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

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.