Dellar, O. and Jones, B. orcid.org/0000-0002-7465-1389 (2017) Dynamically Correct Formulations of the Linearised Navier-Stokes Equations. International Journal of Numerical Methods in Fluids, 85 (1). pp. 3-29. ISSN 0271-2091
Abstract
Motivated by the need to efficiently obtain low-order models of fluid flows around complex geometries for the purpose of feedback control system design, this paper considers the effect on system dynamics of basing plant models on different formulations of the linearised Navier-Stokes equations. We consider the dynamics of a single computational node formed by spatial discretisation of the governing equations in both primitive variables (momentum equation & continuity equation) and pressure Poisson equation (PPE) formulations. This reveals fundamental numerical differences at the nodal level, whose effects on the system dynamics at the full system level are exemplified by considering the corresponding formulations of a two-dimensional (2D) channel flow, subjected to a variety of different boundary conditions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 Wiley. This is an author produced version of a paper subsequently published in International Journal for Numerical Methods in Fluids. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Navier-Stokes; Finite difference; Incompressible flow; Partial differential equations; Reduced order modelling; spectral |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 15 Feb 2017 10:08 |
Last Modified: | 10 Jul 2023 10:46 |
Status: | Published |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1002/fld.4370 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:112252 |