understanding of vortex behavior in viscous cavity flows

Abstract

In this work, we present HOC simulation of vortices in the triangular cavity for slow viscous incompressible flows by using a recently proposed new paradigm approach for solving Navier-Stokes (N-S) equations. These vortices qualify as Moffatt vortices which are characterized by the computation of common ratios of their sizes and intensities. We further explore topological structures of Moffatt eddies by using crtical point theory which is one of the key concept in the field of topological fluid dynamics.