Galerkin Least-Squares Stabilization Operators for the Navier-Stokes Equations: A Unified Approach

M.A. Polner

Research output: ThesisPhD Thesis - Research UT, graduation UTAcademic

Abstract

In this dissertation we attempt to approach fluid mechanics problems from a unified point of view and to combine techniques developed originally for compressible or incompressible flows into a more general framework. In order to study the viability of a unified approach, it is necessary to choose a starting formulation, therefore the choice of variables in the governing equations is crucial. For example, conservative variables are not suitable for a unified formulation because they result in a singular limit for incompressible flows. When entropy or pressure primitive variables are used, then the incompressible limit of the Navier-Stokes equations is well-defined, hence they are a suitable choice for obtaining a unified formulation. These two sets of variables are investigated in detail.
LanguageUndefined
Awarding Institution
  • University of Twente
Supervisors/Advisors
  • van der Vegt, Jacobus J.W., Supervisor
  • van Damme, Rudolf Martinus Josephus, Advisor
Thesis sponsors
Award date17 Nov 2005
Place of PublicationZuthpen, The Netherlands
Publisher
Print ISBNs90-365-2276-5
Publication statusPublished - 17 Nov 2005

Keywords

  • IR-50848
  • EWI-12185
  • METIS-225291

Cite this

Polner, M. A. (2005). Galerkin Least-Squares Stabilization Operators for the Navier-Stokes Equations: A Unified Approach. Zuthpen, The Netherlands: Wohrmann Printing Service.
Polner, M.A.. / Galerkin Least-Squares Stabilization Operators for the Navier-Stokes Equations: A Unified Approach. Zuthpen, The Netherlands : Wohrmann Printing Service, 2005. 190 p.
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abstract = "In this dissertation we attempt to approach fluid mechanics problems from a unified point of view and to combine techniques developed originally for compressible or incompressible flows into a more general framework. In order to study the viability of a unified approach, it is necessary to choose a starting formulation, therefore the choice of variables in the governing equations is crucial. For example, conservative variables are not suitable for a unified formulation because they result in a singular limit for incompressible flows. When entropy or pressure primitive variables are used, then the incompressible limit of the Navier-Stokes equations is well-defined, hence they are a suitable choice for obtaining a unified formulation. These two sets of variables are investigated in detail.",
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Polner, MA 2005, 'Galerkin Least-Squares Stabilization Operators for the Navier-Stokes Equations: A Unified Approach', University of Twente, Zuthpen, The Netherlands.

Galerkin Least-Squares Stabilization Operators for the Navier-Stokes Equations: A Unified Approach. / Polner, M.A.

Zuthpen, The Netherlands : Wohrmann Printing Service, 2005. 190 p.

Research output: ThesisPhD Thesis - Research UT, graduation UTAcademic

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T1 - Galerkin Least-Squares Stabilization Operators for the Navier-Stokes Equations: A Unified Approach

AU - Polner, M.A.

PY - 2005/11/17

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N2 - In this dissertation we attempt to approach fluid mechanics problems from a unified point of view and to combine techniques developed originally for compressible or incompressible flows into a more general framework. In order to study the viability of a unified approach, it is necessary to choose a starting formulation, therefore the choice of variables in the governing equations is crucial. For example, conservative variables are not suitable for a unified formulation because they result in a singular limit for incompressible flows. When entropy or pressure primitive variables are used, then the incompressible limit of the Navier-Stokes equations is well-defined, hence they are a suitable choice for obtaining a unified formulation. These two sets of variables are investigated in detail.

AB - In this dissertation we attempt to approach fluid mechanics problems from a unified point of view and to combine techniques developed originally for compressible or incompressible flows into a more general framework. In order to study the viability of a unified approach, it is necessary to choose a starting formulation, therefore the choice of variables in the governing equations is crucial. For example, conservative variables are not suitable for a unified formulation because they result in a singular limit for incompressible flows. When entropy or pressure primitive variables are used, then the incompressible limit of the Navier-Stokes equations is well-defined, hence they are a suitable choice for obtaining a unified formulation. These two sets of variables are investigated in detail.

KW - IR-50848

KW - EWI-12185

KW - METIS-225291

M3 - PhD Thesis - Research UT, graduation UT

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Polner MA. Galerkin Least-Squares Stabilization Operators for the Navier-Stokes Equations: A Unified Approach. Zuthpen, The Netherlands: Wohrmann Printing Service, 2005. 190 p.