Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Fluid Dynamics and Turbulence

DY 33.5: Talk

Wednesday, March 22, 2017, 11:00–11:15, ZEU 160

Discrete exterior calculus for the surface Navier-Stokes equation - the interplay of topology, geometry and flow properties — •Axel Voigt, Ingo Nitschke, and Sebastian Reuther — Institut für Wissenschaftliches Rechnen, TU Dresden, Germany

We consider a numerical approach for the incompressible surface Navier-Stokes equation. The approach is based on the covariant form and uses discrete exterior calculus (DEC) in space and a semi-implicit discretization in time. We compare computational results with a vorticity-stream function approach for surfaces with genus g(S) = 0 and demonstrate the interplay between topology, geometry and flow properties. Our discretization also allows to handle harmonic vector fields, which we demonstrate on a torus.