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Numerical Methods for the Unsteady Compressible Navier-Stokes Equations

Birken, Philipp

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.

Sponsor
DFG als Teil des SFB/TRR TR 30, Teilprojekt C2
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@phdthesis{urn:nbn:de:hebis:34-2013013042485,
  author    ={Birken, Philipp},
  title    ={Numerical Methods for the Unsteady Compressible Navier-Stokes Equations},
  keywords ={510 and Navier-Stokes-Gleichung and Inkompressible Strömung and Diskontinuerliche Galerkin-Methode and Finite-Elemente-Methode},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2013-01-30}
}