Implicit methods for compressible flow problems

Philipp Birken
Numerical Analysis
Centre for Mathematical Sciences
Lund University


An important part of methods for solving compressible viscous flows, as modelled by the Navier-Stokes equations, are implicit time integration schemes. Thereby, nowadays hardware requires low storage parallel methods. To this end, the software library TEMPO is described, which uses a time adaptive Jacobian-free framework to achieve this. Here, the preconditioner is a crucial component and a new approach for the design of multigrid preconditioners is discussed.