Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations

@article{Klaij2006PseudotimeSM,
  title={Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations},
  author={Christiaan M. Klaij and Jaap J. W. van der Vegt and Harmen van der Ven},
  journal={J. Comput. Physics},
  year={2006},
  volume={219},
  pages={622-643}
}
The space-time discontinuous Galerkin discretization of the compressible NavierStokes equations results in a non-linear system of algebraic equations, which we solve with a local pseudo-time stepping method. Explicit Runge-Kutta methods developed for the Euler equations are unsuitable for this purpose as a severe stability constraint linked to the viscous part of the equations must be satisfied in boundary layers. In this paper, we investigate two new alternatives: (1) an implicit-explicit… CONTINUE READING
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