Projection-based variational multiscale method for incompressible Navier-Stokes equations in time-dependent domains

Pal, Birupaksha and Ganesan, Sashikumaar (2017) Projection-based variational multiscale method for incompressible Navier-Stokes equations in time-dependent domains. In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 84 (1). pp. 19-40.

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Abstract

A variational multiscale method for computations of incompressible Navier-Stokes equations in timedependent domains is presented. The proposed scheme is a three-scale variational multiscale method with a projection-based scale separation that uses an additional tensor valued space for the large scales. The resolved large and small scales are computed in a coupled way with the effects of unresolved scales confined to the resolved small scales. In particular, the Smagorinsky eddy viscosity model is used to model the effects of unresolved scales. The deforming domain is handled by the arbitrary Lagrangian-Eulerian approach and by using an elastic mesh update technique with a mesh-dependent stiffness. Further, the choice of orthogonal finite element basis function for the resolved large scale leads to a computationally efficient scheme. Simulations of flow around a static beam attached to a square base, around an oscillating beam and around a plunging aerofoil are presented. Copyright (C) 2016 John Wiley & Sons, Ltd.

Item Type:	Journal Article
Publication:	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Publisher:	WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
Additional Information:	Copy right for this article belongs to the WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	20 May 2017 04:11
Last Modified:	05 Nov 2018 09:51
URI:	http://eprints.iisc.ac.in/id/eprint/56836

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