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Abstract
In this paper, numerical results of different flow problems for the three-dimensional incompressible Navier–Stokes equations are presented. The problems describe a flow around an obstacle as well as a flow through a system of pipes. Furthermore, chemical species are added in case of the pipe flow. This additionally comprises a transport problem for the introduced species. The numerical approximation is accomplished with a finite element characteristic projection method based on the schemes of Chorin and Vankan. The numerical method for solving the three-dimensional Navier–Stokes equations and the species equations using the parallel adaptive finite element framework padfem 2 are illustrated. Mean values like lift and drag coefficient, pressure decay and species distribution are presented and compared with existing reference values. Finally, some efficiency results of the used solvers are given.