Habilitation
Numerical Methods for the Unsteady Compressible Navier-Stokes Equations
Abstract
We consider numerical methods for the compressible time dependent Navier-Stokes equations, discussing the spatial discretization by Finite Volume and Discontinuous Galerkin methods, the time integration by time adaptive implicit Runge-Kutta and Rosenbrock methods and the solution of the appearing nonlinear and linear equations systems by preconditioned Jacobian-Free Newton-Krylov, as well as Multigrid methods. As applications, thermal Fluid structure interaction and other unsteady flow problems are considered. The text is aimed at both mathematicians and engineers.
Sponsorship
DFG als Teil des SFB/TRR TR 30, Teilprojekt C2Citation
@phdthesis{urn:nbn:de:hebis:34-2013013042485,
author={Birken, Philipp},
title={Numerical Methods for the Unsteady Compressible Navier-Stokes Equations},
school={Kassel, Universität, FB 10, Mathematik und Naturwissenschaften, Institut für Mathematik},
month={01},
year={2013}
}
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5550 {{Navier-Stokes-Gleichung}}
5550 {{Inkompressible Strömung}}
5550 {{Diskontinuerliche Galerkin-Methode}}
5550 {{Finite-Elemente-Methode}}
7136 ##0##urn:nbn:de:hebis:34-2013013042485
<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2013-01-30T12:49:50Z 2013-01-30T12:49:50Z 2013-01-30 urn:nbn:de:hebis:34-2013013042485 http://hdl.handle.net/123456789/2013013042485 DFG als Teil des SFB/TRR TR 30, Teilprojekt C2 eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Navier-Stokes Stiff Problems Preconditioning FSI Finite Volume Discontinuous Galerkin Unsteady Flows Runge-Kutta methods 510 Numerical Methods for the Unsteady Compressible Navier-Stokes Equations Habilitation We consider numerical methods for the compressible time dependent Navier-Stokes equations, discussing the spatial discretization by Finite Volume and Discontinuous Galerkin methods, the time integration by time adaptive implicit Runge-Kutta and Rosenbrock methods and the solution of the appearing nonlinear and linear equations systems by preconditioned Jacobian-Free Newton-Krylov, as well as Multigrid methods. As applications, thermal Fluid structure interaction and other unsteady flow problems are considered. The text is aimed at both mathematicians and engineers. open access Birken, Philipp Kassel, Universität, FB 10, Mathematik und Naturwissenschaften, Institut für Mathematik Meister, Andreas (Prof. Dr.) Gerritsen, Margot (Prof. Dr.) Bijl, Hester (Prof. Dr.) 76Nxx 65F08 65L04 65L06 65M08 65M20 65M55 65M60 74F10 Navier-Stokes-Gleichung Inkompressible Strömung Diskontinuerliche Galerkin-Methode Finite-Elemente-Methode 2012-10-31 </resource>
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:Urheberrechtlich geschützt