Title: Variational formulation of incompressible Navier-Stokes equations

Authors: Akin Ecer

Addresses: Indiana University Purdue University at Indianapolis, 799 Michigan Street, Indianapolis, Indiana 46202, USA

Abstract: A new variational formulation presented for three-dimensional, incompressible Navier-Stokes equations in terms of primitive variables. The variational problem is constructed in terms of a series of constraints rather than a Hamiltonian principle. Definition of pressure for incompressible flows is uncoupled from the conservation of mass and thermodynamic pressure. The formulation identifies orthogonal properties of pressure, velocity and vorticity fields for three- dimensional flows. The comparison of the variational form to much utilised weak formulation addresses some of the significant issues in computation of incompressible flows.

Keywords: variational formulation; incompressible flows; Navier-Stokes equations.

DOI: 10.1504/PCFD.2023.134896

Progress in Computational Fluid Dynamics, An International Journal, 2023 Vol.23 No.6, pp.381 - 387

Received: 23 Aug 2021
Accepted: 06 Aug 2022
Published online: 16 Nov 2023 *

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